Logic

Existential Variable in Predicate Logic

An existential variable is a placeholder in predicate logic, bound by an existential quantifier. It signifies the existence of at…

5 days ago

Existential Quantifier

The existential quantifier (∃) in predicate logic asserts that at least one element within a domain satisfies a given predicate.…

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Existential Introduction

A rule of inference in logic that allows the introduction of an existential quantifier (∃). It asserts the existence of…

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Existential Instantiation: Inferring Existence from Generic Statements

Existential instantiation is a logical rule enabling the inference of a specific individual's existence from a generic existential statement. It's…

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Existential Import in Logic

Existential import refers to the assumption that a statement implies the existence of its subject. This concept is crucial in…

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Existential Generalization

Existential generalization is a rule of inference that permits concluding that something exists with a specific property. This conclusion is…

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Existence Predicate

An existence predicate, often found in free logics, is a logical construct that specifically asserts the existence of the object…

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Ex Falso Quodlibet: The Principle of Explosion

Ex falso quodlibet, or the principle of explosion, is a logical tenet where any conclusion, true or false, can be…

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Exclusive Disjunction (XOR)

Exclusive disjunction, or XOR, is a logical operation that yields true only when exactly one of its inputs is true.…

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Exclusion Negation in Three-Valued Logic

Exclusion negation in three-valued logic strictly denies the truth of a proposition. Unlike constructive negation, it doesn't assert an opposite…

5 days ago