formal logic

Discharge in Logical Derivation

Discharge is the act of eliminating an assumption within a logical derivation. It's a crucial step, often used to prove…

5 days ago

Dilution in Logic

Dilution in logic weakens a statement by adding disjunctive clauses. These additions don't change the original statement's truth value, making…

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Designated Value in Logic

A designated value in logic functions similarly to truth in classical systems. It ensures that if premises hold a designated…

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Derivable Rule in Logic

A derivable rule is a logical rule that can be derived from the existing axioms and inference rules of a…

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Deontic Modal Logic

Deontic modal logic is a specialized field within modal logic that rigorously examines concepts of obligation, permission, and prohibition. It…

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Deductivism: The Power of Logical Deduction

Deductivism champions logical deduction as the foremost path to knowledge and reasoning. It prioritizes deriving specific conclusions from general principles,…

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Deductive Validity

Deductive validity ensures that if premises are true, the conclusion *must* be true. It's a cornerstone of logical reasoning, guaranteeing…

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Deduction Theorem

The deduction theorem states that if a statement can be derived from a set of premises plus an additional statement,…

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Decidable Theory

A theory with a decision procedure, allowing algorithmic determination of truth or falsehood for any statement within its framework. This…

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Curry’s Paradox

Curry's paradox is a logical paradox that emerges from self-referential statements asserting their own unprovability. It challenges the consistency of…

5 days ago