Free Press and Democracy

A free press is an essential part of a democratic system. In a society like ours, with its stark inequalities, only a media free of government and corporate pressures can ensure that the voiceless are heard. What we are seeing currently is not just blatant collusion between the media and big business but also a deliberate obliteration of much of what happens to the millions who live on the margins.

via Economic and Political Weekly

This is what Media Lens has to say about the BBC which is supposed to be in public interest and impartial.

Instead of providing responsible, public-service journalism, the BBC acts as a conduit for government propaganda. It is particularly noxious that the organisation relentlessly channels the state’s supposedly benign intentions abroad. This is the diet of daily bias and distortion we are all fed. When will BBC heads roll for that?

But isn’t this true of the media in India also? Or elsewhere in the world for that matter. Tehelka reports that many of the barons of power also control the local media in newly formed state of Chattisgad. And what is the use of controlling media when they are not used for gains. When the so called free media becomes a part of the political parties we cannot be sure of what they report.

If the Congress has Naveen Jindal, the BJP has Ajay Sancheti. If the Congress has the Lokmat, the BJP has the Hari Bhoomi. Barring coal, in which both the Centre and the states had their hands in the till, in the case of other mineral resources, the real corruption lies in the states.

It is not that people do not use media for their own gain, media is used for spreading ideology, there are many mouthpiece outlets for political parties and others which propagate the ideas. But what is worst is that the masquerade that many media houses put on themselves claiming to be honest and working in public interest, and people at large believe them, being obliviousto the fact that these very media houses are the ones who are power brokers and very much in the filth as corporates and politicians. A recent example of this was the Radia tapes.

The complete blackout of the Niira Radia tapes by the entire broadcast media and most of the major English newspapers paints a truer picture of corruption in the country than the talk shows in the various news channels and the breast-beating in all the newspapers about the 2G, CWG, Adarsh, and other scams.

via|G. Sampath – DNA

It was not until the non-main-stream media began to show up too much, there was some coverage given. But the very fact that the accused are in complete denial of what happened is what is disturbing. We usually held names like Barkha Dutt, Vir Sanghvi well but these tapes just show how much they are in the filth of what they pretend to expose. From then on, I have given up on NDTV as a reliable source, which earlier I thought it was. But then what do you trust?

At the same time, it is worth noting that neither Barkha nor any of the other journalists whose names have come up have denied that those conversations took place. So why not let the reader or TV viewer read or listen to the transcripts and decide whether Dutt and Sanghvi’s conversations with Radia are a part of “normal journalistic duties” or amount to pimping for politicians and business houses? Or perhaps they were doing social service for the Congress? Play the tapes on your show, na, Ms Dutt, instead of tweeting about them? Why not let ‘We, The People’ decide, instead of you deciding for us all?

via|G. Sampath – DNA

The media blackout of particular events is what I find disturbing. What it shows the kind of camaraderie that exists between different media houses and their corporate and political cronies. That basically means that the news, sorry the Breaking News that you see is like a managed play, with directors and writers deciding what people see, hear and think. In Marathi novel (Ithink it was Swami (स्वामी) by Ranjit Desai) I had read a sentence which fits these situations well, it reads:

मी मारल्या सारखे करतो, तु रडल्या सारखे कर.

( I will feign to hit, you feign to cry.)

This creates an illusion about real problems. Most of the News channels that are beamed in India follow this line. Put all the focus on some non-issues, or twist them from certain angles so that why all this happens remains oblivious to the viewers. If our media was after all serious about the issues that they present, they would have seen to it that things are done.

Many a times what I have also found reading reports on various different news services is that they are same. I mean many a times they are word to word same, as if the reports have been written at one place and distributed. I do not have links right now, but will update this post when I do. This again creates a picture that what news we see is heavily filtered, and sometimes flavours are added to create sensationalism. And the icing is that we all think this is genuine, with “Free Press in A Democracy”. Orwell had a foresight about this as well:

Of course, print will continue to be used, and it is interesting to speculate what kinds of reading matter would survive in a rigidly totalitarian society. Newspapers will presumably continue until television technique reaches a higher level, but apart from newspapers it is doubtful even now whether the great mass of people in the industrialized countries feel the need for any kind of literature. They are unwilling, at any rate, to spend anywhere near as much on reading matter as they spend on several other recreations. Probably novels and stories will be completely superseded by film and radio productions. Or perhaps some kind of low grade sensational fiction will survive, produced by a sort of conveyor-belt process that reduces human initiative to the minimum.

via The Prevention of Literature | George Orwell

The only reason I see that India is feudal and corrupt is that the so called Free Press was never able to take up the challenge to the nexus, and ultimately now has become a part of it.

In our age, the idea of intellectual liberty is under attack from two directions. On the one side are its theoretical enemies, the apologists of totalitarianism, and on the other its immediate, practical enemies, monopoly and bureaucracy.

via The Prevention of Literature | George Orwell

Though there are dissidents here and there, this now has become global phenomena, with the Indian media people just following the suit. And if this is the case, what difference does it make whether you are living in a democracy or a totalitarian state?

And Orwell wraps it up thus:

A totalitarian society which succeeded in perpetuating itself would probably set up a schizophrenic system of thought, in which the laws of common sense held good in everyday life and in certain exact sciences, but could be disregarded by the politician, the historian, and the sociologist. Already there are countless people who would think it scandalous to falsify a scientific textbook, but would see nothing wrong in falsifying an historical fact. It is at the point where literature and politics cross that totalitarianism exerts its greatest pressure on the intellectual.

via The Prevention of Literature | George Orwell

 

Places, Pictures and People

I like to have pictures of interesting and beautiful places I have been, but it seems unnecessary for me to appear in these pictures, and I have never quite understood why other people want that so much.

via Tikal | RMS

Frankly, I could not agree more. It is more like people want to tell you that I have been there. But in case of nutcases they will make sure that every photo that they take, of the monuments and the cityscapes that they went to, will have themselves as part of the photo. This is narcissism at its best. You want to tell the world that “I was there.” How many social-networking pages/posts are flooded with images of monuments with the poster / people as soon as they visit them? Better still live posting! In an earlier era of non-social networking, people used more cruder methods to tell you this. The solution was simple, just put your name on the monument, to tell all others you were there, or that you own the monument. Not that it is a bad thing, but at times it takes away all the beauty of the place under question to limits of what can be considered to be decent.  But this just seems to be just one more human tendencies, which I am not able to relate to, which would be because may be I am becoming de-humanized.

On another note, even kings and emperors could not give up this temptation. Apparently after conquering the Adilshahi kingdom of Bijapur, the last Great Mughal Aurangazeb, made an inscirption on the Malik-e-Maidan cannon (This cannon second largest, single cast canon). Though more artfully made, it is of the same kind.

On the Marathas…

Meanwhile the task of resisting Aurangzeb called less for a saint than for a man of action ; and such a man appeared in the person of Sivaji Bonsla, the son of a chief of no great property in the neighbourhood of the Western Ghauts to the east of Bombay. Born in 1627 – the year when George Villiers, Duke of Bucking- ham, led his abortive expedition to Rochelle – he was brought up at Puna, and early conceived the ambition of dispossessing the Mohammedans of the south, and setting up a Hindu kingdom in their stead. His men were hardy peasants from the mountains ; his horses, not less important than his men, were drawn from the valleys; and with these he sallied forth to capture hill-fortresses, and to use them as bases for raids upon the surrounding country. Being a great military genius he rapidly achieved success; and by 1664 had carried his incursions so far as to seize and sack the imperial city of Gujarat. This was a direct defiance to Aurangzeb, who sent an army to crush him, and succeeded in forcing him to surrender upon terms; but the wily chief soon contrived to escape, and returning to the Dekhan quickly reestablished and widened his ascendancy. He died in 1680, but he had already done his work in founding the power of the Marathas.

What the Marathas exactly were or are no one seems able accurately to define. They were not a caste, they were not a sect, they were not a nation; and, though some of them claim to be of Rajput origin, this pretension seems to be disposed of by anthropometric tests. Their name is taken from the territory of Maharashtra, and their language is called Marathi ; but they are not the only inhabitants of that territory nor the only speakers of that tongue. In 1901 they numbered only five millions; and yet in the seventeenth century they ruined the armies of Aurangzeb, shattered the might of the Moguls and bade fair to become the masters of India. It is difficult therefore to predicate anything certain of them except that they were and are emphatically a power, and that they rose to that eminence wholly by the sword. Yet, though they were valiant warriors, their military organisation was loose enough ; while their military tactics, if one may coin an expression, were of the offensive-elusive order. They swarmed out as great disorderly bodies of horse, devouring the country like locusts, carefully avoiding anything like a pitched battle, but hovering always about their enemy’s flanks and communications, swift to see and to make profit of the slightest advantage, equally swift to perceive and to avoid any danger. Thus they wore out the Mogul armies, and broke the hearts of their generals by remaining always near enough to inflict much mischief, but always remote enough to suffer no harm. If they were suddenly compelled to assume the defensive, they had a perfect genius for choosing and occupying a position where they could resist attack ; and woe to the army that retreated before them. Their leaders have always included some of the deepest and subtlest intellects in India ; and yet their genius, so long as their ascendancy lasted, revealed itself as mainly destructive, and their instincts as wholly predatory. They levied tribute remorselessly, under pain of pillage, upon vast districts, and on condition of payment suffered them to escape famine and desolation. They showed, indeed, remarkable administrative talent in the collection of that tribute; but there their constructive work came to an end. It is therefore hard to see how India could have improved – how indeed it could have failed to deteriorate – under their mastery. The history of the country, so far as we have traced it, has been a continuous record of wars, revolts and intestine divisions ; in the midst of which, at rare intervals of precarious repose, there had sprung up noble monuments of art and literature. There was nothing creative about the Marathas. Their reign, it is true, was short; but, even had it been prolonged, we can hardly conceive of the association of poetry or architecture with their name. For all their valiance and subtlety their rule was a blight rather than an influence. Once indeed, and in one particular, they imitated a foreign model in their own domain of war ; and we must now examine where they found this model, and how it was turned to their own ruin.

via text of “Narrative of the visit to India of their majesties, King George V. and Queen Mary, and of the coronation durbar held at Delhi, 12th December, 1911” by Fortescue, John, Sir, 1859-1933.

When Kings Rode To Delhi…

Recently read a book titled When Kings Rode to Delhi by  Gabrielle Festing, which is available here. In the book there is a chapter on Sivaji called The Mountain Rat, title supposedly given by Aurangazeb to Sivaji. After the killing of Afzal Khan, this is what the author has to say:

 In the eyes of a Maratha, who believed himself Bhavani’s chosen warrior, such treachery was meritorious, and the slaughter of the envoy was an act of devotion.

Further the author describes various exploits and acts of Shivaji and in the end he says:

An attempt has been made to cast a glamour about him and his hordes, as patriots, deliverers of their country from foreign rule, devoted heroes who faced desperate odds. After a dispassionate survey no glamour remains. Sivaji was a typical Maratha of the best kind that is to say, he was as unlike the Rajputs from whom he claimed descent as the South African Boer from the good Lord James of Douglas. Never, unless they were driven to it, did the Marathas fight a pitched battle in open field ; the joy of fighting, which made the Rajput deck himself with the bridal coronet, the desperate valour which heaped the plain of Samugarh with yellow robes till it looked like a meadow of saffron, was incomprehensible to the wolves of the Deccan. They fought, not for a point of honour, or because they enjoyed fighting, but in a commercial. spirit, for the sake of what they could get; their word for “to conquer in battle” means simply “to spoil an enemy.” The Rajput was indolent, when not roused by pride or the thirst for battle; the Maratha was untiringly energetic as long as he had anything to gain, but would sacrifice nothing for pride or scruple.

This must be said for Sivaji, that while he lived his followers were forbidden to plunder mosques or women ; after his death his son pursued a different policy.

Zero

For a proper understanding of the evolution and the need for the concept of zero we need to understand how our current number system has evolved from its ancestors. The very need for the concept of zero did not arise till the number systems themselves were well developed. The advancement in the number system necessitated the need for the concept of zero as we now know it. We can identify two distinct manifestations of zero; one is zero as a placeholder and the other is zero as a number, the former has  much earlier origin than the later.
Humans probably before having the concept of numbers or counting then, would have begun with enumeration. By enumeration it is meant that we simply keep a track of objects in a collection or a set by matching the objects with other objects used as counters. A shepherd can keep the track of sheeps in the flock, by keeping pebbles which are equal in number to the number of sheep s in the flock or equivalently [if possible] by counting body parts. Then just by matching each sheep with each pebble the record of number of sheep s can be maintained. When the number of sheep s is increased or decreased the same number of pebbles or other counters can be increased or decreased correspondingly. The other counters that one can have for this type of counting can include the human body itself. In fact many primitive societies do indeed have a counting system based on the body parts. This is the most basic system of counting that we can have. No language is needed for such one-to-one counting.
When the languages developed, particular words were created for various body parts, so these words were used instead of the body parts themselves. This is a transition from enumeration to numeration. Thus one has to remember only the word names in order for counting. But this does not imply the idea of cardinality of number being present in this numeration. For the notion of cardinality of a number to be used in the idea of numeration it required some time. When the questions were asked in the form How many…? in the ancient texts, the answers to these type of questions are given best in terms of the cardinal number. From this further growth would be, the concept of ordinality i.e. the order of things is not important when counting objects. It relates to the fact that the last number enounced in a set not only assigns a certain name to the last object in the set to be matched but also tells us how many objects are there in that set altogether.

The further development of this numeration is the formation of numeration systems. The need for the number systems typically arose from the following question:

What is to be done when the finite ordered sequence of counters is exhausted, yet more objects remain to be matched?

This particular question was answered in different ways only one of which led us to the current number system we have. One of the most simple solutions to this is to extend the ordered sequence of counters. So that we invent new symbols or names to accommodate the excess objects that are to be matched. But this approach makes no sense when we have large number of objects that are to be matched. 
A simpler way which lends itself well to the written representation, was extension by repetition. The extension by repetition implies a number system which is based on the additive principle. Most of the primitive number systems are based on the additive principle. Here the figures are entirely free. Their juxtaposition entails adding together their values. In a number system based on the additive principle it makes no difference where you place the symbols corresponding to the numbers. Some of the numbers systems based on the additive principle are; Egyptian, Cretan, Hittite, Greek, Aztec, Roman, Sumerian etc. As an example of the additive principle we consider the Egyptian system. In this system if we want to represent the number 5247 it can be represented in following ways:
When we break down the representation based on the additive principle we get the following:
Thus we see that in the representation of a number in the number systems based on the additive principle. Since addition is both commutative and associative, irrespective of where we place the base numbers the final number that is represented by the various combinations of these numbers remains the same.
This system though seems simple puts a lot of cognitive load on the user. First of all there are different symbols for different numbers and in many of these number systems the symbols have some intuitive association [at least in the lower range] to the number that they represent. So to represent large numbers a large number of different symbols were to be used. In our example of representing the number 5247 in the Egyptian hieroglyphic notation  we have used a total of 18 symbols. Many times for representing large numbers new symbols had to be introduced. The arithmetic operations with these systems presented another difficulty. The number systems based on the additive principle are not well suited for arithmetic operations. For example consider the following sum in the Roman notation:
The above sum gives us no clue to what is supposed to be done. Though there are methods to perform this operations, but the procedures involved are very complicated. The above sum in the current notation would be:
In the number systems based on the additive principle the number signs are static in nature, which have no operational significance. The number signs in this case are more like abbreviations which can be used to write down the results of the calculations performed by some other means. To do arithmetical calculations, the ancients generally used auxiliary aids such as abacus or a table with counters. 
The enumeration, numeration as we have seen do not have any requirement for the concept of zero as a number or a placeholder. The same is true with the number systems based on the principle of addition, in these systems there is no requirement of the concept of zero.
The next step in the evolution of the number systems was the hybrid system, called so because it involves use of both addition and multiplication. In the hybrid system when the symbols for lets say symbols for 1000 and 5 are presented together, they meant 5 x 1000 = 5000, whereas in the additive system they will mean 1000+5=1005. In the hybrid system there were basic symbols for the numbers, and symbols for various powers of the base, for example in a base 10, system the symbols for 100, 1000 etc. These number systems used the additive principle for representing numbers below 100.
In case of complete hybrid systems there were special symbols for the numbers 1 – 9, and all numbers including the tens were represented as a product of these base numbers and the powers of 10. This increased the range of numbers that can be represented. The notable hybrid systems are Assyro-Babylonian, Phoenician, Singhalese, Mari, Chinese, Ethiopian, Tamil, Malayalam, and the Mayan. We consider an example from the complete hybrid systems to represent the number 5247 from \cite{uni1}.
When we break down the representation based on the multiplicative principle we get the following:

The hybrid systems thus need a specification of the powers of the base which, determine the value of the number in a given position. This brings us a step closer to the positional number systems based on the multiplicative principle. The hybrid system are not all forgotten and are still in use today. When we verbally read a number it is more of a hybrid number system that we use that a positional number system. That is to say when we read the number 5247, we spell it out as five-thousand two-hundred and forty-seven. Here when we verbally read a number we also explicitly give its corresponding powers just like in case of the hybrid number system. Even in this case the need for zero is not there, the hybrid systems can work without the use of the concept of zero.
So to conclude the hybrid systems are  “Systems based [at least after a certain order] on a mixed principle [both additive and multiplicative] that invokes multiplication rule to represent consecutive order of units.” 
We now move to the positional systems or multiplication based systems. These systems have a more abstract representation. The value of a figure in these positional systems varies according to the position in which it occurs in the representation of the number. Due to this the coefficients of the power of the base, into which the number has been decomposed appear. For example in a particular representation the actual value of a number, lets say 5 will depend on which position 5 is present in. If 5 is present in the units place then it represents 5, when it is present in the tens place it represents 50, and so on. If in the hybrid system if we remove the symbols used and just have the numbers only we have a positional number system. In this case the powers of the base for our case take base as 10, are implicitly figured out from the position of the numerals in the representation of the number. We know that in the positional representation of the number 5247, 5 is in the thousands place, 2 is in the hundreds place etc. Once this order is fixed then can we represent a number without any ambiguity? If we just consider the coefficients of the number 5247, the the answer to this probably seems to be true. But is it always so? For answer to this consider another example. Suppose we want to represent a number 1043 in the positional number system. In case of hybrid number system the representation would be like this:

so if we now drop the powers of the base, and just take the coefficients we are left with:

But this is not correct, since 143 is another number and not 1043.Similarly if we take just the coefficients of the number 10403, they are again 143. In case of the non-positional system this was not a problem, since every power and the corresponding coefficient was made explicit. But here if we just consider the coefficients of the number in a particular base, we cannot be sure that the number that we are representing is correct, unless we know for sure that a particular coefficient corresponding to a particular power is not present. In case of 1043 we have the coefficient of 100 absent. Some of the earliest positional systems that were developed suffered from the same problem. In case of the Babylonian system, we are not sure of how to read a particular number in many clay tablets, and the number has to be guessed from the context of the problem. Since the Babylonians used a base of 60, so a number [lets take 5247] was represented as:

In this case there was no ambiguity in base 60 number would be written as [1;27;27]. But even in this case there was no guarantee that the number represented is the number that we want. Suppose if we want to represent 3627 in this notation, then it would be represented as:

which is very easy to confuse with

Thus we see that in case of the positional number system we required a notion that tell us whether a particular coefficient is absent. This requirement initiated the need for the concept of zero. So the discovery of zero was therefore a necessity for the strict and regular use of the rule of the position, and it was therefore a decisive stage in the development of mathematics. So how do we make sure that something is not present in a particular position in a given positional representation of a number. It becomes essential then to have a special sign whose purpose is to indicate the absence of anything in particular position. This thing which signifies nothing, or the empty space, is in fact the \textsl{zero}. As \cite{uni1} pg. 668 puts it: “To arrive at the realisation that empty space may and must be replaced by a sign whose purpose is precisely to indicate that it is empty space: this is the ultimate abstraction, which required much time, much imagination, and beyond doubt great maturity of mind.”
The concept of zero has been discovered three times in the history independently. It was discovered first by the Babylonians, the Mayans and the Indians. All these three civilizations used the positional number system for which the concept of zero is needed. The Babylonians tried to get away with this difficulty by leaving empty space where the missing  coefficients of particular order were to be found. Hence they would write a number such as [1; 6] for lets say 3606. But this did not solve the problem completely. In copy or reading these spaces could be overlooked, and particularly when two or more space were to be given it could be confused with one space. But since the Babylonians has the base as 6o the need for writing numbers with zero in between arises on a very few occasions than it does in the number system with base 10. In case of the sexagesimal numeration only in 59 integers below 3600 this arises; as compared to 917 cease in the base 10 system \cite{boyer}. The Babylonian zero is the first zero to arrive on the scene. To denote absence of a coefficient of a particular order in their representation of the number, the Babylonians used a special sign [after fourth century BCE], which is the a cuneiform sign looking like a double oblique chevron. The Mayans developed their positional system with base 20, but they were not consistent with the use of the powers of the base after the third position \cite{uni2} pg 670. The Mayans understood the concept of zero sign, but they did not have its operational usability due to their inconsistent positional system. In case of the Babylonians it was never understood as a number synonymous with empty and never corresponded to the meaning of null quantity. So we see that in spite of having the notion of zero the Mayans and teh Babylonians did not get much further in this. The Mayan and the Babylonian zeros are as given in the figure.
If we work out the number represented in these notation the numbers are:
 
In the Babylonian notation.

In the Mayan notation.

The credit of having a well conceived positional system, which is operationally useful goes to the Indians. This step was taken by simplifying the hybrid notation, by suppressing the signs indicating the powers of the base. This required a much higher level of abstraction: the zero. This can be regarded as “… the supreme discovery of mathematicians who soon would come to extent it, form its first role of representing empty space, to embrace truly numeric meaning of a null quantity.” The Indian civilization was the only one to achieve this great feat. This system came up as a result of conjunction of three great ideas :
1.The idea of attaching each basic figure with signs removed from intuitive associations.
2. The idea of a positional number system, in which the value of a number depends on its position in the representation.
3. The idea of a full operational zero, filling the empty spaces of missing units and at the same time having the meaning of a null number.
In the system thus developed it does not matter what signs or base we use for the system, if it rests strictly and rigorously of the principle of position and incorporates the full concept of the symbol for zero. The discovery of zero in India and the place value were inventions unique to the Indian civilization. The roots of the development of the positional number system in India can be traced to the use of spoken sanskrit [संस्कुत] numeral system [Treatment of the development of Indian positional system follows from \cite{uni1}, \cite{uni2}]. The sanskrit spoken language has for each power of ten an individual name, “… so that to express a given number, one only had to place the name indicating the order of units between the name of the order of units that was immediately below it and immediately above it.” In fact there are names to the powers of 10 till 10^140 \cite{uni2} pg. 134. This is what is required in a positional number system. From the sanskrit spoken numeral system the Indian system of numerical symbols was formed. As soon as place value system was rigorously applied to the nine simple units, the use of a special terminology was indispensable to indicate the absence of units of a particular order. The sanskrit language already possessed the word shunya [शुन्य] to express void or absence, which also an element of mystical and religious philosophy. So to express the new mathematical notion of zero the term shunya could be used. This is how the word came to perform the function of zero as a part of the counting system. 
Indian mathematicians before discovering the place value system, used their fingers or concrete mathematical devices. The most common was the abacus; from left to right, the columns representing the various powers of ten. The first nine numerals were traced in sand or dust, inside the column of a particular decimal order. Thus the number 5247 would have been represented in the following manner :
If a particular order of units was missing, one only needed to leave that particular column empty. Thus for representing 5047 we would write:
So with all this the necessary ‘ingredients’ for the creation of the written place value system had been amassed by the Indians:
  • Distinct representation of one to nine numbers, which had forms unrelated to the number they represented.
  • Discovery of the place value system.
  • Invention of the concept of zero.
Still some things were still absent for the perfection of the number system:
  • The nine numerals were only used in accordance to addition principle for analytical combinations using numerals higher than or equal to ten, the notation was very basic and limited to numbers below 100,000.
  •  Place value system was only used with sanskrit names for numbers.
  • Zero was only used orally.
The only thing that remained was to combine these ideas. By using the nine bramhi [ब्राम्ही] numerals on the dust abacus this stage already had been reached. 
The two methods of expressing the numbers bramhi numerals and sanskrit names of numbers were known to the Indian mathematicians. In the dust abacus the numbers were drawn in contemporary style. The numbers in sanskrit were expressed in orders of ascending powers of ten; from the smallest to the highest. So that 4769 is written as:
And it is read in sanskrit as:
नव शष्टि सप्तशत् च चतुरसहस्त्र 
Meaning: nine sixty seven hundred and four thousand.
In the written numerals however the opposite order was used. The evidence for these methods goes back to third century BCE. IF we look at these two opposite ways of representing the number, indicates an inconsistency. This is what the Indian mathematicians expressed as :
अंकानाम वामतो गति:
Meaning: principle of the movement of numerals from the right to the left.
Since the brahmi had a limited numeral base [highest number expressed was 90,000], so any calculation larger than this was to be expressed in the sanskrit names for the numbers. In the dust abacus extremely large computations could be performed, and the successive columns in the abacus always rigorously corresponded to the consecutive powers of ten. The same mathematical structure was present in the sanskrit counting system. Thus each system was a mirror image of the other. Though the numbers are read from the right to the left from the smallest to the largest. The structure of the abacus is such that the mathematician has no other choice but to follow the principle
अंकानाम वामतो गति: principle of the movement of numerals from the right to the left.
The solution to write a number in this way was to start with the column for the simple units. This led to the abandonment of the old system. By beginning with highest power of ten, one immediately knows the size of number we are dealing with, but this did not facilitate drawing. Hence the opposite system was adopted; no matter how high a number, there could be no mistake as to which column to write it in. This was conserved when the positional notation was invented using numerical symbols.
All this lead to the following notation, “the numbers reading from left to right in descending powers of ten, constituting a faithful reproduction, minus the columns, of its representations on the abacus, as well as reflection of the abridged form of the corresponding sanskrit expression. Thus came the decimal position values which were given to the first nine numerals of the old notation. This was the birth of the modern numerals.
Now to convey the absence of units in a particular decimal order a new symbol was necessary. This was not required in the case of the abacus, but in the new positional system it became a necessity. The  language already had the word symbol that expressed the concept zero, the shunya, it also conveyed the concepts such as sky, space etc. The circle has been considered as the representation of the sky, hence through a simple transposition of ideas it came to represent the concept of zero. Another sanskrit term representing zero was bindu [बिंदु], which literally means “point”. The point is the most insignificant geometrical figure, but for Indians the point represents the universe in non-manifest form. The point is the elementary of all geometrical figures, with potential for creating all the shapes, and hence was associated with zero. Zero is the most negligible quantities, but most fundamental of all abstract mathematics. The point also thus came to represent the zero. The two forms of the Indian zero are as shown in the figure below.The most likely time that the positional value system and zero were discovered is in the middle reign of the Gupta dynasty which ruled the Gangetic plains from about 240 to about 535 CE.

Along with the loaded philosophical connotations that were associated with the word shunya it served to mark the absence of units within a given decimal order in any position; the point or the little circle were used in the same way. This zero was also a mathematical operator; if placed after a number, it meant the number was multiplied by ten. Thus the three significant ideas that we have mentioned earlier were combined to give us the modern positional number system. Soon after this the concept of zero was perfected. Zero was given the status of a number, i.e. to say its cardinality was recognised. After this various arithmetic operations on and with zero were defined, which led to foundation of modern algebra .
The Arabs got this positional number systems from the Indians. The Europeans in turn got this system from the Arabs. The origin of the word zero or cipher can be traced back to this transfer of the positional number system to the Europeans from the Arabs. The Indian word for zero is shunya, from this the Arabic name sifr meaning vacant was given. When this was transferred to the Europeans the sound was kept but not the sense; Fibonacci called it zephirum. This was then passed over as zeuro, ceuero, and zepiro, which finally led to the current day synonyms which are the zero and the cipher.
References

Boyer C. B. :
Zero: The Symbol, the Concept, the Number
National Mathematics Magazine, Vol. 18, No. 8 , May 1944
Irfah G. : 
The Universal History of Numbers I
Penguin, 2005
Irfah G. : 
The Universal History of Numbers II
Penguin, 2005
Ore O. :
Number Theory and Its History
Dover, 1948

Prejudice and Pride

Pride and Prejudice
As a part of the graduate courses we had to do a few presentations. During the course on sociology of education I reviewed a book Prejudice and Pride by Krishna Kumar. When I was first told about the book I was not too keen to do the review, as the title suggested nothing about the content of the book. But when I was told about the synopsis of the book I became immediately interested. So what is this book with a title made by rearranging the title of another famous book by Jane Austin about. So we will first talk about the subject matter of the book.
What this work is about?
As the back cover of the book says it is a comparative study of the modern representations of modern history in Indian and Pakistani textbooks. The book consists of an inquiry into the perceptions of the past that the Indian and Pakistani children encounter at the school. So the book is about the kind of history being taught in the schools to children in India and Pakistan. So we being the children and product of such an education do differ from our Pakistani counterparts in our  view of history.
History as it is known is seen by different people differently. For some heroes are villains and vice-versa if change the sides of a given conflict. Thus for us Indians the British officers who established and firmed the British rule in India would be villains whereas for the British they were heroes. So to form an objective view about the history of a particular event is very difficult if not impossible. One of the reason for this is the fact that we depend upon historical evidences for building the image of the past. These evidences may be in form of reports, books or other works and folk tales about that particular event. Thus we will be most of the time biased and subjective about the information that we have to build upon the image of the past we have. It will be no wonder that the images of the past that are familiar to us, are at times starkly different from those brought in a different culture.
In general there is gloom in the education systems of both the countries. India is no more better off than Pakistan in general in the education field. The subject matter of this work in particular is the history as taught in the two countries. In a sense there is an absence of academic curiosity in both the countries towards each other. We have no ‘experts’ in India on Pakistan and likewise for Pakistan. Compare this with the experts that the USA and the former USSR had for each other during the cold war era. There were entire think-tanks dedicated to know about the ‘other’.
In case of India and Pakistan, both the countries live under the impression that they know each other. This emanates from the fact that the ‘other’ is, after all, a former aspect of the ‘self.’ India and  Pakistan are politically so far apart, but, geographically and culturally so close that there is no room for an epistemic space between them. This makes us believe that we know the ‘other’ too well.
One of the roles of education in the modern states in the world is imparting a sense of national identity. The children are indoctrinated via history to have a ‘nationalist’ character. So history as taught in the schools takes the burden of nation building than any other subject that is taught. One of the roles of history to arouse the interest of the young in the past and to inculcate a respect for it is sidelined in modern day India and Pakistan. Whatever debates that are present in India and Pakistan on the teaching of history are political and not pedagogic. The pedagogic uses and role of the subject of history has been given up for the more important role of history as tool for nation building.
Why the modern history?
The author choose to concentrate on the modern history of the sub-continent. The ‘modern’ is meant to connote here the era from 1857 to the freedom and formation of the two nation identities in 1947. The older history of the sub-continent is more controversial in the sense that the views that are portrayed by the history as taught in the two nations are radically different. ‘Invaders’ in India are seen as ‘heroes’ in Pakistan. No wonder that even the modern history of the two nations is subject to the bias of the respective countries.
What most people and more importantly the young children don’t realise that there is always another view of the history, through which the now familiar events look totally alien to us. When we come across such histories there is a sense of  jamais vu involved. Suddenly the things so well known to us are entirely changed in terms of the perspectives. Also the events that we think are important with respect to the history that we are taught, would be trivial in some other histories.
 Modern history has greater potential to for engaging children in activities connected with the study of the social sciences than the history of other periods has. So this has the potential to establish the modern period as a subject matter for advanced studies. It will help promote a better understanding between India and Pakistan by helping readers in both countries to grasp how a common recent past is looked by the other.
In this case the researcher being an Indian the impartiality of the researcher demanded great self restraint and imagination on the part of the researcher. Unknowingly the researcher would be biased in forming the opinions which are so ‘clear and simple’ for us. So one of the major objectives of this study is to examine the rival ideologies of nationalism into which schools attempt to socialize the young. Another objective being a probe into the politics of history writing as a means to understand the contribution that schooling makes to the Indo-Pak conflict.
Many things that come out of this study are interesting and I was surely taken aback by some of them. The familiarity that we have with the events of the past is lost when we take the `other’ perspective into account. The study was based on the sample of textbooks taken from both the countries.  The Pakistani text books that formed the part of the study were both privately published and published by the various state boards. The regional variation in the text books of Pakistan was found to be much less than than in India. The Indian sample consisted of the books by various state boards, ICSE and NCERT and CBSE.
The Challenge of The Past
In this section we discuss the cognitive challenge that teaching history at school might present to children. Before coming to the school the children have some tacit knowledge about the past. By primary socialization it is meant the induction of the child in the society. When the children are introduced in the society they are taught the customs, practices and norms of the society that they are going to be a part of. During this a certain amount of knowledge is essentially passed on to the children, which helps them form an identity for themselves in the contemporary society that they are a part of. So by the time children go to school they have acquired the basic deeper imprint of membership of a society as an outcome of primary socialization.
The school thus gets a child with the basic notions already formed, and these are very difficult to change in the school. The school has no option but to work with the personality of the child thus formed. The schools are seen as instruments of cultivating loyal citizens. And in the secondary socialization the children are socialized into an ‘approved’ past. This ‘approval’ is from the state. Also the difference between the awareness and knowledge is quite often blurred for the children. For example consider the statement
India gained independence from the British rule on 15th August 1947.
Now just to ‘know’ this information as a matter of fact is quite different from having a deeper knowledge about the notions of independence, rule etc. Almost all people know this, but how many of them can actually understand the meaning of a sentence like this, when it is translated in terms of the events, people and the circumstances that were present at that point of time. Events which occured in the past require us to appreciate the circumstances, values and choices that shaped the people who were involved
 To analyze historical events we need to go into a time frame without being completely submerged in it. By this it is meant that we have to see the ‘past’ in terms of the ‘past’. We should not cannot impose the contemporary beliefs, thoughts and values on the people and the events of the past, because if we do that we might loose the view that the people of the past had. Thus the cognitive challenge that history presents is certainly great and it requires much more processing on the part of the learner who is presented with the facts of the history. For in history each event has to be seen in dual mode:
  1. The given event as the outcome of the events preceding it.
  2. The given event as the cause of events following it.
Thus for example when we see the rebellion of 1857, we have to see it in the light of the events that caused it, and at the same time we also have to see it in the light of the events that it caused. How we see a particular event would strongly depend on what framework of history we already we have. The most natural way for us to see any event is to fit it in the framework that we already possess. Also anomalies, if any, are usually ‘interpreted’ in a way to fit the framework. Changing the framework itself is very difficult even for the adults and I guess almost impossible for the children. For example if we are told that ‘Gandhi was not at all important for the freedom from the British,’ then how are we going to react? We have been always ‘told’ that this is so, so we believe it. The point that I want to make here is not just about the role of Gandhi’s involvement in the freedom struggle, but rather just to give the reader a taste of what change in the framework could result in.
Coming back to the two positions that a reader in history has to take into account, cognitively what is requirement for making such conjectures? This requires on the part of the children the capacity of  reversibility. The reversibility as defined here is the reversibility of the Piagetian tasks. Piaget places the ability of the reversibility in the concrete operational period of his framework of cognitive development.
One of the ways in which the reversibility can manifest in the children is reversibility of thought.
The children thus have two main difficulties that they face when they are learning history in the school. One of them is cognitive and the other is sociological plus cognitive. The impact of culture upon the image of the past that we have is tremendous, and this is particularly true for children. A child can be often presented with a version of history as a part of primary socialization, which is not the one which is ‘approved’ by the state. The popular social memory both in India and Pakistan about the events in the past shapes the framework of the children, according to which they try to make sense of the facts presented to them later. In this case it will directly conflict with the knowledge that is presented in the school. For example if a child is told at the home that ‘Great unjustice was done only to Hindus during the partition’, then this is certainly going to conflict with the ‘approved’ version of the history being taught at the school. This is what I call the sociological plus cognitive problem that the children face. How can something be true and also be non-true at the same time? This I guess is not only a problem with children but also [more] with adults. The notion that there is only one truth, and that is what I believe in, the rest are propaganda’s seem to fit the right wing frameworks present in both the countries. The very idea of reality can be seen in a different light is not acceptable to most of us. Why? Because we don’t want to be in a world where we cannot understand something that is not the part of our standard framework.
The other major problem that the children face is cognitive. This relates to the fact that how much the teaching of history at school attunes itself to the cognitive levels of the children. As we have seen the interpretation of historical events requires a notion of reversibility on the part of the learner, how many text books address this fact, or even take into account this. As in India so in Pakistan the role of history as a subject is seen more as a subject to be passed than anything else. The pattern of rote learning the subject without understanding the complexities of the issues involved, seems to be the idea of  doing history in both the countries. More emphasis is on the ‘knowledge’ part than on ‘awareness’ of the subject at hand.
Also as far as the ‘good’ careers are concerned the subject of history is taken over by more fruitful subjects of mathematics and sciences. So history is just seen as an auxiliary subject which has to be passed, and which can be passed without understanding, because it is not going to help you in the future to secure a ‘good’ career.
Frames of Popular Perception
In this section as title suggests we will focus on the frames of perception by which the general population forms a framework so as to understand the past. For this we have to understand the notion of  the ‘other’. What is meant by the ‘other’? In both India and Pakistan the past is intertwined with the current and evolving perceptions of the ‘other.’ Our own national identities are seen in the frames of perception by hinting at the ‘other’. Each side has something of the other in it. Each country presents a strong case of dependence on the ‘other’ for defining itself. Thus question can be raised that ‘If Pakistan is an Islamic state how can India be a secular one?’ For if India were a truly pluralist society there would not be any need for Pakistan. We see that India’s portrayal as a ‘secular’ society as opposed to an ‘Islamic’ one in Pakistan is exactly this. We need to contrast ‘our’ nation with ‘their’ so as to prove our identity.
I liked this part of the book very much. It really shakes you and your perception about the past. So what this essentially means is that there is a Pakistan which we Indians may not have the epistemic means to fathom and same is true for a resident of Pakistan for India. It really provides you with a clue of how hard it is to let go the perceptions we already have. As for the case in Pakistan education there has succeeded in dissociating partition from its painful violent reality and has in turn converted it into an achievement for all Pakistanis. The very idea that India does not accept Pakistan’s existence and Pakistan poses no real challenge for India are the two sides of the same emotion. The point that is being made here is that do define the very concept of Pakistan as a nation in the past and in the current times, the perception of the ‘other’ is being taken into account.  Thus the national self awareness is also determined by reference to the  ‘other.’
For case of India the event of Partition is seen as an inevitable turn of events. While the current view of Pakistan is in terms of an active supporter of terrorism. Also due to the unstable democracy in Pakistan a view is that [I somehow liked it very much] ‘An army looking for a country’. Most of the Indian perception about Pakistan is derived from pre-partition memory and the wars that followed with Pakistan. Thus we see that the notion of the ‘other’ is interwined with our past as well as our present.
Ideology and Textbooks
The state in both the countries wants to present its ‘approved’ version of the history to children to inculcate in them the qualities of an ideal citizen of the given state. No wonder that the history as seen in the different frameworks will be different. In this approach the textbooks are instrumental, and this is a direct descendant of the colonial past. Under the British rule in the sub-continent the history was presented in a version that was ‘suitable’ for the administrators. In case of India the Kothari Commission showed willingness to turn nation building into an ideology and to see the education as a prime instrument to propagate it. In India there is a leftward tilt, with the political ideology being essentially modernist and progressive, while pedagogically it is conventional in character. Why this stark contrast in the philosophy and the pedagogy of the history being taught is the question that we want to ask. This is partly because it suits the state ideology so.
 In the case of Pakistan the urge to define and construct Pakistan as an Islamic nation occupies the central place in the system. The concern for national identity of Pakistan occupies form of an obsessive mission, for which ‘evidences’ are seen throughout the history of the modern era. Thus ideology is used in Pakistan to indicate a rationale for self identity.
  In India recent trends to ‘color’ the content have been started, against the official policy to propagate a secular version of the nation. The colonial past gives a common heritage to both the countries in terms of the central control over what is taught and how it is evaluated. In both the countries the prescribed textbooks form the de facto curriculum. Questions like
In what way did the revolt of 1857 influence the nationalists during the struggle for freedom?
  which do appear in exams relate to the fact that there is a way in which the revolt influenced the nationalists and this is the way which you are supposed to know and write about. Does this not destroy the notion of history itself, for the facts themselves can  be evaluated in terms of framework you see them in.
  I cannot help here but to bring from the philosophy of science the notion of ‘theory ladenness of data.’  This is one of the factors which led to the downfall of the Logical Positivists, in the late half of 20th century. What this essentially means is that whatever observations that we have, can be interpreted by us only in the terms of the theory that we are working with. This is something which you cannot do away with. The Logical Positivists on the other hand believed in the exactly opposite thing. They thought that the observations presented an objective truth which can be evaluated without any reference to theories. But this I guess is a normative position than a descriptive one as regards to the science. This view is obsolete in the philosophy of science and now philosophers do believe in the theory ladenness of data. More cannot be said to be true about the subject of history itself. Though it took some time for the philosophers of science to realize, this has been always the case with history. The notion that science is objective in terms of the outlook,  unlike history was abandoned.
  Here I cannot but restrain myself from giving example from George Orwell’s 1984, where in Ministry of Truth’s dictum says:
 
Who control the past, controls the future.
  Who control the present, controls the past.
Is this not what our governments are doing? The more I think about this more I am convinced that our present state has the form of the Orwellian state. Where in the past is rewritten so as the state is always right. The difference being that our textbooks were written once and have been propagating the same stories since then. Is not the state trying to control the future, in terms of the citizens that are being made by the education that is imparted to them. This I guess is the Nehruvian vision, where the educated elite are supposed to keep out of politics. Politics in most of the ‘good’ families is seen as a ‘dirty’ game, where people from ‘good’ families should not get involved. But does not the history stand against evidence to the fact that almost all of the people who were involved in the freedom struggle were from ‘good’ families. During the freedom struggle it was a prestige to be involved politics, but what has changed in the years in between so that the roles are reversed. What the education has succeeded in doing in India, is to dissociate the learned elite from the actual political situation in the country. Is this not the state at work?
Rival Histories
Now we come to the main part of this work, the rival histories that the school children of the two countries are being presented with in the schools. The words and events which have a common meaning in one country have totally different in the other. The very word freedom has different meaning for both the countries, India ‘woken up,’ whereas Pakistan was ‘born.’ Here again I would like to borrow an idea from the philosophy of science; Kuhn’s idea of incommensurability. The basic idea is that different theories or paradigms can be hard or impossible to compare, in a properly unbiased way. Thus when we see the different events in modern history, in the two different paradigms of the two states, they no wonder appear to be entirely different. To say that one version is correct and another a distorted version of it, is to loose the whole point so what is being said here.
The memory of the struggle with the British has great memory for both of the newly born nation states of India and Pakistan. The emergence of the national identity forms a central theme in the histories of both the nations. For the consolidation of the nation state, this memory needs to be preserved and passed on to the next generation. Only then the nation state will be successful, otherwise be in demise. Thus the state itself works towards its own growth and welfare, just as The Party in 1984. This is done for the respective nations by recasting the record of their freedom struggle into a narrative for the young.
Hence we
have two prototypes of the same event, one which serves the interest of each nation state. Thus were born the two ‘master narratives’ for the two nation states. But the question is, should they be the same? In both the states the school historians take the ‘national’ and ‘approved’ stance on the past.
So what is the framework in which this evaluation is done in? In this work, three themes have been explored in the context of the material presented in the textbooks of the two nations.
  1. Politics of mention: By politics of mention it is meant the decision to include or exclude a particular name or event in the discourse of history. This in turn is directly influenced by larger process of identity building.
  2. Pacing of the end:Both the systems have a different pacing towards the end of the struggle. The aspect of story telling having many linkages to the politics involved, but it also has to do with nature of educational system, how it treats knowledge as a body of fact. More attention is given to the individual facts, rather than to the connections between them. Also there is a rapid movement between events, without ascertaining the causal relationships if any between the end.
  3. Conception of the end: Both the narratives come to a stop in 1947. The end point is conceptualized very differently in the two master narratives. For the Indian master narrative the freedom and partition is seen as a great achievement, along with terrible sense loss and sadness, and a sense of failure to subvert a conspiracy is embedded. Whereas in case of  Pakistan it is seen as a remarkable achievement, which is somewhat mitigated by a sense of injustice. For the Indian master narrative the history starts in ancient times and comes to an end in 1947. And in case of Pakistan, the ‘end’ marks formal beginning of the nation state called Pakistan. In fact the history of Pakistan starts from 1947.
Blurred Divergences
With the given animosity present between the two countries we would expect that the histories present in the textbooks would be mirror images of each other. But this is not the case, the two narratives are related but in a highly complex manner. Both the narratives follow a path which see to it that the events and persons mentioned the master plan of each. It is not that eminent personalities are portrayed as villians in the other history. Both focus on ‘high’ politics rather than social dynamics; decisions taken by eminent leaders and British administrators. The freedom struggle is treated as an allegory, composed for the purpose of reminding the young that they are inheritors of great storehouse values. One of the epistemological difference between the two versions is that the Pakistani version focuses more on ‘how’ was freedom achieved and the Indian narrative focuses on ‘why’ it had to take the form it did.
A Beginning Located
So what is the starting point in both the master narratives? Both the master narratives take the Rebellion of 1857 as a starting point of the route to freedom, which ends in 1947. The textbooks of both sides convey the impression that rebels were inspired by a dream of national independence. But the words such as ‘national’ or ‘nationalist’ are not qualified and are not cautioned against. The very fact that these notions do not apply in that era as they apply now is seem to have been forgotten by the writers on both the sides.  So we come to a question of whether there was there any ‘nationalism’ in the revolt of 1857? Most of the Indian writers answer this question positively, and see the revolt as the ‘first war of Indian independence.’ As of now there is not any clear consensus on the issue. One of the ironies that the revolt presents is that of the so called ‘rebels’ and the ‘educated Indians.’ Whereas the rebels are presented to be against the British, the reasons cited are political and religious, whereas the various religious and social reformers who were contemporaries of the same rebels are presented in an entirely different light. What is forgotten that the very reformers which have supposed to lay the seeds of the social enlightenment in India were very supporters of the British rule.


 Children [and I guess even most adults] are not allowed to realize that events of 1857 look remarkably different from different perspectives. In the Pakistani textbooks the events of 1857 have to be placed as the formal beginning of the master narrative. 1857 is seen as an attempt by the Muslim rulers to throw away the British rule and re-establish Mughal rule; attention is brought to the fact that Muslims as a community were willing to fight for rights and status. So who according to the narratives are the heroes of 1857? The Indian narrative answers in plural as
Mangal Pandey, Rani of Jhansi, Tatya Tope, Bahadur Shah Zafar, Nana Saheb. But in case of the Pakistani texts the discussion of 1857 is not elaborated much. For any elaborate discussion on 1857 would show that Muslims and Hindus were capable of fighting as an unified force, and this would certainly not fit in the master narrative of Pakistan. For Pakistani writers any pedagogic narrative should serve a dual role; it should describe how the colonial rule ended and should also explain how Pakistan came into being. So this represents a problem for the writers of ‘Pakistan Studies.’ The other dilemma is in the structure of the narrative itself. One of the key figures in the start of the Pakistani master narrative is Sir Sayyid Ahmad Khan, who is presented as a ”great hero” and sided with the British during 1857. So how will Pakistani writer solve a dilemma like this:
 If it is a war of independence waged by the Muslims against the hated British foreigner, how can Sir Sayyid Ahmad Khan, who sided with the British and condemned the native rising be presented to the students as “great hero” and “the greatest thinker of Pakistan?”
So what do we make of this?  The events in 1857 can be seen as a last convulsive movement of protest against the coming of west on the part of traditional India. Though the revolt did have great influence on the subsequent struggle, it is hard to say that it was in any logical way connected to this struggle. In both the narratives the scale of the violence that took place in the revolt remains vague. Why should be this so? This is an unanswered question.
 Both in character and content the topic of national character contrasts sharply with the revolt of 1857. The textbooks even at the lower classes attempt to convey to children a notion of the reform movements; terms like ‘tradition’, ‘progress’, and ‘reform’. But how much of this the children are cognitively capable of learning is a question. I guess even how many adults can understand these notions. For the Pakistani writers the aim is to impart the ability to ‘understand the Hindu and Muslim differences and the resultant need for Pakistan’. Whereas for the Indian writers the idea of secularism has to take root in the nineteenth century reformers. Hence they are said to be ‘deeply influenced by the ideas of rationalism and humanism and of human equality’.

We now take a look at the presentation of Sir Sayyid Ahmad Khan in the two narratives. In the Pakistani master narrative he is the key figure post 1857 and most of the attention is on the Aligarh movement. The foundations of the Pakistani Master Narrative are established in this era. The categories ‘Hindus’ and ‘Muslims’ are constructed, with some stereotypes accommodating the master narrative. The ‘Hindus’ are given certain essential unalienable properties which are supposed to the part of their nature. They are supposed to be cruel, manipulative, unreliable.
The idea that there was a tacit understanding between the Hindus and British to undermine and rule the Muslims runs through the master narrative. Thus Muslims are seen as the oppressed lot who rose for themselves to create a separate state. Sayyid Ahmad Khan is presented in Pakistani textbooks as solitary person ahead of times; a great leader and a visionary and most importantly who introduced the idea of two nation theory. Though he is verbalized as a great man; he is a as a tool to stigmatize Congress. The connotations that Congress has are that it was a pure Hindu body, and it is used to stereotype Hindus as selfish and sectarian people.
In the Indian narrative on the other hand Sir Sayyid Ahmad Khan he is just one of the many reformers that are present during that era. Three major themes of his work are covered in the the textbooks of both sides. They are:
  1. Conciliatory view of the British.
  2. Caution against representative democracy and Congress.
  3.  Institutional work to promote Western Education among the Muslims.
But only the last one is emphasized in the Indian textbooks, so that he becomes just one of many. The special status that is awarded to him in the Pakistani context is absent in the Indian context.
Tools that are required to read into the cultural awakening are not presented to the students. Even if somebody wants to understand the meaning of the terms involved there is no potion but to memorize.
When one reads the texts the unfortunate impression is given that Congress was set up in one day, with clear cut aim for the liberation of India from the British rule. Just as the anti-Hindu sentiments run throughout the Pakistani master narrative, the idea of ‘Divide and Rule’ by the British runs throughout the Indian master narrative. The partition of Bengal on the religious lines is an example of this. But in the Pakistani master narrative Jinnah’s participation in the Congress during the Bengal movement period is suppressed in the Pakistani texts as it does not fit their master narrative, in which Congress is a purely Hindu body and primarily anti-Muslim.
The formation of Muslim league is presented as if it was a natural outcome of the conditions present then. Since the Congress was a purely Hindu body, the Muslims were left with no political organization of their own. So to make the voice of the Muslims to be heard the formation of a Muslim political organization was the only alternative left. The Muslim League was formed as a result. The Muslim League thus steps out of history assuming the status of quasi-divine mechanism that Muslims of India always needed. The formation of the Muslim League is presented as culmination of social and political awakening of the Muslims. On the other hand in the Indian textbooks the creation of the Muslim League is seen as another version of the ‘Divide and Rule’ policy of the British. Thus we see that how one event viz. the formation of the Muslim League ‘fits’ properly in both the master narratives, which have their own agenda of reaching the summit in 1947.
Unity and Breakup [1916-1922]
Even though there were basic ideological differences present in the view points of Congress and the League some sort of communal harmony was present during the events leading to the Khilafat and the Non-Cooperation Movements. So we see now this era of harmony between the two political parties is portrayed in the two textbooks. It is at this juncture that Gandhi enters the political scene in the Indian narrative. As he became the leader of the national movement, the movement is transformed. The transformation of the movement was in terms of the class and the region of the people participating in the movement. Thus the movement became a mass movement due to arrival of Gandhi, and he is seen as a hero in the Indian context. Contrastingly in the Pakistani texts Gandhi is characterized as a ‘Hindu leader.’ The significance of Gandhi’s entry into politics is reduced significantly. The very fact that during this period the freedom of Pakistan depended so much on the freedom of India is oblivious to the writers [and hence to the readers] in Pakistan.
The Khilafat Movement
In the Indian context the Khilafat movement marks the high point of Hindu-Muslim unity. This incidence is always seen in a secular light, hence the triumph of secularism is seen as a guiding value of national movement. The Khilafat movement is to be seen as ‘golden opportunity for cementing Hindu-Muslim unity and bringing the Muslim masses into national movement‘.  On the other hand for Pakistani writers Khilafat along with Hijrat, is remarkable for the fact that Hindus and Muslims worked jointly for their success, but this could not continue because of `the hostile attitude of the Hindus toward Muslims became evident.‘ Also the idea of anti-Muslim sentiment runs throughout the narrative. This statement reveals this idea; `It is obvious that no Hindu could be seriously concerned with whether Khilafat was to survive or not.’ In the Pakistani texts the  Jinnah’s opposition to Khilafat movement is suppressed, as this would not fit the master narrative in the light of the later events. Maybe somebody should raise a question:  How can Quaid-e-Azam oppose the Khilafat movement which was so dear to the Muslims?
As far as the Pakistani narrative is concerned Gandhi is presented as a shrewd character who used the Khilafat movement for attaining his goals. The fact that Gandhi called off the Movement after the Chauri-Chaura incident is portrayed as a decisive moment in Muslims organizing themselves instead of looking for allies. Whereas in the Indian context Gandhi’s role is unique and has three broad dimensions:
  1. A mass leader.
  2. An imaginative strategist.
  3. A social reformer.
Gandhi is the superman of Indian politics, he can do no wrong. The status that Gandhi achieved remains a mystery, so do the reasons for choices he made. There is no way the readers can understand the political games that were played, in the era, as only facts without much interpretation is presented. As far as Gandhi is concerned in the Indian narrative, politician in him is left out; only Mahatma remains. One of the basic premise of Gandhian thought that substituted the value of loyalty to state by self imposed structure of moral behavior is not discussed. The withdrawal of the Non-cooperation gives us the side of Gandhi as a whimsical leader; the explanation. The instinct in the Indian master narrative is to present secularism as an innate value of Indian nationalist movement. This allows the Indian writers to present demand for Pakistan later as sudden and ahistorical an act of manoeuvre on the part of Jinnah and the British, which is seen as a part of the ‘Divide and Rule’ policy of the British empire.
After the mid 1920s after the withdrawal of the Khilafat movement the writers with difficult years to dwell on.   For the Indian narrative there are no dramatic events in this period. There was a lot of communal violence that took place during this period, which is ignored by both the sides. As the Pakistani narrative dwells on the characterization of the people on religious lines viz. Hindus and Muslims, the Indian narrative calls for characterization in terms of  ‘nationalist’ and ‘communalist’. The young are trained to regard ‘nationalism’ and ‘communalism’ as antonyms.Nationalist as ones who fought on behalf of all Indians; communalist as one who fought for their own communities.
Why is this done? Why is the violence sidelined in both the narratives? One of the basic argument given in this favor of is that children should not be exposed to violence. But is this a valid argument? The reason for not exposing the children perhaps lies in the nature of nation building role which schools and history textbooks are supposed to perform. This role demands filtering out of the record of communal violence from the narrative of the national movement to whatever extent possible. Why should be this so?
 In the Pakistani texts a key difference that is evident is in the portrayal of Congress. Congress is portrayed  as a single, cohesive, Hindu body, without any internal differences. The Hindu Mahasabha, which was the right wing political party of the Hindus is politically and ideologically merged with the Congress. This is done so that a Hindu Congress can be well targeted in the Pakistani master narrative.
The Nehru Report
The report prepared by Motilal Nehru, known as the Nehru report is passingly mentioned in the Indian textbooks. But this report is one of the milestones in the history of Pakistan. From what is found that in the earlier episodes of history there is a difference of perspectives and approach in the two master narratives, but in this case there is a total disagreement. This is seen as the last straw of Congress-Muslim relationship. Jinnah presented his fourteen point program in response to this report. Whereas this response by Jinnah is hailed by Pakistani texts, as a step towards the reality of a Muslim nation, in the Indian texts this response is seen as ‘communal’ in character. In fact in the Indian texts there is a tacit policy to give no significance to organized Muslim response at the  secondary level. To regard such demands as purely communal in nature, and to hold such ‘communal’ demands in sharp contrast to ‘national’ demands is to equal to thinking ahistorically. Then in such a framework of  ‘communal’ and ‘national’ where does the support that Khilafat movement got [which was purely religious] fit in? Clearly the Indian textbook writers are missing the point here. How can one movement be ‘communal’ and the other be ‘national’? This clearly shows it as attempt to evaluate a given event with variable standards so as to ‘fit’ the master narrative.
After the 1930s the common points of reference between the two narratives become scarce, and they diverge rapidly. The two narratives employ different persons and events which lead to the desired end. The Indian narrative becomes vary fast in this case, whereas the Pakistani one becomes very slow detailing events that lead to the formation of Pakistani nation state. At this point  how and why make the crucial difference between the orientations of the narratives.  After the naming of Pakistan occurred, Pakistani account finds adequate reasons to under emphasize or altogether ignore even major events afterwards. On the other hand in the Indian narrative the task is to celebrate the struggle and the triumph of the ‘secular’ inspiration; due to this political struggle of religious and other separatists is forgotten. Even the mention of the names of important separatists like Subhas Bose are passingly mentioned.
Since the ‘communal’ activities increased in the last decade, Indian historians have to race through this decade. But in the Pakistani narrative this is the decade worth discussing. In this decade the Indian textbooks mainly concentrate on the civil disobedience movement. And the discussion usually starts with Gandhi’s Dandi march. But the issues and conditions under which this act was done remain mysterious. What exactly Gandhi hoped to achieve by this and why did he do it are unanswered questions. What is presented in the texts is just the factual information about the march without explaining the deeper meaning associated with it. Most of the Indian texts suppress the fact that civil disobedience did not attract the Muslim participation. Also worth noticing is the fact that reference to the Round Table Conferences and  Poona Pact are meagre. The Indian historians looking at the events in the decade with a secular lens, fail to even mention the communal divide amongst the various sections in India. The reader is thus left unaware of the gravity of the communal problem present during this time. Still the image of all Indians, regardless of their religions, fighting against the British rule runs through the narrative. This creates an epistemic shock when demand for a separate Muslim state is made in the 1940s and the demand seems unjustified and ad hoc.
In Pakistani texts the three main things that, have a different focus than the Indian texts are.
  1. Focus on Iqbal’s Allahabad speech.
  2. Lack of emphasis on Civil Disobedience.
  3. Importance given to all three round table conferences.
And the key issue for the Pakistani texts remains the Congress’s refusal to acknowledge the minority problem. This struggle is presented in many texts as the struggle between the Father of Nation on the Indian side and Quaid-e-Azam on the other:
Gandhi insisted that there was only one nation India which were Hindus. But Quaid-e-Azam replied that Indian Muslims were also a separate nation of India which had its own interests.

Thus we see that the facts are once again presented in a way so as to fit the master narratives, leaving out the things that do not fit in, emphasizing only the aspects that do fit in the narrative.
The Government of India Act [1935]
Texts of both the countries mention the main provisions of this Act, in which regional governments were setup, in the different provinces, with the majority being in the hands of Congress. In the Indian texts little is said about the Congress being in power; the era presents no inspiring events for the reader. In the Pakistani texts the results of the election are portrayed as a shock to the League, and which saw a gloomy future for the Muslims if a democracy is setup in India. The Muslims due to smaller numbers will have no say in the government so formed democratically. This brought the Muslim league to the ground reality,  also led the transformation of Jinnah from idealist to political realist.
During this era the Congress governments did some works, which is very sketchily or not mentioned at all. One of the works that Congress governments introduced was the Gandhi’s Wardha scheme for educational reforms. This is not mentioned or elaborated in the Indian texts. But contrastingly in the Pakistani texts this is one of key issues to be discussed. But why should just some educational reforms, that too at the school level should be worth discussing, when other major events are not discussed?
One of the key features of the Gandhi’s Wardha Scheme was the use of child’s mother tongue as a medim of instruction. Particularly in the United Provinces this meant that  the traditional education in urdu to be replaced by that one in hindi. This scheme was seen as an alternative to bookish education. But in the implementation of the scheme many things happened which no body anticipated. The song of vande mataram was supposed to be sung by all school children, which is considered as anti-muslim in nature. Also in every school portraits of Gandhi were placed, which further made muslims irate. And finally the school were to be called vidya mandirs which means a temple of education, but this was very provocative for the muslims. The Muslims saw this scheme as a means to destroy their religion, by aiming at their children. Thus if the children are targeted and taken away from Islam, there would be no next generation of Muslims left in the country. This was a grand plot eliminate muslims forever. The interesting point to be noted is that, Gandhi had deliberately left out religious instructions in this scheme. But the things went the other way.
The contrast between the two texts sharpens as we enter the last phase of the struggle. Quit India movement is the major event in the early 1940s in the Indian narrative, whereas Lahore resolution is the major event in the Pakistani master narrative. The Quit India movement gives the Indian school historian a perfect material to dwell upon and write about in the master narrative. All the key elements of the narrative are present: adventure, heroism, moral struggle and determination. The movement is portrayed as the ultimate patriotic adventure with no trace of politics. The INA follows the Quit India and maybe seen as a continuation of the same. The differences between Subhas Bose and Gandhi are not highlighted. In case of the Pakistani master narrative Lahore resolution is the master narrative, whereas Quit India presented as detached, uninspiring story. The Muslim League is shown to have attained clarity and cohesiveness due to its bitter experience with Congress. The fact that League would push for independence not only from the British but also from Hindus, is seen as unavoidable.  The Pakistani authors appear to be gripped at this juncture by the urge to trace and retrace the familiar record of past references to Hindu-Muslim differences and the idea of partition. The names like Lajpat Rai and Savarkar appear along with Syed Ahmad Khan and Iqbal in context of the idea of partition. Here the Congress is represented as a cohesive Hindu body aimed at destroying the Muslims.
The Cabinet Mission is mentioned, which was supposed to but what it meant or why it failed is hardly explained. The Congress-League relations in this era are not emphasized, while the Cabinet Mission plan is trivialized. In the Indian texts the structuring is around the anxiety to explain why the congress accepted partition. A feeling is created that partition was not completely inevitable but was allowed to take place. Now since the secular nationalism is a superior force, its proponents accepting proposal of division based on religious lines calls for an explanation. A distinction is made between the ‘acceptance’ of an impending course of events and the ‘acceptance’ of the inspiration that this impending course of events was based on. The second part consists of mitigating the scale of success which morally inferior idea of communalism achieved by forcing Partition. ‘The Nationalist leaders agreed to Partition of India in order to avoid the large scale blood bath that the communal riots threatened. But they did not accept the two nation theory.’ Thus Partition is seen as an outcome of circumstances, not as the failure of Congress’s ideology.
In the Pakistani narrative this is the peak of the narrative, the accomplishment of Partition is ascribed to Jinnah. Jinnah is portrayed as semi-divine visionary who succeeded against all odds in getting what he wanted. But the irony about the portrayal of the freedom struggle is that instead of its portrayal as inevitable destiny, it is a product of political happenings. The Muslim League is ascribed the intention of not letting the Congress gets it way, despite the backing of British. Thus we find in both the narratives the British being targeted as being the conspirators with the ‘other.’ A deep mistrust of the ‘other’ along with the British is present in both the narratives.
Here again one finds that the violence and the human tragedies that followed after the partition is not elaborated at all. It does not find more than a few lines in both the master narratives. As with the violence of 1857 the violence and bloodshed is underplayed. There can be three reasons which can be said about why violence is so under represented in both the texts.
  1. Partition is merely one of the topics that has to be covered.
  2. Sanitization of the freedom struggle.
  3. History as presently conceptualized, is incapable of dealing with the violence and suffering.
Some Reflections

We see that the histories of India and Pakistan as represented in their school textbooks have a relation that is far away from simple. The two narratives are related in a complicated way, to understand which it is hard for us as members of the Indian sub-continent to come above and see. It would be very hard for people like us to realize that the history that has been presented to us is ‘biased’ in a way so as to fit the ‘accepted’ or the state approved version of the history. But to have this realization is hard and once you have it it is still harder to let it go. You then tend to ‘see’ every thing with suspicion, with a feeling that you are being indoctrinated into something by someone who is invisible. Then the conspiracy theories are abound. But this realization must come from within, it is hard to come from without.

As for the Indian and Pakistani narratives, I have found a nice analogy which fits both the narratives. If we visualize the path from 1857 to 1945 as a path leading to a mountain summit, we can easily accommodate both of the master narratives nicely. Thus we have the events of 1857 as the starting point from where both the narratives diverge, the paths of the summit are different. Towards the summit the paths take different turns and different events happen in each of the expedition. Some of these events are seen by the people who have taken the ‘other’ path some of them are not. So in a log of the two expeditions which are our master narratives the politics of mention is thus taken into account. Each expedition encounters in their route something that the ‘other’ does not. As for the final summit, when they reach there in 1947, the members of the expedition look past each other and they are looking in different directions as, we see the idea of freedom is different in both the countries.  Partition signifies end of history in India; in Pakistan it signifies birth.

Reference:
 Krishna Kumar
Prejudice and Pride
2003, Penguin
PS: For a very dramatic account of the events leading to the freedom of India and Pakistan, and the violence that followed afterwards I would recommend
Freedom at Midnight by Larry Collins and Dominique Lapierre. Also for the events of 1857, fictional but highly readable account is Manohar Malgaonkar’s The Devil’s Wind.