deduction

Derivable Rule in Logic

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

4 days ago

Understanding Corollaries in Mathematics and Logic

A corollary is a statement that follows directly from a proven theorem or proposition with minimal effort. It's a logical…

4 days ago

Consequence Relation: Understanding Logical Necessity

A consequence relation links sets of statements. If the premises are true, the consequences must also be true, establishing a…

4 days ago

Conditional Proof in Logic

A conditional proof is a logical technique used to establish a conditional statement. It involves assuming the antecedent and deducing…

4 days ago

Understanding Axioms: Foundational Truths in Logic and Mathematics

An axiom is a fundamental statement accepted as true without proof. It serves as the bedrock for logical reasoning and…

4 days ago

Antilogism: Understanding Logical Contradictions

An antilogism is a syllogism with three premises that lead to a contradiction. It demonstrates the inconsistency of the initial…

4 days ago