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Axiom of regularity and constructible sets

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#set-theory #axioms
372
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If $A$ is a set then $A/R$ is a set.

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#set-theory #axioms
123
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A fundamental question about relations between axioms

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#set-theory #euclidean-geometry #axioms #foundations #peano-axioms
1k
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8 Vs 10 Axioms / Properties of a Vector Space: Should Closure of Addition and Scalar Multiplication Be Included?

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#linear-algebra #vector-spaces #axioms
307
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How can axioms be not always true?

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#logic #axioms
166
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Question of proof of archimedean property

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#discrete-mathematics #proof-explanation #real-numbers #axioms
146
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A question about Dedekind-infinite sets and Peano natural integers.

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#logic #axiom-of-choice #axioms #natural-numbers #peano-axioms
132
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Prove using the axioms that $x>0$ implies $-x<0$

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#real-analysis #analysis #proof-writing #real-numbers #axioms
265
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Prove using the axioms that the square of any number is nonnegative

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#real-analysis #analysis #proof-writing #real-numbers #axioms
203
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Brouwer's theorem proof using Category theory

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#category-theory #fixed-point-theorems #axioms
83
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Axiom of regularity and Axiom of infinity

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#elementary-set-theory #axioms
585
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Principia Mathematica and Axioms

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#logic #book-recommendation #axioms #philosophy
137
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If I were to add the axiom schema of (restricted) comprehension to my "reduced" set theory, would I be able to prove any new propositions?

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#set-theory #axioms
479
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Is this theory as strong as ZFC?

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#logic #set-theory #axioms #foundations #alternative-set-theories
326
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Are we still Researching the Foundations of Math?

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#soft-question #set-theory #axioms #foundations #research

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