Category:Existential Quantifier
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This category contains results about Existential Quantifier.
Definitions specific to this category can be found in Definitions/Existential Quantifier.
The symbol $\exists$ is called the existential quantifier.
It expresses the fact that, in a particular universe of discourse, there exists (at least one) object having a particular property.
That is:
- $\exists x:$
means:
- There exists at least one object $x$ such that ...
In the language of set theory, this can be formally defined:
- $\exists x \in S: \map P x := \set {x \in S: \map P x} \ne \O$
where $S$ is some set and $\map P x$ is a propositional function on $S$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
E
U
Pages in category "Existential Quantifier"
The following 12 pages are in this category, out of 12 total.
D
- De Morgan's Laws (Predicate Logic)
- De Morgan's Laws (Predicate Logic)/Assertion of Existence
- De Morgan's Laws (Predicate Logic)/Assertion of Universality
- De Morgan's Laws (Predicate Logic)/Denial of Existence
- De Morgan's Laws (Predicate Logic)/Denial of Universality
- De Morgan's Laws (Predicate Logic)/Denial of Universality/Formulation 1
- De Morgan's Laws (Predicate Logic)/Denial of Universality/Formulation 2
- De Morgan's Laws (Predicate Logic)/Denial of Universality/Formulation 2/Forward Implication
- De Morgan's Laws (Predicate Logic)/Denial of Universality/Formulation 2/Reverse Implication