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portada Logical Consequence (Elements in Philosophy and Logic)
Type
Physical Book
Author
Publisher
Year
2022
Language
English
Pages
100
Format
Paperback
Dimensions
22.9x15.2x0.5 cm
Weight
0.15 kg.
ISBN13
9781108986847
Categories

Logical Consequence (Elements in Philosophy and Logic)

Gila Sher (Author) · Cambridge University Press · Paperback

Logical Consequence (Elements in Philosophy and Logic) - Sher, Gila

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Synopsis "Logical Consequence (Elements in Philosophy and Logic) "

To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include: (i) the passage from Tarski's definition of truth (simpliciter) to his definition of logical consequence, (ii) the need for a non-proof-theoretic definition, (iii) the idea of a semantic definition, (iv) the adequacy conditions of preservation of truth, formality, and necessity, (v) the nature, structure, and totality of models, (vi) the logicality problem that threatens the definition of logical consequence (the problem of logical constants), (vii) a general solution to the logicality, formality, and necessity problems/challenges, based on the isomorphism-invariance criterion of logicality, (viii) philosophical background and justification of the isomorphism-invariance criterion, and (ix) major criticisms of the semantic definition and the isomorphism-invariance criterion.

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