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Metaphors for Mathematics and Philosophical Problems

수학에 대한 은유와 철학적 문제들

2017
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Journal for History of Mathematics
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수학에 대한 은유와 철학적 문제들

The goal of this essay is to examine metaphors for mathematics and to discuss philosophical problems related to them. Two metaphors for mathematics are well known. One is a tree and the other is a building. The former was proposed by Pasch, and the latter by Hilbert. The difference between these metaphors comes from different philosophies. Pasch's philosophy is a combination of empiricism and deductivism, and Hilbert's is formalism whose final task is to prove the consistency of mathematics. In

doi:10.14477/jhm.2017.30.4.247
fatcat:ywori4on6zgu3pffqrc26irkme