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Logic and Algebraic Structures in Quantum Computing by Valentina Harizanov, Ali Eskandarian, Jennifer Chubb

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COULD LOGIC BE EMPIRICAL? THE PUTNAM-KRIPKE DEBATE

ALLEN STAIRS

Abstract. Not long after Hilary Putnam published “Is Logic Empirical,” Saul Kripke presented a critique of Putnam’s argument in a lecture at the University of Pittsburgh. Kripke criticized both the substance of Putnam’s version of quantum logic and the idea that one could “adopt” a logic for empirical reasons. This paper reviews the debate between Putnam and Kripke. It suggests the possibility of a “middle way” between Putnam and Kripke: a way in which logic could be broadly a priori but in which empirical considerations could still bear on our views about the logical structure of the world. In particular, considerations drawn from quantum mechanics might provide an example.

Some ...

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