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Axiomatic combinatorics

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#combinatorics #self-learning #axioms #research
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Proving "If there exists a line containing exactly $n$ points, then any line contains exactly $n$ points" from basic axioms of incidence

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#geometry #logic #axioms
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Is there an area of mathematics about the study of systems of laws?

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#axioms
28
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Proving well ordering principle with well ordering principle

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#integers #axioms #well-orders
239
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Is this proof of "$a\neq0\Rightarrow a^{-1}\neq0$" valid?

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#solution-verification #axioms
242
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Connection between the many different definitions of the Axiom of Choice

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#elementary-set-theory #set-theory #axiom-of-choice #axioms
62
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axioms - How do i prove the following statement?

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#proof-writing #solution-verification #axioms
225
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Is it necessary to show 0 is included in a set to show it is a vector subspace?

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#vector-spaces #commutative-algebra #axioms #associativity
82
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Clasification set theory axioms

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#logic #set-theory #axioms
313
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Gödel's Incompleteness Theorem and Theories which are not recursively axiomatizable

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#logic #first-order-logic #axioms #incompleteness
96
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What is the deeper relationship between fields of sets and topological spaces?

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#abstract-algebra #general-topology #axioms
136
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Axiom of Specification

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#set-theory #axioms
111
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Peano axioms set theory

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#set-theory #arithmetic #axioms #foundations #peano-axioms
153
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Is this Class\set theory equivalent to MK or NBG?

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#set-theory #first-order-logic #axioms #alternative-set-theories
101
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Von Neumann–Morgenstern: compare coefficients in Archimedean axiom

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#axioms #economics #decision-theory #utility

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