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A Snag in Cantor’s Paradise
Axiomathes 31 (4):525-527 (2020)
Abstract
The paper claims that the strategy adopted in the proof of Cantor’s theorem is problematic. Using the strategy, an unacceptable situation is built. The paper also makes the suggestion that the proof of Cantor’s theorem is possible due to lack of an apparatus to represent emptiness at a certain level in the ontology of set-theory.My notes
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Citations of this work
Some Critical Notes on the Cantor Diagonal Argument.Philip Molyneux - 2022 - Open Journal of Philosophy 12 (3):255-265.
References found in this work
An editor recalls some hopeless papers.Wilfrid Hodges - 1998 - Bulletin of Symbolic Logic 4 (1):1-16.
x2. Cantor's proof. The authors of these papers—henceforth let me call them just the authors—seem to have read Cantor's argument in a variety of places. In my records only one author refers directly to Cantor's own argument [7]. One quotes Russell's 'Principles of mathematics'[20] later. [REVIEW]Wilfrid Hodges - 1998 - Bulletin of Symbolic Logic 4 (1):1-16.
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