Set Theory and Logic

    

An Inconsistent Hierarchy of Sets in [0, 1]

Authors: Jim Rock

Two contradictory arguments are developed from a hierarchy of sets in [0, 1]. One argument is a proof by contradiction and its conclusion is true. The other argument is an existence argument and while its conclusion is not true, it follows logically from the a valid assumption followed by three true statements that precede the conclusion.

Comments: 1 Page. Contains a reply to a common objection made about 2303.0105 v1.

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Submission history

[v1] 2023-03-17 02:37:57
[v2] 2023-03-25 16:53:00

Unique-IP document downloads: 309 times

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