The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Let S be the group of finitely supported permutations of a countably infinite set. Let K[S] be the group algebra of S over a field K of characteristic 0. According to a theorem of Formanek and ...

This is a preview. Log in through your library . Abstract Ramsey's theorem states that for any coloring of the n-element subsets of ℕ with finitely many colors, there is an infinite set H such that ...

Mathematics is distinguished from the sciences by the freedom it enjoys in choosing basic assumptions from which consequences can be deduced by applying the laws of logic. We call the basic ...

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