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15
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set theory, Incompleteness and axiomatic systems

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#elementary-set-theory #logic #computability #axioms #incompleteness
232
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Equality of Real Numbers

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#real-analysis #axioms #real-numbers
342
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Is is possible to prove that two systems of axioms are equivalent

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#axioms #peano-axioms #axiomatic-geometry
5.3k
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Which statements are equivalent to the parallel postulate?

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#geometry #reference-request #euclidean-geometry #big-list #axioms
339
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Proof of $x*0=0$ is invalid?

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#proof-verification #proof-writing #axioms #fake-proofs
95
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Has anyone proposed an axiom for ZFC that implies that many different cardinal characteristics are distinct?

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#set-theory #axioms
546
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Stephen Wolfram on axiomatic systems?

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#axioms
261
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Logical dependence between vector space axioms

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#vector-spaces #axioms
171
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Are some of the Real number axioms redundant?

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#real-analysis #inequality #axioms
132
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Deduce supremum of Set A

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#real-analysis #axioms #supremum-and-infimum
293
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Axiom of infinity: What is an inductive set?

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#elementary-set-theory #axioms
9.2k
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Is the Bourbaki treatment of Set Theory outdated?

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#set-theory #axioms
801
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Definability and the Separation and Replacement Axiom Schemata

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#set-theory #formal-languages #axioms
579
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What is needed to make Euclidean spaces isomorphic as groups?

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#group-theory #vector-spaces #set-theory #axiom-of-choice #axioms
325
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Axiomatic proof and Boolean algebra?

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#boolean-algebra #axioms

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