Mathematicians regarding

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  • This work develops and defends a structural view of the nature of mathematics, which is used to explain a number of striking features of mathematics that have puzzled philosophers for centuries. It rejects the most widely held philosophical view of mathematics (Platonism), according to which mathematics is a science dealing with mathematical objects such as sets and numbers—objects which are believed not to exist in the physical world.

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  • Often we mathematicians are inarticulate when challenged to explain why mathematics is such a critical aspect of K - 12 education today. We know it is, but are so involved in the subject that we have not looked at the broader perspective of the way in which mathematics actually interacts with today’s society. So what follows are some observations that may well be useful in this regard.

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  • “The study of economics does not seem to require any specialized gifts of an unusually high order. Is it not, intellectually regarded, a very easy subject compared with the higher branches of philosophy or pure science? Yet good, or even competent, economists are the rarest of birds. An easy subject, at which few excel! The paradox finds its explanation, perhaps, in that the master-economist must possess a rare combination of gifts. He must reach a high standard in several different directions and must combine talents not often found together.

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