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Logic, Logic, and Logic

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Product Details


$50.00 • £40.95 • €45.00

ISBN 9780674537675

Publication Date: 10/15/1999


443 pages

6-3/8 x 9-1/4 inches

11 line illustrations, 2 tables


  • I. Studies on Set Theory and the Nature of Logic
    • Introduction to Part I
    • The Iterative Conception of Set
    • Reply to Charles Parsons’s “Sets and Classes”
    • On Second-Order Logic
    • To Be Is to Be a Value of a Variable (Or to Be Some Values of Some Variables)
    • Nominalist Platonism
    • Iteration Again
    • Introductory Notes to Kurt Gödel’s “Some Basic Theorems on the Foundations of Mathematics and their Implications”
    • Must We Believe in Set Theory?
  • II. Frege Studies
    • Introduction to Part II
    • Gottlob Frege and the Foundations of Arithmetic
    • Reading the Begriffsschrift
    • Saving Frege from Contradiction
    • The Consistency of Frege’s Foundations of Arithmetic
    • The Standard of Equality of Numbers
    • Whence the Contradiction?
    • 1879?
    • The Advantages of Honest Toil over Theft
    • On the Proof of Frege’s Theorem
    • Frege’s Theorem and the Peano Postulates
    • Is Hume’s Principle Analytic?
    • Die Grundlagen der Arithmetik, §§82–83 (with Richard Heck)
    • Constructing Cantorian Counterexamples
  • III. Various Logical Studies and Lighter Papers
    • Introduction to Part III
    • Zooming Down the Slippery Slope
    • Don’t Eliminate Cut
    • The Justification of Mathematical Induction
    • A Curious Inference
    • A New Proof of the Gödel Incompleteness Theorem
    • On “Seeing” the Truth of the Gödel Sentence
    • Quotational Ambiguity
    • The Hardest Logical Puzzle Ever
    • Gödel’s Second Incompleteness Theorem Explained in Words of One Syllable
  • Afterword
  • Bibliography
  • Index

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