Proofs and Models in Philosophical Logic Restall Greg
This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rule… Celý popis ↓
Porovnanie cien Proofs and Models in Philosophical Logic Restall Greg
Popis Proofs and Models in Philosophical Logic Restall Greg
Proofs and Models in Philosophical Logic Restall Greg
This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rules of contraction, cut and identity feature in paradoxical derivations. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logic, a range of three-valued and four-valued logics, and substructural logics.
The Element closes with a discussion of the relationship between proofs and It then introduces model theoretic treatments of the paradoxes, including a simple fixed-point model construction which generates three-valued models for theories of truth, which can provide models for a range of different non-classical logics.
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