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Mathematics
Hussein Aiman's user avatar
Hussein Aiman's user avatar
Hussein Aiman's user avatar
Hussein Aiman
  • Member for 6 years, 4 months
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9
If $a$ and $b$ are elements of a group $G$ that satisfy the same first order formulas, is there always an automorphism of $G$ that maps $a$ to $b$?
Jan 13
4
Does the Intermediate Value Theorem for uniformly continuous functions imply the Least Upper Bound Property?
Oct 27, 2023
4
Do the roots of $x^2 + 1$ in a ring extension of the real numbers need to commute with the irrational numbers?
Jun 7
3
Can the existence of a transitive closure for every set be proven in ZFC - Replacement? [duplicate]
Dec 1, 2023
3
Elementary proof that $(1+1/x)^x$ is increasing for $x \in \mathbb{R}_{>0}$
Mar 1
2
Second power of an infinite set is Dedekind-infinite
Oct 23, 2023
2
Can cardinality be defined in ZF-Regularity without the axiom of choice and without Scott's trick?
Jan 9
2
How much choice is needed to prove that $|G| \nless |G/ \sim|$ for any equivalence relation $\sim$ on set $G$?
Mar 10
0
$H_\kappa = \{A: |TC(A)|<\kappa \} = \{A: (\forall x \in TC(\{A\})) (|x|<\kappa)\}$ for singular cardinal $\kappa$
Nov 21, 2023
0
Question about the Peano axioms + linear order axioms
May 22