Might All Infinities Be the Same Size?

Australasian Journal of Philosophy 98 (3):604-617 (2020)
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Abstract

Cantor proved that no set has a bijection between itself and its power set. This is widely taken to have shown that there infinitely many sizes of infinite sets. The argument depends on the princip...

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2019

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10.1080/00048402.2019.1638949

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Alexander R. Pruss
Baylor University

Citations of this work

In defense of Countabilism.David Builes & Jessica M. Wilson - 2022 - Philosophical Studies 179 (7):2199-2236.
Cantor, Choice, and Paradox.Nicholas DiBella - forthcoming - The Philosophical Review.
Can All Things Be Counted?Chris Scambler - 2021 - Journal of Philosophical Logic 50 (5):1079-1106.
Mathematical Modality: An Investigation in Higher-order Logic.Andrew Bacon - 2024 - Journal of Philosophical Logic 53 (1):131-179.

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References found in this work

The set-theoretic multiverse.Joel David Hamkins - 2012 - Review of Symbolic Logic 5 (3):416-449.
Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.

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