Tag Archives: polya

The logician, the mathematician, the physicist, and the engineer

The logician, the mathematician, the physicist, and the engineer. “Look at this mathematician,” said the logician. “He observes that the first ninety-nine numbers are less than hundred and infers hence, by what he calls induction, that all numbers are less … Continue reading

Posted in mathematics, mathematics education, quotes | Tagged , , , , , , , , , , | Leave a comment

On mathematics

Mathematics is regarded as a demonstrative science. Yet this is only one of its aspects. Finished mathematics presented in a finished form appears as purely demonstrative, consisting of proofs only. Yet mathematics in the making resembles any other human knowledge … Continue reading

Posted in education, logic, mathematics, mathematics education, quotes | Tagged , , , , , | Leave a comment