### Recent Writing

- A model of second-order arithmetic with the choice scheme in which $\Pi^1_2$-dependent choice fails
- Computable processes which produce any desired output in the right nonstandard model
- Virtual large cardinals
- Virtual Set Theory and Generic Vopěnka’s Principle
- A countable ordinal definable set of reals without ordinal definable elements

### Mathoverflow Activity

- 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
- Comment by Victoria Gitman on Cofinality of $j(\kappa)$ for a measurability embedding $j:V\to M$ with critical point $\kappa$@AsafKaragila I should have done a better job stating my question clearly. I wanted to know precisely what Yair answered: whether there are models where $\text{cf}(j(\kappa))$ is smaller than the size of $j(\kappa)$. Your interpretation of the question is very interesting as well, but I think much harder to answer.Victoria Gitman

- Comment by Victoria Gitman on Does Con(ZF + Reinhardt) really imply Con(ZFC + I0)?
### Cantor’s Attic

- User:Andres CaicedoUser account Andres Caicedo was createdAndres Caicedo

- User:Andres Caicedo

# Monthly Archives: July 2008

## 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 = {Victoria Gitman}, TITLE = {Proper and Piecewise Proper Families of Reals}, … Continue reading

Posted in publications
Tagged models of PA, PFA, proper families of reals, scott sets
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