CONTRACTIONS OF NONCONTRACTIVE CONSEQUENCE RELATIONS

Author:

FRENCH ROHAN,RIPLEY DAVID

Abstract

AbstractSome theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relative of multiplicative-additive affine logic with transparent truth, or maalt.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy,Mathematics (miscellaneous)

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1. Backmatter;Paradoxes and Inconsistent Mathematics;2021-10-21

2. Index;Paradoxes and Inconsistent Mathematics;2021-10-21

3. Bibliography;Paradoxes and Inconsistent Mathematics;2021-10-21

4. Ordinary Paradox;Paradoxes and Inconsistent Mathematics;2021-10-21

5. Why Are There Paradoxes?;Paradoxes and Inconsistent Mathematics;2021-10-21

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