Strong Axioms of Infinity and the Debate About Realism

Journal of Philosophy 111 (8):397-419 (2014)
  Copy   BIBTEX


One of the most distinctive and intriguing developments of modern set theory has been the realization that, despite widely divergent incentives for strengthening the standard axioms, there is essentially only one way of ascending the higher reaches of infinity. To the mathematical realist the unexpected convergence suggests that all these axiomatic extensions describe different aspects of the same underlying reality



    Upload a copy of this work     Papers currently archived: 91,164

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles


Added to PP

303 (#63,533)

6 months
15 (#143,114)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

W. Hugh Woodin
Harvard University

Citations of this work

Characterizations of ordinal analysis.James Walsh - 2023 - Annals of Pure and Applied Logic 174 (4):103230.
Why Believe Infinite Sets Exist?Andrei Mărăşoiu - 2018 - Axiomathes 28 (4):447-460.

Add more citations

References found in this work

No references found.

Add more references