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Shelah Soifer graph and the axiom of choice

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#graph-theory #set-theory #axiom-of-choice #axioms #coloring
33
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How can we know all possible structures attending some set of axioms?

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#recursion #axioms
84
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Axiomatic system or Set theory

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#set-theory #axioms #foundations
69
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$AD$ and $AC(2)$

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#logic #set-theory #game-theory #axiom-of-choice #axioms
59
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What makes Euclidian space univalent and topological space multivalent?

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#axioms #philosophy
129
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Looking for summary of algebraic laws

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#abstract-algebra #axioms
4.2k
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Why does one have to check if axioms are true?

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#elementary-set-theory #logic #soft-question #axioms #foundations
120
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Contradictory axioms

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#axioms
78
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On proving the equivalence of axiomatic systems that don't have the same primitive constants

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#logic #axioms
1.7k
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How do we prove a set axioms never lead to a contradiction?

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#logic #axioms #philosophy #proof-theory
1.6k
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Is every element on a set also a set?

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#elementary-set-theory #axioms
333
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What are the subsets of an infinite set?

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#set-theory #axioms
443
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What assures in the ZFC set theory the existence of an uncountable set?

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#set-theory #infinity #axioms
125
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A curious similarity between metric and equivalence relations: Is there a pattern behind this?

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#axioms #pattern-recognition
207
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Bases in vector spaces without $AC$

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#linear-algebra #vector-spaces #set-theory #axiom-of-choice #axioms

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