Deductivism champions logical deduction as the foremost path to knowledge and reasoning. It prioritizes deriving specific conclusions from general principles,…
Two theories are deductively equivalent if they can prove the exact same set of theorems. This means they offer the…
Deductive validity ensures that if premises are true, the conclusion *must* be true. It's a cornerstone of logical reasoning, guaranteeing…
Deductive consequence, also known as syntactic consequence, refers to the relationship where a conclusion logically follows from premises based solely…
A deductive argument aims for conclusive proof where the conclusion is guaranteed if the premises are true. It's a cornerstone…
The deduction theorem states that if a statement can be derived from a set of premises plus an additional statement,…
Deduction is a logical process moving from general premises to a specific, certain conclusion. If premises are true, the conclusion…
A decision procedure is a systematic algorithm that determines if statements are theorems or non-theorems within a logical system. It…
A fundamental procedure in proof theory that systematically removes 'cuts' from a proof. This process simplifies proofs and demonstrates that…
A cut rule in proof theory introduces an intermediate conclusion within a deductive proof. This intermediate step is then utilized…