Deductivism champions logical deduction as the foremost path to knowledge and reasoning. It prioritizes deriving specific conclusions from general principles,…
A deductive argument aims for conclusive proof where the conclusion is guaranteed if the premises are true. It's a cornerstone…
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 counterexample is an instance that disproves a general statement or demonstrates the invalidity of an argument form. It shows…
A corollary is a statement that follows directly from a proven theorem or proposition with minimal effort. It's a logical…
A logical argument form where two conditional statements and the disjunction of their antecedents lead to the disjunction of their…
Commutativity is a fundamental property in mathematics where the order of operands in a binary operation does not affect the…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…
A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…