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Logic, Mathematics, Philosophy, Vintage Enthusiasms

Essays in Honour of John L. Bell

  • Book
  • © 2011

Overview

Editors:
  1. David DeVidi

    1. , Philosophy, University of Waterloo, Waterloo, Canada

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  2. Michael Hallett

    1. Dept. Philosophy, McGill University, Montreal, Canada

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    You can also search for this editor in PubMed   Google Scholar

  3. Peter Clarke

    1. , Philosophy, University of St. Andrews, St Andrews, United Kingdom

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  • New work by an outstanding list of contributors
  • Includes new results in constructive set theory and category theory
  • Contributions in philosophy of mathematics, logic, philosophy of science, truth and paradox, epistemology, analytic metaphysics, aesthetics and decision theory
  • Includes detailed surveys of category-theoretic logic, developments in real algebraic geometry

Part of the book series: The Western Ontario Series in Philosophy of Science (WONS, volume 75)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xviii
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  2. History and Philosophy of Mathematics and Logic

    1. Front Matter

      Pages 1-1
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    2. On Logicist Conceptions of Functions and Classes

      • William Demopoulos
      Pages 3-18

    3. Metaphysical Necessity

      • Michael Dummett
      Pages 19-34

    4. Ibn Sīnā and Conflict in Logic

      • Wilfrid Hodges
      Pages 35-67

    5. A Minimalist Foundation at Work

      • Giovanni Sambin
      Pages 69-96

    6. The Municipal By-Laws of Thought

      • David DeVidi
      Pages 97-112

  3. Truth, Consistency and Paradox

    1. Front Matter

      Pages 113-113
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    2. Truth and the Liar

      • Colin Howson
      Pages 115-134

    3. Necessary and Sufficient Conditions for Undecidability of the Gödel Sentence and its Truth

      • Daniel Isaacson
      Pages 135-152

    4. Paraconsistent Set Theory

      • Graham Priest
      Pages 153-169

    5. Paradox, ZF, and the Axiom of Foundation

      • Adam Rieger
      Pages 171-187

    6. Absoluteness and the Skolem Paradox

      • Michael Hallett
      Pages 189-218

  4. Logic, Set Theory and Category Theory

    1. Front Matter

      Pages 219-219
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    2. Equalisers of Frames in Constructive Set Theory

      • Peter Aczel
      Pages 221-228

    3. Analogy and Its Surprises: An Eyewitness’s Reflections on the Emergence of Real Algebraic Geometry

      • Max Dickmann
      Pages 229-247

    4. Euler’s Continuum Functorially Vindicated

      • F. William Lawvere
      Pages 249-254

    5. Natural Numbers and Infinitesimals

      • J.P. Mayberry
      Pages 255-286

    6. Logic in Category Theory

      • Alberto Peruzzi
      Pages 287-324

  5. Philosophy of Science

    1. Front Matter

      Pages 325-325
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Keywords

About this book

The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic (William Lawvere, Peter Aczel, Graham Priest, Giovanni Sambin); analytical philosophy (Michael Dummett, William Demopoulos), philosophy of science (Michael Redhead, Frank Arntzenius), philosophy of mathematics (Michael Hallett, John Mayberry, Daniel Isaacson) and decision theory and foundations of economics (Ken Bimore). Most articles are contributions to current philosophical debates, but contributions also include some new mathematical results, important historical surveys, and a translation by Wilfrid Hodges of a key work of arabic logic.

Editors and Affiliations

  • , Philosophy, University of Waterloo, Waterloo, Canada

    David DeVidi

  • Dept. Philosophy, McGill University, Montreal, Canada

    Michael Hallett

  • , Philosophy, University of St. Andrews, St Andrews, United Kingdom

    Peter Clarke

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