Author Archives: Victoria Gitman

A model of second-order arithmetic with the choice scheme in which $\Pi^1_2$-dependent choice fails

This is a talk at the Kurt Gödel Research Center Research Seminar in Vienna, Austria, May 18, 2017.

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Computable processes which produce any desired output in the right nonstandard model

This is a talk at the special session “Computability Theory: Pushing the Boundaries” of 2​017 AMS Eastern Sectional Meeting in New York, May 6-7.

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Virtual large cardinals

V. Gitman and R. Schindler, “Virtual large cardinals.” (Submitted)   PDF Citation @ARTICLE{GitmanSchindler:virtualCardinals, AUTHOR= {Gitman, Victoria and Schindler, Ralf}, TITLE= {Virtual large cardinals}, Note ={Submitted}, pdf={https://boolesrings.org/victoriagitman/files/2017/03/virtualLargeCardinals.pdf}, }

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Virtual Set Theory and Generic Vopěnka’s Principle

This is a talk at the VCU MAMLS Conference in Richmond, Virginia, April 1, 2017.

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A countable ordinal definable set of reals without ordinal definable elements

This is a talk at the CUNY Set Theory Seminar, February 10, 2017.

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The oddities of class forcing

I recently finished reading a series of excellent articles by Peter Holy, Regula Krapf, Philipp Lücke, Ana Njegomir and Philipp Schlicht investigating properties of class forcing over models of ${\rm GBC}$ (Gödel-Bernays set theory). So I would like to summarize … Continue reading

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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.

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Generic Vopěnka’s Principle at YST2016

This is a talk at the Young Set Theory 2016 Conference in Copenhagen, Denmark, June 13-17, 2016.

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Generic Vopěnka’s Principle

This is a talk at the Rutgers Logic Seminar in New Jersey, May 2, 2016.

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Computable processes can produce arbitrary outputs in nonstandard models (continued)

In the previous post, I discussed a theorem of Woodin, extended recently by Blanck and Enayat, showing that for every computably enumerable theory $T$, there is in index $e$ such that if $M\models T$ satisfies that $W_e$ is contained in … Continue reading

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