Set Theory and Logic

    

First Case of Mistake in Cantor’s Proof: Pure Double Contradiction Technique

Authors: Juan Carlos Caso Alonso

The proof of Cantor's Theorem ( |A| < |P(A)| ), changes depending to which mathematician you ask. There are two versions of it. The one I call "Creating an extern element", and the other one I call "Pure double contradiction".This document will try to explain the difference between them, and after that show that the second one should not be never used, for being "not reliable".In case you are interested, you have an extra chapter, with informal data about the first one.

Comments: 39 Pages.

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Submission history

[v1] 2024-01-24 00:21:06
[v2] 2024-01-31 17:28:42

Unique-IP document downloads: 494 times

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