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Do we ever reason about a non-associative algebra without embedding it in an associative algebra?

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#abstract-algebra #philosophy #associativity #nonassociative-algebras
61
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Conceptual Question regarding Shannon Entropy and bits

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#information-theory #philosophy #bit-strings
77
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Is there a term for the idea that mathematical objects are defined by their relationships?

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#euclidean-geometry #definition #philosophy
99
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Finitists reject the Axiom of Infinity - are there groups who reject the others?

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#logic #soft-question #set-theory #philosophy
80
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What is the logical system of Tractatus Logico-Philosophicus?

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#logic #philosophy
255
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doesn't the independency phenomenon make a case for non-classical logic?

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#logic #set-theory #philosophy
1.3k
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Is mathematics invented or discovered?

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#soft-question #philosophy
2.1k
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Can mathematics get from other sciences what it got from physics?

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#soft-question #computer-science #philosophy #book-recommendation #biology
1.8k
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Does taking courses in mathematics give any help for mathematical logic?

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#logic #education #advice #philosophy
81
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What does if-then has to do with not being true?

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#logic #philosophy #foundations
227
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Sheaves in Philosophy

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#reference-request #philosophy
1.8k
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What's the difference between "unprovable" and "undecidable"?

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#logic #philosophy #provability
2k
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What is the difference between a counter-intuitive statement and a paradox?

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#logic #terminology #philosophy #paradoxes
4.7k
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Why does randomness exhibit a pattern in the long run?

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#statistics #probability-theory #physics #philosophy
18.9k
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Why is mathematical induction a valid proof technique?

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#discrete-mathematics #logic #induction #philosophy

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