Hindman's Theorem: An Ultrafilter Argument in Second Order Arithmetic

Henry Towsner

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arXiv · 0906.3882

Hindman's Theorem: An Ultrafilter Argument in Second Order Arithmetic

Henry Towsner

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Abstract

Hindman's Theorem is a prototypical example of a combinatorial theorem with a proof that uses the topology of the ultrafilters. We show how the methods of this proof, including topological arguments about ultrafilters, can be translated into second order arithmetic.

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Henry Towsner. 2009-06-21. Hindman's Theorem: An Ultrafilter Argument in Second Order Arithmetic. https://arxiv.org/abs/0906.3882

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