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Numbers and reality

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#definition #philosophy
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Since arithmetic has a model (thus it is consistent) why care if consistency can't be proved?

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#logic #philosophy #incompleteness
1.7k
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When is a function a dimension?

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#soft-question #philosophy #dimension-theory-analysis
2k
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Proving a theorem of logic

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#logic #philosophy #foundations
231
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From the perspective of the multiverse theory, would maths "work the same" in every possible Universe?

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#physics #philosophy
35
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Finding unique rules for a finite number of initial steps, using Information theory

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#sequences-and-series #information-theory #philosophy
176
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Troubling questions about probability

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#probability #probability-theory #advice #philosophy #provability
1.3k
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What exactly is real number?

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#philosophy
462
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Can the generalized continuum hypothesis be disguised as a principle of logic?

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#soft-question #set-theory #axiom-of-choice #axioms #philosophy
578
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Can math be learned backwards?

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#philosophy
2.5k
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About the cardinality of natural numbers [Solved]

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#elementary-set-theory #philosophy
12.2k
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Why do we not have to prove definitions?

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#definition #philosophy
1k
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Plantinga's logical argument for mind-body dualism

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#logic #philosophy
297
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Proof of identity A = A or 1 = 1

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#equivalence-relations #axioms #philosophy
869
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As of August 2015, is the "set" of all gold medalists in the 2016 Olympics a set?

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#elementary-set-theory #logic #philosophy

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