1. Mathematics and Rigorous Proof
Rigorous proof in mathematics is often derived from deductive and inductive reasoning. ... In addition, mathematics has an inductive reasoning component, which is "reasoning from particular to general" (Lagemaat 121). Mathematicians use inductive reasoning to expand on axioms to form truths. ... Historians use inductive reasoning to formulate new theories by utilizing sufficient evidence. ... Therefore, despite proofs used through reasoning, inductive reasoning does not always maintain complete certainty. ...
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- Grade Level: Undergraduate