existential operator
- noun
- /ɪɡˈzɪstɛnʃəl ˈɒpəreɪtə/
- Specialized
:
operador existencial
- An existential operator asserts that something exists.
Examples
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The mathematician explained that the symbol existential operator signifies the existence of at least one solution to the equation.
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In logic, the existential operator is used to express that there is at least one element satisfying a given condition.
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In formal proofs, the existential operator is usually written as the symbol '∃'.
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The existential operator is used in logic to show that some value satisfies a specific condition.
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The statement 'There exists an x such that x > 0' uses the existential operator.
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The existential operator is crucial in predicate logic.
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In set theory, using the existential operator allows you to prove that a particular set contains at least one member.
Synonyms
1
8.1
A word like some or all that shows how many items a logical statement refers to
1
3.5
A sign used in math to show an operation, number, or relation
A symbol or word in logic that shows at least one thing meets a condition
A word or symbol that shows how many things a sentence talks about, like 'some', 'all'
Surface Forms
Morphology
The noun phrase is compositionally built: 'existential' (concerned with existence) modifies 'operator' (a symbol or function), so the phrase straightforwardly denotes an operator/symbol expressing existence (e.g. ∃). Although the term is technical, the modifier+noun pattern is regular and cross-linguistically transparent, so a learner who knows both constituents can infer the intended logical meaning.
Etymology
Existential operator gets its name from the part existential, which comes from 'exist' meaning 'there is', and the part operator, a word for something that shows or marks an action. Imagine a teacher pointing to one student and saying 'there exists' someone who fits the rule; the operator is the mark like '∃' that tells us 'at least one' is true, so the term means 'a sign that says there is at least one'.