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arXiv · 1201.6272

Constructivist and Structuralist Foundations: Bishop's and Lawvere's Theories of Sets

Erik Palmgren
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Abstract

Bishop's informal set theory is briefly discussed and compared to Lawvere's Elementary Theory of the Category of Sets (ETCS). We then present a constructive and predicative version of ETCS, whose standard model is based on the constructive type theory of Martin-Löf. The theory, CETCS, provides a structuralist foundation for constructive mathematics in the style of Bishop.

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Erik Palmgren. 2012-01-30. Constructivist and Structuralist Foundations: Bishop's and Lawvere's Theories of Sets. https://arxiv.org/abs/1201.6272

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