Mind 125 (499):727-757 (2016)

Bogdan Dicher
Universidade de Lisboa
In this paper I offer a proof-theoretic defence of meaning-invariant logical pluralism. I argue that there is a relation of co-determination between the operational and structural aspects of a logic. As a result, some features of the consequence relation are induced by the connectives. I propose that a connective is defined by those rules which are conservative and unique, while at the same time expressing only connective-induced structural information. This is the key to stabilizing the meaning of the connectives across multiple determinations of the consequence relation.
Keywords Logical pluralism  Proof theory  Logical constants  Meaning invariance
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DOI 10.1093/mind/fzv214
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