Synopses & Reviews
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.
This collection of George Boolos work includes 30 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 Godel theormes.
About the Author
George Boolos was Professor of Philosophy, Massachusetts Institute of Technology.
Table of Contents
- 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?
- 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?
- 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
- 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