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arxiv: 1508.03613 · v1 · pith:R7Y764SBnew · submitted 2015-08-12 · 🧮 math.LO · math.CO

Hindman's theorem and idempotent types

classification 🧮 math.LO math.CO
keywords hindmanidempotenttheoremtypesarithmeticcompletecountableequivalent
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Motivated by a question of Di Nasso, we prove that Hindman's theorem is equivalent to the existence of idempotent types in countable complete extensions of Peano Arithmetic.

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