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Uniqueness quantification

In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!" or "∃=1". It is defined to mean there exists an object with the given…

Generalizations, Reduction to ordinary existential and universal quantification & Proving uniqueness

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Generalizations

Counting quantificationFirst-order logicEquivalence relationUp toEssentially unique
8 related topics

Reduction to ordinary existential and universal quantification

ExistentialUniversalPredicate logic
3 related topics

Proving uniqueness

Transitive relation
1 related topics

Overview

MathematicsLogicQuantificationThere existsAll objects
6 related topics

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Overview

Proving uniqueness

Reduction to ordinary existential and universal quantification

Generalizations

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Uniqueness quantification

Nodes25
Edges24
Triples6
Avg. degree1.92
Density0.08
Components1

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Uniqueness quantification

Top relations

related to Generalizations · 5
Uniqueness quantification → For, Loosening, The, This, Uniqueness
related to Reduction to ordinary existential and universal quantification · 1
Uniqueness quantification → Uniqueness

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Important terminology

uniqueness displaystyle quantification exists unique object one logic existential satisfying condition example exactly equal two property equality mathematics existence first

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Uniqueness quantificationrelated to GeneralizationsThe0.60section
Uniqueness quantificationrelated to GeneralizationsThis0.60section
Uniqueness quantificationrelated to GeneralizationsUniqueness0.60section
Uniqueness quantificationrelated to GeneralizationsLoosening0.60section
Uniqueness quantificationrelated to GeneralizationsFor0.60section
Uniqueness quantificationrelated to Reduction to ordinary existential and universal quantificationUniqueness0.60section

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