Logic Logic And Logic

George Boolos

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George Boolos - Logic Logic And Logic.
George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself... Lire la suite
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Résumé

George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.

Sommaire

  • STUDIES ON SET THEORY AND THE NATURE OF LOGIC
    • The Iterative Conception of Set
    • Reply to Charles Parsons' "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 Note to Kurt Gödel's "Some Basic Theorems on the Foundations of Mathematics and their Implications"
    • Must We Believe in Set Theory? FREGE STUDIES
    • 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 Grandlagen der Arithmetik, §§82-83 (with Richard Heck)
    • Constructing Cantorian Counterexamples
  • VARIOUS LOGICAL STUDIES AND LIGHTER PAPERS
    • Zooming Down the Slippery Slope
    • Don't Eliminate Cut
    • The Justification of Mathematical Introduction
    • 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 Syllabe.

Caractéristiques

  • Date de parution
    01/12/1998
  • Editeur
  • ISBN
    0-674-53767-X
  • EAN
    9780674537675
  • Présentation
    Broché
  • Nb. de pages
    443 pages
  • Poids
    0.63 Kg
  • Dimensions
    15,3 cm × 23,0 cm × 3,0 cm

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À propos de l'auteur

Biographie de George Boolos

George Boolos was Professor of Philosophy, Massachusetts Institute of Technology, author of The Logic of Provability, and coauthor of Computability and Logic.

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