ordinal arithmetic

Which ordinals are closed under addition? Which are closed under multiplication? Let us try to identify them exactly.

Let's review the basics of ordinal arithmetic, addition, multiplication, and exponentiation, providing both the order-theoretic semantic definitions as…

Jan 22 • Joel David Hamkins

How to count

Shall we count together in the ordinals? Let us venture into that transfinite realm beyond infinity. Is infinity even or odd? Can we count to an…

Feb 22, 2023 • Joel David Hamkins

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ordinal arithmetic