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Determining if a set is a $\mathfrak{A}$-big

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#elementary-set-theory #axioms
603
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Proof of the product rule in probability theory for causal independence

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#probability-theory #independence #axioms
91
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Proving symmetry and transitivity of $=$ from axioms

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#first-order-logic #axioms
128
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Does Godel 1st theorem make sense?

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#computer-science #axioms #incompleteness #paradoxes
52
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Problems that involves two facts in the definition of vector spaces

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#linear-algebra #logic #vector-spaces #axioms
92
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Let a, b, c $\in \mathbb{Q}$. Prove if $a + c < b + c$, then $a < b$.

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#inequality #axioms
268
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Is $0 \neq 1$ a necessary ring axiom?

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#abstract-algebra #ring-theory #axioms
61
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Could we be biased toward positive integers throughout mathematics?

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#integers #axioms
128
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Is cardinal arithmetic a model of Robinson arithmetic?

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#logic #set-theory #model-theory #axioms #nonstandard-models
95
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If we want to use proof by contradiction, shouldn't we first proof that a statement is either true or false?

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#axioms
172
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What exactly are axioms?

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#book-recommendation #axioms #philosophy
86
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Fundamentals of Truth, Provability and Axioms by means of the Continuum Hypothesis

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#logic #axioms #provability
165
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What is the difference between the Comprehension scheme an Replacemnt scheme?

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#set-theory #axioms
122
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What is gonna happen to math when most open problems in number theory end up being independent of ZFC?

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#logic #set-theory #first-order-logic #model-theory #axioms
99
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How to establish (formally) equality of sets?

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#elementary-set-theory #logic #axioms

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