The Bounds of Logic: A Generalized Viewpoint

MIT Press (1991)
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Abstract

The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. Her development of the notion of logicality for quantifiers and her work on branching are of great importance for linguistics. Sher outlines the boundaries of the new logic and points out some of the philosophical ramifications of the new view of logic for such issues as the logicist thesis, ontological commitment, the role of mathematics in logic, and the metaphysical underpinning of logic. She proposes a constructive definition of logical terms, reexamines and extends the notion of branching quantification, and discusses various linguistic issues and applications.

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Gila Sher
University of California, San Diego

Citations of this work

Frege, Kant, and the logic in logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
Generics and the structure of the mind.Sarah-Jane Leslie - 2007 - Philosophical Perspectives 21 (1):375–403.
Interpreted Logical Forms.Richard K. Larson & Peter Ludlow - 1993 - Synthese 95 (3):305 - 355.
The universal density of measurement.Danny Fox & Martin Hackl - 2006 - Linguistics and Philosophy 29 (5):537 - 586.

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