The Metaphysics of Logical Consequence

Alexandra Zinke

doi:10.5771/9783465143451

Summary

The book discusses the central notion of logic: the concept of logical consequence. It shows that the classical definition of consequence as truth preservation in all models must be restricted to all admissible models. The challenge for the philosophy of logic is therefore to supplement the definition with a criterion for admissible models. The problem of logical constants, so prominent in the current debate, constitutes but a special case of this much more general demarcation problem. The book explores the various dimensions of the problem of admissible models and argues that standard responses are unwarranted. As a result, it develops a new vision of logic, suggesting in particular that logic is deeply imbued with metaphysics.

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Bibliographic data

Copyright year: 2018
ISBN-Print: 978-3-465-04345-4
ISBN-Online: 978-3-465-14345-1
Publisher: Klostermann, Frankfurt am Main
Series: Studies in Theoretical Philosophy
Volume: 6
Language: English
Pages: 186
Product type: Book Titles

Titelei/Inhaltsverzeichnis No access Pages I - X
Introduction No access Pages 1 - 14
1. 1.1 Tarski´s Definition No access
2. 1.2 The Model-Theoretic Definition No access
1. 2.1 An Alternative Semantic Theory: Form-Logical Semantics No access
2. 2.2 Definitions of Logical Consequence and Logical Truth No access
1. 3.1 Grammatical Restrictions No access
2. 3.2 Structural Restrictions No access
1. 4.1 Identity Restrictions No access
2. 4.2 Hesperus and Phosphorus No access
3. 4.3 Semantic Restrictions No access
1. 5.1 Metaphysical Presuppositions No access
2. 5.2 Etchemendy´s Critique No access
3. 5.3 Modal Restrictions No access
1. 6.1 Schematic Formality No access
2. 6.2 Restrictions in Formal Languages No access
1. 7.1 The Problem of Logical Objects No access
2. 7.2 Restrictions on States No access
1. 8.1 The Criterion of Permutation Invariance No access
2. 8.2 Counter Examples No access
1. 9.1 Permutation Invariance Reinterpreted No access
2. 9.2 Metalanguage No access
Concluding Remarks No access Pages 171 - 174
Bibliography No access Pages 175 - 184
Index of Names No access Pages 185 - 186