Foundations of Logical Consequence

Hardcover | May 20, 2015

EditorColin R. Caret, Ole T. Hjortland

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Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee thetruth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relationbetween logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.

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Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee thetruth of a conclusion, and what constraints d...

Colin R. Caret is Assistant Professor of Philosophy in Underwood International College, Yonsei University, South Korea. Caret earned his PhD from the University of Connecticut and held a previous appointment as a Research Fellow in the Arche Research Centre (University of St Andrews). Ole T. Hjortland is Associate Professor of Philoso...

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Format:HardcoverDimensions:368 pages, 9.21 × 6.14 × 0.98 inPublished:May 20, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198715692

ISBN - 13:9780198715696

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Table of Contents

PrefaceI Introduction1. Colin R. Caret and Ole T. Hjortland: Logical Consequence: Its nature, structure, and applicationII Consequence: Models and Proofs2. Hartry Field: What is Logical Validity?3. Michael Glanzberg: Logical Consequence and Natural Language4. Graham Priest: Is the Ternary R Depraved?5. Stephen Read: Proof-Theoretic ValidityIII Properties and Structure of Logical Consequence6. Vann McGee: The Categoricity of Logic7. Stewart Shapiro: The Meaning of Logical Terms8. Elia Zardini: Breaking the Chains: Following-from and Transitivity9. Jc Beall: Non-Detachable Validity and DeflationismIV Applications of Logical Consequence10. David Ripley: Embedding Denial11. Greg Restall: Assertion, Denial, Accepting, Rejecting, Symmetry and Paradox12. Heinrich Wansing: Knowability Remixed13. J. Robert G. Williams: Accuracy, Logic and Degree of BeliefIndex