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math.LO2008★ 1 cited
Proper and piecewise proper families of reals
Victoria Gitman
I introduced the notions of proper and piecewise proper families of reals to make progress on an open question in the field of models of PA about whether every Scott set is the sta…
math.LO2008
Scott's problem for proper Scott sets
Victoria Gitman
I show that assuming PFA, every proper Scott set is the standard system of a model of PA. A Scott set X is proper if it is arithmetically closed and the quotient Boolean algebra X/…