Journal of Philosophical Logic

, Volume 42, Issue 1, pp 195–219

Paradox and Potential Infinity

Authors

    • The Logic ProgramIndiana University
Article

DOI: 10.1007/s10992-011-9218-y

Cite this article as:
McCarty, C. J Philos Logic (2013) 42: 195. doi:10.1007/s10992-011-9218-y

Abstract

We describe a variety of sets internal to models of intuitionistic set theory that (1) manifest some of the crucial behaviors of potentially infinite sets as described in the foundational literature going back to Aristotle, and (2) provide models for systems of predicative arithmetic. We close with a brief discussion of Church’s Thesis for predicative arithmetic.

Keywords

Potential infinity Intuitionism Predicative arithmetic Church’s thesis

Copyright information

© Springer Science+Business Media B.V. 2011