irreflexive relation

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irreflexive relation

logic

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classification of dyadic relations

In formal logic: Classification of dyadic relations
…ϕ is said to be irreflexive (example: “is greater than”). If ϕ is neither reflexive nor irreflexive—i.e., if (∃x)ϕxx · (∃x)∼ϕxx —then ϕ is said to be nonreflexive (example: “admires”).
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