ultrafinitism

Ultrafinitism as arithmetic potentialism

We may fruitfully view the philosophy of ultrafinitism in a potentialist light, helping to illuminate its philosophical commitments.

Jan 12 • Joel David Hamkins

Two visions of ultrafinitism intricately intertwined

These two concepts of ultrafinitism—one positing a largest number, another asserting totality for addition and multiplication but not exponentiation—are…

Dec 29, 2025 • Joel David Hamkins

Ultrafinitism with a largest number

According to the theory of finite arithmetic (FA), there is a largest natural number, and consequently addition and multiplication are only partially…

Dec 19, 2025 • Joel David Hamkins

Ultrafinitism is the philosophical view that only comparatively small or accessible numbers exist.

Dec 12, 2025 • Joel David Hamkins

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