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The Irreflexivity Of Brouwer's Philosophy

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Abstract

I argue that Brouwer's general philosophy cannot accountfor itself, and, a fortiori, cannot lend justification tomathematical principles derived from it. Thus it cannot groundintuitionism, the jobBrouwer had intended it to do. The strategy is to ask whetherthat philosophy actually allows for the kind of knowledge thatsuch an account of itself would amount to.

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van Atten, M. The Irreflexivity Of Brouwer's Philosophy. Axiomathes 13, 65–77 (2002). https://doi.org/10.1023/A:1016543822708

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