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Logical Consequence
Paperback
Series: Elements in Philosophy and Logic
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ISBN10: 1108986846
ISBN13: 9781108986847
Publisher: Cambridge University Press
Published: Sep 8 2022
Pages: 100
Weight: 0.32
Height: 0.21 Width: 6.00 Depth: 9.00
Language: English
ISBN13: 9781108986847
Publisher: Cambridge University Press
Published: Sep 8 2022
Pages: 100
Weight: 0.32
Height: 0.21 Width: 6.00 Depth: 9.00
Language: English
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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