1. Mathematics and Rigorous Proof
... extent to which rigorous proofs can be achieved in mathematics and history by examining their reliance on reasoning and imagination. Rigorous proof in mathematics is often derived from deductive and inductive reasoning. Deductive reasoning is the premise to achieve complete certainty: it is defined as "reasoning from general to particular" (Lagemaat 121). When applied to a system of numbers, real ... numbers can be narrowed down to different factors: irrational, rational, and whole numbers (Number). Through rigorous proof, this premises would then follow deductive reasoning: since any n...
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- Grade Level: Undergraduate