A logical argument that shows a statement is true is called a ______________________
Question
A logical argument that shows a statement is true is called a ______________________
Solution
A logical argument that shows a statement is true is called a proof. In mathematics and logic, a proof is a sequence of statements or logical deductions that lead to a conclusion based on axioms, definitions, and previously established results. Proofs are fundamental in establishing the validity of propositions and theorems. They can take various forms, such as direct proofs, indirect proofs, proofs by contradiction, or constructive proofs. Each type of proof has its unique approach to demonstrating that a given statement holds true under certain conditions. In essence, proofs provide the formal structure that underpins mathematical reasoning and ensures that conclusions drawn from them are reliable and verifiable.
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