List questions from axioms

Published on 05 Dec 2014 - 14:11

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Applying the Axiom Schema of Separation for the property $x = \{x\}$

Published on 06 Dec 2014 - 12:50

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Can we prove that axioms do not contradict?

Published on 25 Mar 2026 - 22:03

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Are there any articles (or otherwise) that discuss the idea that the set-theoretic universe should be as "free" as possible?

Published on 14 Dec 2014 - 16:19

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Prerequisites for Hartshorne: Euclid and beyond?

Published on 14 Dec 2014 - 23:58

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Are there axioms for $\mathrm{ZFC}$ that imply that $\aleph_1$ is very large?

Published on 17 Dec 2014 - 13:57

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Name of an axiom

Published on 23 Dec 2014 - 21:20

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Is the anti-foundation axiom considered constructive?

Published on 26 Mar 2026 - 2:50

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Is the "domain of discourse" in axiomatic set theory also a "set"?

Published on 31 Dec 2014 - 20:46

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Are there logical arguments against modern $\sf ZFC$ set theory?

Published on 25 Mar 2026 - 2:31

266

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Are there an axioms for cartesian space?

Published on 03 Oct 2019 - 20:54

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Are there other forms of lines in $\mathbb R \times \mathbb R$?

Published on 04 Oct 2019 - 19:03

162

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Is the existence of infinitesimals a substitute of the completeness axiom?

Published on 25 Mar 2026 - 13:57

387

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Congruence of angles axiom

Published on 25 Mar 2026 - 4:39

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Fundamentals of mathematics

Published on 06 Oct 2019 - 2:24

List Question

Pasch's axiom in the hyperbolic plane

Applying the Axiom Schema of Separation for the property $x = \{x\}$

Can we prove that axioms do not contradict?

Are there any articles (or otherwise) that discuss the idea that the set-theoretic universe should be as "free" as possible?

Prerequisites for Hartshorne: Euclid and beyond?

Are there axioms for $\mathrm{ZFC}$ that imply that $\aleph_1$ is very large?

Name of an axiom

Is the anti-foundation axiom considered constructive?

Is the "domain of discourse" in axiomatic set theory also a "set"?

Are there logical arguments against modern $\sf ZFC$ set theory?

Are there an axioms for cartesian space?

Are there other forms of lines in $\mathbb R \times \mathbb R$?

Is the existence of infinitesimals a substitute of the completeness axiom?

Congruence of angles axiom

Fundamentals of mathematics

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