logic

De Morgan Duality Explained

De Morgan duality reveals the relationship between AND and OR logical operators. It states that negating a conjunction equals the…

5 days ago

Degree-Theoretic Semantics

Degree-theoretic semantics measures sentence truth in degrees, moving beyond binary true/false. This approach is vital for fuzzy logic and theories…

5 days ago

Deflationism

Deflationism posits that 'true' has no substantive property. Its role is primarily linguistic, enabling assertions and endorsements without implying a…

5 days ago

Deductively Equivalent Theories

Two theories are deductively equivalent if they can prove the exact same set of theorems. This means they offer the…

5 days ago

Deductive Consequence

Deductive consequence, also known as syntactic consequence, refers to the relationship where a conclusion logically follows from premises based solely…

5 days ago

Deduction Theorem

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

5 days ago

Deductive Reasoning Explained

Deduction is a logical process moving from general premises to a specific, certain conclusion. If premises are true, the conclusion…

5 days ago

Decision Procedure

A decision procedure is a systematic algorithm that determines if statements are theorems or non-theorems within a logical system. It…

5 days ago

Cut Elimination

A fundamental procedure in proof theory that systematically removes 'cuts' from a proof. This process simplifies proofs and demonstrates that…

5 days ago

Cut in Proof Theory

A cut rule in proof theory introduces an intermediate conclusion within a deductive proof. This intermediate step is then utilized…

5 days ago