Logic, Logic, and Logic / Edition 1

by George Boolos, John P. Burgess, Richard Jeffrey

Overview

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.

Product Details

ISBN-13:	9780674537675
Publisher:	Harvard University Press
Publication date:	10/15/1999
Edition description:	Reprint
Pages:	443
Product dimensions:	6.38(w) x 9.25(h) x 0.75(d)

About the Author

George Boolos was Professor of Philosophy, Massachusetts Institute of Technology.

Table of Contents

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 Gödel *1951

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