bio  website  math.ipm.ac.ir/golshani 

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PostDoctoral Research Fellow, School of Mathematics, Institute for Research in Fundamental Sciences (IPM).
My Shelah number is 2.
1d

asked  Reinhardt cardinals and iterability 
2d

comment 
A Question Regarding the Powerset Size Axiom
Maybe the paper A Combinatorial Principle Equivalent to the Existence of Nonfree Whitehead Groups by EklofShelah be relevant. 
Oct 20 
comment 
A question on GandyJensen system and the rudimentary functions
Isn't sufficient to show that these functions produce Godel operators? 
Oct 19 
comment 
On $V$decisive and weakly homogeneous forcings
I think you mean a $V$decisive which is not weakly homogeneous? 
Oct 19 
revised 
Canonical functions in set theory and their applications
deleted 310 characters in body 
Oct 19 
asked  Canonical functions in set theory and their applications 
Oct 16 
awarded  forcing 
Oct 15 
answered  Can the Cohen forcing collapse cardinals? 
Oct 15 
comment 
non(Meager) in Random times Random extension
Isn't Random$\times$Random, the same as two step iteration of Random. If so, then just use your above comment two times! 
Oct 14 
comment 
How to change the successor of a singular with a Woodin?
I am assuming GCH in the ground model, so for all $n<\omega, 2^{\aleph_n} < \aleph_{\omega+1},$ so no bounded subsets of $\aleph_n$ are added. It follows that no bounded subsets of $\aleph_\omega$ are added. 
Oct 12 
revised 
How to change the successor of a singular with a Woodin?
added 523 characters in body 
Oct 12 
comment 
How to change the successor of a singular with a Woodin?
I think we face some problems. For example if $G$ is $\mathbb{P}_{<\kappa}$generic, then $V_\kappa$ is not in $Ult(V, G),$ so we may face problems. Another note is that if we want wellfoundedness of $Ult(V, G)$ we need more, maybe a Woodin cardinal. I will add more to my answer. 
Oct 12 
answered  Consequences of ZFC+“$x\lty \rightarrow 2^x\lt2^y$” 
Oct 12 
revised 
How to change the successor of a singular with a Woodin?
added 238 characters in body 
Oct 12 
comment 
How to change the successor of a singular with a Woodin?
Completely Jonsson cardinals have very low consistency strength. For example if a cardinal is measurable, then it is Completely Jonsson and there are unboundedly Completely Jonsson cardinals below it. 
Oct 12 
answered  How to change the successor of a singular with a Woodin? 
Oct 9 
comment 
A Question Regarding the Powerset Size Axiom
What I understood from the problem is that it asks if we can have a proper class of models of PSA+every Wgroup is free, and a proper class of models of $\neg PSA+$there are nonfree Wgroups. 
Oct 9 
answered  A Question Regarding the Powerset Size Axiom 
Oct 9 
comment 
A Question Regarding the Powerset Size Axiom
For your last question, the answer is yes. If V satisfies GCH, then V satisfies PSA and we can easily force $\lnot$PSA just by adding $\aleph_2$many Cohen reals 
Oct 7 
revised 
Boolean Valued Models of PA
added 1118 characters in body 