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Varieties of Logic
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Varieties of Logic

Stewart Shapiro

Abstract

This book challenges a longstanding view that logic is absolutely general, and topic neutral, by developing several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like “valid” and “logical consequence” are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away some raging “debates” in the literature, such as that between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between advocates of higher-order logic and those who ... More

Keywords: logic, pluralism, relativism, contextualism, validity, logical consequence, inferentialism, model theory, meaning, foundations

Bibliographic Information

Print publication date: 2014 Print ISBN-13: 9780199696529
Published to Oxford Scholarship Online: September 2014 DOI:10.1093/acprof:oso/9780199696529.001.0001

Authors

Affiliations are at time of print publication.

Stewart Shapiro, author
Ohio State University