Abstract

Henri Poincare and Hermann Weyl are two of the mathematicians in the period from the 1890s to the 1930s who thought most deeply about the philosophy of mathematics and the relationship of mathematics to philosophy. They were also, as is well known, two of the most gifted mathematicians of their time who worked creatively in the fields of both mathematics and mathematical physics. This led them to deep, and conflicting, reflections on several topics that are discussed in this essay.

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