The Consistency of Arithmetic: And Other Essays

Hardcover | July 16, 2014

byStorrs McCall

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This volume contains six new and fifteen previously published essays - plus a new introduction - by Storrs McCall. Some of the essays were written in collaboration with E. J. Lowe of Durham University. The essays discuss controversial topics in logic, action theory, determinism andindeterminism, and the nature of human choice and decision. Some construct a modern up-to-date version of Aristotle's bouleusis, practical deliberation. This process of practical deliberation is shown to be indeterministic but highly controlled and the antithesis of chance. Others deal with theconcept of branching four-dimensional space-time, explain non-local influences in quantum mechanics, or reconcile God's omniscience with human free will. The eponymous first essay contains the proof of a fact that in 1931 Kurt Godel had claimed to be unprovable, namely that the set of arithmetictruths forms a consistent system.

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From the Publisher

This volume contains six new and fifteen previously published essays - plus a new introduction - by Storrs McCall. Some of the essays were written in collaboration with E. J. Lowe of Durham University. The essays discuss controversial topics in logic, action theory, determinism andindeterminism, and the nature of human choice and decis...

Storrs McCall studied philosophy at McGill University and at Oxford. He taught for six years at the University of Pittsburgh and for five years at Makerere University, Uganda, where he initiated the subject and was the first instructor of philosophy. He works in logic and analytic philosophy and has written extensively on the metaphysi...

other books by Storrs McCall

Format:HardcoverDimensions:240 pages, 9.29 × 6.3 × 0.98 inPublished:July 16, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199316546

ISBN - 13:9780199316540

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Table of Contents

Provenance of the EssaysIntroduction1. The consistency of arithmetic.2. Can a Turing machine know that the Godel sentence is true?3. On "seeing" the truth of the Godel sentence4. How to make a decision5. Storrs McCall and E.J. Lowe: Indeterminist Free Will6. Storrs McCall and E.J. Lowe: The determinists have run out of luck, for a good reason7. Action based on Deliberation and Decision8. Controlled Indeterministic Processes in Action Theory9. The Causative Power of Conscious Choice10. The Open Future and its Exploitation by Rational Agents11. Does the brain lead the mind?12. Storrs McCall and E.J. Lowe: 3D/4D equivalence, the twins paradox, and absolute time13. Philosophical Consequences of the Twins Paradox14. Storrs McCall and E.J. Lowe: The 3D/4D Controversy: A Storm in a Teacup15. Laws of Nature and Branching Spacetime16. Objective Time Flow17. Time Flow18. QM and STR: The Combining of Quantum Mechanics and Relativity Theory19. Storrs McCall and E.J. Lowe: Downward causation, biological information, and development fields20. The supervenience of truth: freewill and omniscience21. An insoluble problemIndex

Editorial Reviews

"The essays are uniformly crisp, well-written, technical...and make valuable contributions to their respective literatures... I learned much about many topics from the book. McCall's contributions are indispensable, and anyone interested in his recent work on contemporary metaphysics andaction theory will appreciate this collection." --Metascience