Noûs 53 (1):160-191 (2019)

Authors
Øystein Linnebo
University of Oslo
Stewart Shapiro
Ohio State University
Abstract
The notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.
Keywords infinity  Cantor  Aristotle  potential infinity  intuitionistic logic
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DOI 10.1111/nous.12208
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References found in this work BETA

Monism: The Priority of the Whole.Jonathan Schaffer - 2010 - Philosophical Review 119 (1):31-76.
Syntactic Structures.J. F. Staal - 1966 - Journal of Symbolic Logic 31 (2):245-251.
Truth and Other Enigmas.Michael Dummett - 1980 - Revue Philosophique de la France Et de l'Etranger 170 (1):62-65.
The Potential Hierarchy of Sets.Øystein Linnebo - 2013 - Review of Symbolic Logic 6 (2):205-228.
Truth and Other Enigmas.Michael Dummett - 1978 - British Journal for the Philosophy of Science 32 (4):419-425.

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Citations of this work BETA

In Defense of Countabilism.David Builes & Jessica M. Wilson - forthcoming - Philosophical Studies:1-38.
Mathematical and Moral Disagreement.Silvia Jonas - 2020 - Philosophical Quarterly 70 (279):302-327.

View all 15 citations / Add more citations

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