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Why is the empty set finite?

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#general-topology #relations #equivalence-relations
52
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A simple proof about finite subsets of a set

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#elementary-set-theory #relations
5k
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$5 \mid n^2 - m^2$ is an equivalence relation

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#elementary-set-theory #relations #equivalence-relations
363
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Does "=" have to be interpreted as equality?

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#relations #model-theory #proof-theory
75
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Is there a name for this type of relation?

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#elementary-set-theory #terminology #relations
57
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Identifying the constants and variables in statements

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#functions #relations
154
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How to denote the set of binary relations of which a particular ordered pair is a member?

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#abstract-algebra #elementary-set-theory #category-theory #relations #relation-algebra
78
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Preordering on a set

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#elementary-set-theory #relations
288
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Composition $R \circ R$ of a partial ordering $R$ with itself is again a partial ordering

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#elementary-set-theory #relations #order-theory
3.4k
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Union of two partial orderings

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#relations #order-theory
1.6k
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Minimum Equivalence Relation

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#elementary-set-theory #relations #equivalence-relations
133
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Question concerning satisfiability in a certain Kripke model

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#logic #relations #modal-logic #provability #kripke-models
182
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Is there any binary relation operator that has these properties in any objects?

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#discrete-mathematics #relations
3.7k
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Let $R$ be an equivalence relation on a set $A$, $a,b \in A$. Prove $[a] = [b]$ iff $aRb$.

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#proof-writing #relations #equivalence-relations
391
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Is this alternative definition of 'equivalence relation' correct?

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#relations #equivalence-relations

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