syntactic consequence

Syntactic Consequence in Formal Systems

Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…

4 days ago

Proof-Theoretic Consequence

Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on the structure of proofs within formal systems. It…

4 days ago

Logical Consequence

Logical consequence describes the relationship where true premises guarantee a true conclusion due to the statements' logical structure. It's fundamental…

4 days ago

Formal Consequence: Logic’s Pure Structure

A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts…

4 days ago

Deductive Consequence

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

4 days ago