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Lars P. Syll — Abduction – the induction that constitutes the essence​ of scientific reasoning

Abduction in this sense is reasoning to the best explanation based on relevant information available. (The use of "abduction" by C. S. Peirce, the originator of the term, is somewhat different. See abductive reasoning) Math is an instrument of deduction. Deductive reasoning proceeds logically from a stipulated starting point, e.g., axioms, postulates, using deductive logic or mathematics. Abduction involves constructing conceptual or mathematical models based on what is given. To...

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