propositional logic

Conjunction in Logic

A conjunction, often represented by 'and', is a logical connective. It asserts that two or more statements are true simultaneously,…

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Conditional Proof in Logic

A conditional proof is a logical technique used to establish a conditional statement. It involves assuming the antecedent and deducing…

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Conditional Logic

Conditional logic explores the properties of the conditional connective, a fundamental concept in reasoning. It examines how propositions relate through…

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Conditional Statements in Logic

A conditional statement, often called an 'if-then' statement, establishes a logical link between two propositions. It asserts that if the…

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Compound Statement in Logic

A compound statement combines two or more simpler statements using logical connectives. This allows for building complex logical propositions from…

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Compound Formula

A compound formula is a logical expression constructed from simpler statements and logical operators. It allows for the representation of…

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Classical Logic

Classical logic, founded on bivalence, non-contradiction, and excluded middle, is the traditional system for propositional and predicate logic. It forms…

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Categorical Proposition

A proposition linking two categories, stating whether some or all of one are part of the other. Crucial for syllogisms…

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Boethius’ Theses

Boethius' theses are two formulas in propositional logic: (A → B) → ¬ (A → ¬ B) and (A →…

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Bivalence: The Principle of True or False

Bivalence asserts that every proposition is definitively either true or false, a cornerstone of classical logic. It excludes the possibility…

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