Saturday, May 11, 2019

abductive reasoning

https://en.wikipedia.org/wiki/Abductive_reasoning

a form of logical inferencewhich starts with an observation or set of observations then seeks to find the simplest and most likely explanation for the observations. This process, unlike deductive reasoning, yields a plausible conclusion but does not positively verify it. Abductive conclusions are thus qualified as having a remnant of uncertainty or doubt, which is expressed in retreat terms such as "best available" or "most likely". One can understand abductive reasoning as inference to the best explanation,[3] although not all uses of the terms abduction and inference to the best explanation are exactly equivalent.[4][5]

Cf.

https://en.wikipedia.org/wiki/Deductive_reasoning

Deductive reasoning ("top-down logic") 演绎推理 contrasts with inductive reasoning ("bottom-up logic") 归纳推理 in the following way; in deductive reasoning, a conclusion is reached reductively by applying general rules which hold over the entirety of a closed domain of discourse, narrowing the range under consideration until only the conclusion(s) is left. In inductive reasoning, the conclusion is reached by generalizing or extrapolating from specific cases to general rules, i.e., there is epistemic uncertainty. However, the inductive reasoning mentioned here is not the same as induction used in mathematical proofs – mathematical induction is actually a form of deductive reasoning.
Deductive reasoning differs from abductive reasoning by the direction of the reasoning relative to the conditionals. Deductive reasoning goes in the same direction as that of the conditionals, whereas abductive reasoning goes in the opposite direction to that of the conditionals.

Peirce on Abduction