Download E-books Advances in Proof-Theoretic Semantics PDF

By Thomas Piecha, Peter Schroeder-Heister

This quantity is the 1st ever assortment dedicated to the sector of proof-theoretic semantics. Contributions deal with issues together with the systematics of creation and removing ideas and proofs of normalization, the categorial characterization of deductions, the relation among Heyting's and Gentzen's techniques to that means, knowability paradoxes, proof-theoretic foundations of set thought, Dummett's justification of logical legislation, Kreisel's idea of buildings, paradoxical reasoning, and the defence of version theory.

The box of proof-theoretic semantics has existed for nearly 50 years, however the time period itself used to be proposed through Schroeder-Heister within the Nineteen Eighties. Proof-theoretic semantics explains the which means of linguistic expressions regularly and of logical constants specifically by way of the suggestion of facts. This quantity emerges from shows on the moment overseas convention on Proof-Theoretic Semantics in Tübingen in 2013, the place contributing authors have been requested to supply a self-contained description and research of an important study query during this quarter. The contributions are consultant of the sphere and will be of curiosity to logicians, philosophers, and mathematicians alike.

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