(One of the versions of) Hindman's theorem states that, whenever we partition an infinite abelian group G in two cells, there exists an infinite subset X of G such that the set FS(X) consisting of all sums of finitely many distinct elements of X is entirely contained within one of the cells of the partition. In this talk we will show that, when one attempts to replace both instances of "infinite" with "uncountable" in the theorem above, the resulting statement is not only false, but actually very false. This is talk 1 out of n (where n is a still unknown nonzero countable ordinal). Joint work with Assaf Rinot. Speaker(s): David Fernandez Breton (University of Michigan)