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Why is MA not provable from ZFC?

Published on
#set-theory #axioms #forcing #infinitary-combinatorics
40
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A transitive closure axiom for a machine operating system.

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#soft-question #computer-science #computability #computational-mathematics #axioms
74
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Why don't the other axioms of ZF imply extensionality?

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#set-theory #axioms #provability
113
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Is it possible to create the smallest real positive number by axiome?

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#real-numbers #axioms #infinitesimals
393
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What axiom of ZFC implies that "sets have no repeated elements"?

Published on
#elementary-set-theory #axioms
58
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I don't understand how this formulation of Extensionality is valid

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#elementary-set-theory #logic #axioms
369
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Does "axiom" in "the axioms of group theory" mean the same as "axiom" in first order logic system?

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#group-theory #logic #axioms
93
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Proving independence of the neighborhood axioms in topology

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#general-topology #axioms
695
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Geometric basis for the real numbers

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#geometry #real-numbers #axioms
349
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Infinite sums vs infinite unions

Published on
#soft-question #axioms #philosophy
441
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Does iterating the Union operator yield the empty set?

Published on
#elementary-set-theory #axioms
67
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Proof using the axioms

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#axioms
257
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Directly proving $(-a)^2 = a^2$

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#axioms
151
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Modification to axiom of infinity for the sake of asserting uniqueness?

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#set-theory #axioms
215
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Comprehension scheme confusion

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#set-theory #axioms

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