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Post-Doctoral Research Fellow, School of Mathematics, Institute for Research in Fundamental Sciences (IPM).

My Shelah number is close to one!.


IPM Conference on Set Theory and Model Theory, October 12-16, 2015.


1d
accepted Consistency strength of being strong cardinal and indestructible under collapses
1d
comment Consistency strength of being strong cardinal and indestructible under collapses
Thanks a lot. It essentially answers what I had in mind.
2d
asked Consistency strength of being strong cardinal and indestructible under collapses
Jul
29
revised Collapsing the cardinals between two singular cardinals
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Jul
29
revised Collapsing the cardinals between two singular cardinals
added 895 characters in body
Jul
29
comment Collapsing the cardinals between two singular cardinals
But in $V[H], \kappa$ is singular of cofinality $\omega,$ and passing from $V[H]$ to $V[G],$ we are collapsing all cardinals in the interval $(\kappa, \kappa^{+\omega}]$ without collapsing other cardinals, and both of this cardinals are already singular in $V[H].$
Jul
28
answered Collapsing the cardinals between two singular cardinals
Jul
25
asked $\alpha$-minimal degrees for singular $\alpha$
Jul
23
revised Singularizing forcing of “small” cardinality?
added 231 characters in body
Jul
23
accepted A question related to Woodin's $HOD$ conjecture
Jul
20
revised A question related to Woodin's $HOD$ conjecture
edited body
Jul
20
answered A question related to Woodin's $HOD$ conjecture
Jul
17
revised A question related to Woodin's $HOD$ conjecture
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Jul
17
asked A question related to Woodin's $HOD$ conjecture
Jul
17
comment Posets preserving stationary subsets of $\omega_1$ and no new $\text{cof}(\omega)$ ordinals, but without countable covering property
Unfortunately I have no idea.
Jul
17
awarded  Enlightened
Jul
17
awarded  Nice Answer
Jul
16
answered Posets preserving stationary subsets of $\omega_1$ and no new $\text{cof}(\omega)$ ordinals, but without countable covering property
Jul
12
comment References for Forcing with Side Conditions
The paper "Mitchell's Theorem Revisited" by Gilton-Krueger is also interesting
Jul
11
comment Plausibility argument for a measurable cardinal
The paper Believing in strongly compact cardinals might be also useful. It's abstract is: The classical argument in favor of the existence of strongly compact cardinals is the principle of uniformity. Here we give another argument based on a principle of maximal diversity of reflections. This principle is motivated by Maddy’s set-theoretical naturalism and is inspired by some maximization principles of Leibniz.