%0 Journal Article %T Hindman's Theorem: An Ultrafilter Argument in Second Order Arithmetic %A Henry Towsner %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0906.3882v1