Quine, New Foundations, and the Philosophy of Set Theory

ISBN-13: 9781107152502 / Angielski / Twarda / 2018 / 240 str.

Sean Morris

Opis

Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.

Recenzje

'Sean Morris's book fills a heretofore gaping hole in our understanding of the origins and history of set theory, explaining how Quine's New Foundations is not the isolated, idiosyncratic system it is sometimes taken to be, but is instead deeply connected - historically, philosophically, and mathematically - to other, now more mainstream, accounts of the nature of sets.' Roy T. Cook, University of Minnesota, Twin Cities

Spis treści

Preface; Introduction; Part I: 1. Cantor and the early development of set theory; 2. Cantor, Russell, and Zermelo and the set-theoretic paradoxes; 3. NF and the beginnings of Quine's philosophy of set theory; Part II: 4. Quine's philosophy of set theory; 5. Clarifying our conceptual scheme: set theory and the role of explication; Part III: 6. The iterative conception and set theory; 7. NF, the axiom of choice, and arithmetic; Bibliography; Index.