classical logic

Term Logic

Term logic, central to Aristotelian thought, analyzes propositions by focusing on the relationships between terms and the inferences derived from…

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Syllogistic Terms: Major, Minor, and Middle

A syllogism features three key terms: the major term (conclusion's predicate), the minor term (conclusion's subject), and the middle term…

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Syllogistic Figure

The syllogistic figure defines a syllogism's structure based on the middle term's placement. There are four distinct figures, each impacting…

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Strong Paraconsistency: Embracing Contradictions

Strong paraconsistency posits that contradictions can be genuinely true in some possible worlds. This contrasts with weak paraconsistency, which views…

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Pluralism

Pluralism, particularly logical pluralism, suggests that there can be multiple, distinct, and equally valid logical systems. This challenges the traditional…

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Peirce’s Law

Peirce's law, ((P → Q) → P) → P, is a fundamental principle in logic. It is valid in classical…

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Paradoxes of Material Implication

These paradoxes highlight the counterintuitive nature of the material conditional in logic. They occur when the antecedent is false or…

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Negation Elimination in Natural Deduction

Negation elimination is a fundamental rule in natural deduction. It permits inferring a conclusion by negating a premise, provided it…

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Law of Non-Contradiction

A cornerstone of classical logic, the law of non-contradiction asserts that a statement and its negation cannot both be true…

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Intermediate Logic

Intermediate logic systems bridge the gap between intuitionistic and classical logic. They offer greater expressive power than intuitionistic logic while…

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