Logic and how it gets that way

Logic and how it gets that way / Dale Jacquette.

In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing s...

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Bibliographic Details
Main Author: Jacquette, Dale
Format: eBook
Language:English
Published: London : Routledge, Taylor and Francis, 2014.
Subjects:
Logic, Modern.
Semantics.
Paradox.
semantics.
PHILOSOPHY > Logic.
Logic, Modern
Paradox
Semantics
Online Access:Click for online access
Table of Contents:
  • Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Introduction: Logic, philosophy, analysis; 1 Logical form; Concepts of logic; Logical units and reasoning chains; Deductively valid inference forms; Pragmatic formalization rationale; Formal semantics and logical metatheory; 2 Monkey raisins; An expressive limitation; Surprisingly problematic quantifications; Monkeys and raisins, craisins and kmonkeys; Implications of the paradox; Classical alternatives; Intensional solution to the expressibility problem; The monkey's tale.
  • 3 The secret life of truth- functionsTruth- functions; Cornerstone of extensional logic; Truth- tables for all and sundry; Truth- function mysteries; Constant truth- functions; Counter- examples to extensionalism; Objections anticipated; Expanding the counter- example family; Formal standards of (non- )truth- functionality; Extensionalism beyond reason and repair; 4 Reference and identity; Identity relata; Cognitive significance of non-trivially true identity statements; Objections to Frege's identity thesis; Self- identity and designation; What's in a name?; Idea, sense and reference.
  • Linsky's critique of FregeIdentical sense and the extensional criterion; Intentionality of meaning; Semantics as a theory of the expression of thought; Reference's debt to identity; 5 Intensional versus extensional logic and semantics; Against the semantic grain; Referring and attributing properties to objects; Disguised definite descriptions; Problems in extensionalist reference models; Semantic oppositions idealized; Poverty of purely formal semantics; Davidson's T-schema; Purely formal semantics; Formalizing intentional meaning relations; Explanatory advantages of intensional semantics.
  • Slingshot arguments6 Truth; What is truth?; Truth and meaning, meaning and truth; Constitutive versus regulative truth; Frege's theory of reified truth and falsehood; Tarski's analysis of truth-conditions in formal languages; Regulative alternative to constitutive truth concepts; Positive correspondence; Truth-makers, truth-breakers; Negative states of affairs; True and false sentences; Conceivability of a null universe; 7 Logical and semantic paradoxes; Why paradoxes matter; Philosophical legacy of inconsistency; Precarious logical integrity; A. Paradoxes of conditionals.
  • B. Self-non-applicationsC. Grelling's paradox contra type theory; D. Inductive paradoxes in a deductive logical framework; Conclusion: Moral lessons of logic; Notes; References; Index.

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