Journal of Philosophical Logic

, Volume 42, Issue 1, pp 195–219

Paradox and Potential Infinity


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


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.


Potential infinityIntuitionismPredicative arithmeticChurch’s thesis

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.The Logic ProgramIndiana UniversityBloomingtonUSA