Logic

Brouwerian Modal Logic

A modal logic inspired by L.E.J. Brouwer's intuitionism. It grounds possibility in constructivist mathematics, offering a unique perspective on necessity…

4 days ago

Bottom Symbol (⊥) in Logic

The bottom symbol (⊥), also known as the symbol for contradiction or absurdity, is a fundamental concept in logic. It…

4 days ago

Borderline Case

A borderline case exists at the edge of defined categories, presenting challenges for strict classification. These situations test the boundaries…

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Boolean Negation Explained

Boolean negation flips the truth value of a proposition. If a statement is true, its negation is false, and vice…

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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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Binary Function

A binary function is a fundamental concept in mathematics and logic, taking exactly two inputs to produce a single output.…

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Biconditional Statement in Logic

A biconditional statement in logic connects two propositions, asserting that they are true if and only if they have the…

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Brouwer-Heyting-Kolmogorov Interpretation

The Brouwer-Heyting-Kolmogorov (BHK) interpretation equates statement truth with proof existence, forming the core of constructivist logic. It emphasizes constructive evidence…

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Provability Predicate

A provability predicate is a mathematical function that determines whether a statement is provable within a given formal system. It's…

4 days ago