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Meaning of the word "axiom"

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#logic #axioms #philosophy
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Is it circular to define the Von Neumann universe using "sets"?

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#set-theory #model-theory #philosophy #foundations
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What is... A Parsimonious History?

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#real-analysis #soft-question #math-history #philosophy #nonstandard-analysis
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Is it an abuse of language to say "*the* integers," "*the* rational numbers," or "*the* real numbers," etc.?

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#soft-question #definition #philosophy
244
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When are quantities outside of the real numbers considered equal, and when do they exist?

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#terminology #definition #philosophy
119
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"Concrete" Realisations of non-abelian finite groups

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#abstract-algebra #group-theory #finite-groups #philosophy
166
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A philosophical question on probability theory

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#probability #logic #philosophy
491
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Do different notations imply different properties of a number?

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#notation #integers #philosophy #parity
213
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Can we take definability and existence as primitive notions of a theory?

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#logic #set-theory #philosophy
765
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Necessary truth of mathematical proposition.

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#logic #philosophy
914
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The positive introspection axiom

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#logic #propositional-calculus #philosophy #modal-logic
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What's going on with this 5-line proof of Fermat's Last Theorem?

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#proof-explanation #philosophy #fake-proofs
158
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Find the divisors of $5040$ in the Plato's dialogue "Theaetetus"

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#combinatorics #permutations #factorial #philosophy
155
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If a theory $A$ can prove $B$ consistent relative to $A$, and $A$ is consistent, does $B$ have to be consistent?

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#proof-verification #set-theory #philosophy #foundations
604
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Logical explanation why exponentiation operation is not commutative and associative

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#elementary-number-theory #philosophy

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