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arXiv · 1710.07704

Predicativity and parametric polymorphism of Brouwerian implication

Mark van Atten
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Abstract

A common objection to the definition of intuitionistic implication in the Proof Interpretation is that it is impredicative. I discuss the history of that objection, argue that in Brouwer's writings predicativity of implication is ensured through parametric polymorphism of functions on species, and compare this construal with the alternative approaches to predicative implication of Goodman, Dummett, Prawitz, and Martin-L\"of.

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Mark van Atten. 2017-10-19. Predicativity and parametric polymorphism of Brouwerian implication. https://arxiv.org/abs/1710.07704

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