### Recent Writing

### Mathoverflow Activity

- Answer by Victoria Gitman for Set forcing over transitive models of NBGSet forcing works over models of ${\rm NBG}$. Suppose ${\mathbb P}$ is a set partial order. Set $\mathbb P$-names are defined as usual. A class $\mathbb P$-name is defined to be a collection of pairs $(\tau,p)$ where $\tau$ is a set $\mathbb P$-name and $p\in\mathbb P$. All the usual properties of the set forcing construction […]Victoria Gitman
- Comment by Victoria Gitman on Does Con(ZF + Reinhardt) really imply Con(ZFC + I0)?@Stefan For some reason, I cannot click on the link.Victoria Gitman
- Comment by Victoria Gitman on Cofinality of $j(\kappa)$ for a measurability embedding $j:V\to M$ with critical point $\kappa$@AsafKaragila I edited the question to make it clearer. Maybe I will ask your version as a follow-up if you don't ask it first :).Victoria Gitman

- Answer by Victoria Gitman for Set forcing over transitive models of NBG
### Cantor’s Attic

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# Author Archives: Victoria Gitman

## The emerging zoo of second-order set theories

This is a talk at the Young Researchers’ Workshop: Forcing and Philosophy, University of Konstanz, January 18, 2018.

## Virtual large cardinal principles

This is a talk at the Harvard Logic Colloquium, Cambridge, November 8, 2017.

Posted in talks
Tagged forcing, Generic Vopěnka’s Principle, large cardinals, virtual large cardinals
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## Filter games and Ramsey-like cardinals

This is a talk at the CUNY Set Theory Seminar, October 20, 2017.

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## The exact strength of the class forcing theorem

V. Gitman, J. D. Hamkins, P. Holy, P. Schlicht, and K. Williams, “The exact strength of the class forcing theorem.” (Submitted) PDF Citation arχiv @ARTICLE{GitmanHamkinsHolySchlichtWilliams:ForcingTheorem, AUTHOR= {Victoria Gitman and Joel David Hamkins and Peter Holy and Philipp Schlicht and … Continue reading

## A model of the generic Vopěnka principle in which the ordinals are not $\Delta_2$-Mahlo

V. Gitman and J. D. Hamkins, “A model of the generic vop\v enka principle in which the ordinals are not $\Delta_2$-mahlo.” (Submitted) PDF Citation arχiv @ARTICLE{GitmanHamkins:GVP, AUTHOR= {Victoria Gitman and Joel David Hamkins}, TITLE= {A model of the generic … Continue reading

## 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.

## 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 2017 AMS Eastern Sectional Meeting in New York, May 6-7.

## 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}, }

Posted in publications
Tagged R. Schindler, remarkable cardinals, virtual large cardinals
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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.

## A countable ordinal definable set of reals without ordinal definable elements

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