formal logic

Conversion in Logic

Conversion is a logical operation that swaps the subject and predicate of a categorical proposition. This process can alter the…

5 days ago

Contraposition in Logic

Contraposition is a logical principle establishing the equivalence between a conditional statement and its contrapositive. It transforms 'If P, then…

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Conservative Extension in Logic and Mathematics

A conservative extension adds new axioms or rules to a theory without altering the truth of existing statements. This ensures…

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Consequentia Mirabilis: The Principle of Indirect Proof

Consequentia mirabilis, a classical logic principle, asserts that if the negation of a statement leads to a contradiction, the original…

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Connexive Logic

Connexive logic explores the principles of connection between propositions, focusing on relationships like a statement and its contrapositive. It aims…

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Conjunction Introduction: Rule of Inference

Learn about the conjunction introduction, a fundamental rule of inference in logic. It permits combining two separate statements into a…

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Conjunction Elimination

Conjunction elimination is a fundamental rule of inference in propositional logic. It permits the deduction of a single conjunct 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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Causal Modal Logic

Causal modal logic extends standard modal logic with modalities for necessity, possibility, and causal relations. It enables formal analysis of…

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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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