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Title of Journal: Axiomathes

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Abbravation: Axiomathes

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Springer Netherlands

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1572-8390

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On the Exhaustion of Mathematical Entities by Stru

Authors: Adrian Heathcote
Publish Date: 2013/10/04
Volume: 24, Issue: 2, Pages: 167-180
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Abstract

There has been considerable discussion in the literature of one kind of identity problem that mathematical structuralism faces the automorphism problem in which the structure is unable to individuate the mathematical entities in its domain Shapiro Philos Math 163285–309 2008 has partly responded to these concerns But I argue here that the theory faces an even more serious kind of identity problem which the theory can’t overcome staying within its remit I give two examples to make the point

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  2. Foreword
  3. The Intentionality of Sensation and the Problem of Classification of Philosophical Sciences in Brentano’s empirical Psychology
  4. Eternalist Theories of Persistence Through Time: Where the Differences Really Lie
  5. Science Generates Limit Paradoxes
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