New Essays on the Knowability Paradox

Hardcover | June 15, 2009

EditorJoe Salerno

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In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Eversince, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability. This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. Thevolume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modaland temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.

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In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Eversince, philosophers have been attempting to un...

Joe Salerno received his Ph.D. from the Ohio State University in 1999. He is currently a Visiting Research Fellow at Australian National University, and Assistant Professor of Philosophy at Saint Louis University. He writes in epistemology and the philosophy of logic

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Format:HardcoverDimensions:368 pages, 9.21 × 6.14 × 0.98 inPublished:June 15, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199285497

ISBN - 13:9780199285495

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Table of Contents

Joe Salerno: IntroductionI. Early History1. Alonzo Church: Referee Reports on Fitch's "A Definition of Value"2. Frederic Fitch: A Logical Analysis of Some Value Concepts3. Joe Salerno: Knowability Noir: 1945-1963II. Dummett's Constructivism4. Michael Dummett: Fitch's Paradox of Knowability5. Stig Rasmussen: The Paradox of Knowability and the Mapping Objection6. Jose Luis Bermudez: Truth, Indefinite Extensibility, and Fitch's ParadoxIII. Paraconsistency and Paracompleteness7. Graham Priest: Beyond the Limits of Knowledge8. JC Beall: Knowability and Possible Epistemic OdditiesIV. Epistemic and Temporal Operators: Actions, Times and Types9. Johan van Benthem: Actions That Make us Know10. John Burgess: Can Truth Out?11. Bernard Linsky: Logical Types in Arguments about Knowability and BeliefV. Cartesian Restricted Truth12. Timothy Williamson: Tennant's Troubles13. Jonathan L. Kvanvig: Restriction Strategies for Knowability: Some Lessons in False Hope14. Neil Tennant: Revamping the Restriction StrategyVI. Modal and Mathematical Fictions15. Berit Brogaard: On Keeping Blue Swans and Unknowable Facts at Bay: a Case Study on Fitch's Paradox16. Otavio Bueno: Fitch's Paradox and the Philosophy of MathematicsVII. Knowability Reconsidered17. Michael Hand: Performance and Paradox18. Carrie Jenkins: The Mystery of the Disappearing Diamond19. W. D. Hart: Invincible Ignorance20. Christoph Kelp and Duncan Pritchard: Two Deflationary Approaches to Fitch-Style Reasoning21. Greg Restall: Not Every Truth Can Be Known (at least, not all at once)