Tag: formal systems

Weak Negation in Logic

Weak negation, found in non-classical logics, asserts the absence of truth for…

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Weak Completeness in Logic

Weak completeness states that if a statement is semantically valid (true in…

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Upward Löwenheim–Skolem Theorem

The upward Löwenheim–Skolem theorem states that if a first-order theory has an…

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Type Theory

A mathematical logic and computer science framework using types to classify expressions…

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Truth Value

The truth value represents whether a proposition or statement is true or…

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The Truth-Teller Paradox

The truth-teller is a self-referential statement asserting its own truth, contrasting with…

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Theorem

A theorem is a statement proven true through logical deduction from accepted…

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Tautology: Understanding Logically True Statements

A tautology is a statement or formula that is always true, regardless…

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Syntactic Consequence in Formal Systems

Syntactic consequence defines the relationship between premises and conclusions derived through logical…

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Strong Paraconsistency: Embracing Contradictions

Strong paraconsistency posits that contradictions can be genuinely true in some possible…

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