Asaf Karagila

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Name Asaf Karagila
Member for 2 years
Seen 8 hours ago
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Location Israel
Age 28
Born and raised in Israel. Ph.D. candidate in the Hebrew university in Jerusalem; studying set theory.
53

Questions
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How To Present Mathematics To Non-Mathematicians?

apr 6 12 at 21:02 Ronnie Brown 5,287●19●20

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When does $A^A=2^A$ without the axiom of choice?

feb 25 at 23:58 Asaf Karagila 7,243●1●14●44

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Half Cantor-Bernstein Without Choice

may 19 11 at 9:07 Ricky Demer 6,411●8●31

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What is a Choice Principle, really?

aug 6 at 8:59 Andrej Bauer 12.5k●27●69

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Haar measures in Solovay’s model

jul 17 11 at 21:43 Juris Steprans 2,338●4●13

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Countable Unions And The Axiom Of Countable Choice

sep 18 11 at 4:36 godelian 923●7●12

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Does ZFC prove the universe is linearly orderable?

nov 3 at 3:47 Joel David Hamkins 75.5k●8●188●346

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77

Answers
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63
Mathematical “urban legends”
21
Which math paper maximizes the ratio (importance)/(length)?
17
Hahn’s Embedding Theorem and the oldest open question in set theory
13
Mathematics with the negation of AC
11
Compactness of the Hilbert cube without the Axiom of Choice
11
ZF + the reals are the countable union of countable sets consistent
11
Axiom of choice and bases of vector spaces over a fixed field
10
Most memorable titles
10
Road to Solovay’s Land.
9
Trichotomies in mathematics
9
Does a nonlinear additive function on R imply a Hamel basis of R?
9
Examples of undergraduate mathematics separation from what mathematicians should know
7
Permutation models with a class-sized group
7
Countably generated $\sigma$-algebras of ${\mathcal P}({\mathbb R})$ and choice
7
Distinguishing two local versions of the axiom of choice
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Does ZF bound countable unions of countable sets?
7
Set Theory exercise.
6
What is Gödel’s pairing function on ordinals?
6
What axioms are stronger than the Axiom of choice?
6
Counterintuitive consequences of the Axiom of Determinacy?
6
Teaching undergraduate students to write proofs
6
Well-ordered cofinal subsets
6
Which mathematicians have influenced you the most?
6
Can one really construct an “ordinal table”?
5
Are there examples of statements that have been proven whose consistency proofs came before their proofs?
5
Does ZFC without Foundation prove that given any proper class A, every set can be injected into A ?
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Periodic point-free maps and free ultrafilters.
5
Existence of model of ZF without AC, but with many choice function
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what axioms are between AC and Countable choice !
5
Equivalent Forms of AC
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