Tymoczko on the Epistemology of Mathematics

Ilkka Pättiniemi Lately, as one does, I have been reading up on the philosophy, and especially epistemology of mathematics. In doing so, I chanced upon the great, late philosopher of mathematics, Thomas Tymoczko. In his paper “Computers, Proofs and Mathematicians: A Philosophical Investigation of the Four-Color Proof” (1980) Tymoczko gives five very sensible criteria forContinue reading “Tymoczko on the Epistemology of Mathematics”

The Unreasonable Effectiveness of Natural Language

Ilkka Pättiniemi In his classic paper “The Unreasonable Effectiveness of Mathematics in the Natural Sciences” (1960), Eugene Wigner tells a story of two friends meeting after a long while. One of them has become a statistician working in population trends. He shows a reprint of his recent paper to his friend, who, upon seeing aContinue reading “The Unreasonable Effectiveness of Natural Language”

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