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Using the Subset Axioms to prove the existence of a set

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#elementary-set-theory #axioms
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What are the postulates that can be used to derive geometry?

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#geometry #big-list #euclidean-geometry #axioms
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A first order sentence such that the finite Spectrum of that sentence is the prime numbers

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#logic #prime-numbers #model-theory #axioms
761
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Relationship between Category theory and Axiomatic set theory

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#set-theory #category-theory #model-theory #axioms
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What are natural numbers?

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#logic #set-theory #philosophy #axioms
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How do the separation axioms follow from the replacement axioms?

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#elementary-set-theory #axioms
963
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Can it be shown that ZFC has statements which cannot be proven to be independent, but are?

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#logic #set-theory #proof-theory #axioms
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Is it possible to have a field without an additive identity?

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#field-theory #axioms
334
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Can the power set be axiomatised?

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#logic #set-theory #axioms
90
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A very simple question

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#axioms
362
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Do Ambivalent Axioms have a place in Mathematics?

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#mathematical-modeling #axioms
264
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How can the geometry (and the reals) be motivated from the bottom up?

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#geometry #definition #axioms
248
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Peano, simple induction

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#induction #axioms
128
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Show $xy\neq0$ is the same as $x\neq0 \wedge y \neq0$

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#field-theory #axioms
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Questions about completeness axiom

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#real-analysis #axioms

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