Set Theory and Logic

    

The Fog Covering Cantor's Paradise: Some Paradoxes on Infinity and Continuum

Authors: Ke Zhang

We challenge Georg Cantor's theory about infinity. By attacking the concept of “countable/uncountable” and diagonal argument, we reveal the uncertainty, which is obscured by the lack of clarity. The problem arises from the basic understandings of infinity and continuum. We perform many thought experiments to refute current standard views. The results support the opinion that no potential infinity leads to an actual infinity, nor is there any continuum composed of indivisibles statically, nor is Cantor's theory consistent in itself.

Comments: 19 pages English + 19 pages Chinese. Mail: alspa@163.com

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Submission history

[v1] 2021-06-28 17:49:00
[v2] 2021-10-08 23:53:33

Unique-IP document downloads: 583 times

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