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Scott’s problem for proper Scott sets

V. Gitman, “Scott’s problem for proper Scott sets,” The journal of symbolic logic, vol. 73, iss. 3, pp. 845-860, 2008.   PDF Citation arχiv @ARTICLE {gitman:scott, AUTHOR = {Victoria Gitman}, TITLE =...

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Proper and piecewise proper families of reals

V. Gitman, “Proper and piecewise proper families of reals,” Mathematical logic quarterly, vol. 55, iss. 5, pp. 542-550, 2009.   PDF Journal MR Citation arχiv @ARTICLE {gitman:proper, AUTHOR =...

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Applications of the proper forcing axiom to models of Peano Arithmetic

V. Gitman, Applications of the proper forcing axiom to models of Peano arithmetic, ProQuest LLC, Ann Arbor, MI, 2007. (Thesis (Ph.D.)–City University of New York)   PDF MR Citation @book...

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A set-theoretic approach to Scott’s Problem

This is a talk at the National University of Singapore Logic Seminar, October 19, 2016. Every nonstandard model of Peano Arithmetic (${\rm PA}$) has a Boolean algebra of subsets of the natural numbers...

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