**Category:**

Research Papers

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

February 19, 2021

**Keywords:**

transfinite addition, transfinite multiplication, transfinite exponentiation, aleph-null, power of the continuum.

**Abstract:**

By means of orthodox transfinite arithmetic, this chapter proves, among other results, an unexpected inconsistency involving aleph-null and the power of the continuum.

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