classical

Free Logic

Free logic is a formal system that permits terms without existing referents, unlike classical logic, which presumes all terms denote…

2 weeks ago

First-Degree Entailment (FDE)

FDE is a logical system that allows propositions to be both true and false, or neither, rejecting the law of…

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Explosion Principle in Logic

The Explosion Principle, also known as ex falso quodlibet, states that from a contradiction, any proposition can be logically derived.…

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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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The Law of Excluded Middle

The law of excluded middle states that for any proposition, it is either true or its negation is true. There…

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Double Negation Introduction

The principle of double negation introduction states that for any proposition P, P implies the double negation of P (¬¬P).…

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Double Negation Elimination

Double negation elimination is a core principle in classical logic. It states that a statement preceded by two negations is…

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Double Negation

Double negation is the logical principle where applying negation twice to a statement returns the original statement. In classical logic,…

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Disjunctive Syllogism

A valid deductive argument form where if a disjunction (P or Q) is true and one disjunct (P) is false,…

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Disjunction Property

The disjunction property in intuitionistic logic asserts that if a statement P or Q is provable, then either P alone…

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