## Duction

Duction

Inductive Reasoning in Logic

From Encyclopedia Britannica 1955 ed.:

Reasoning in support of a general proposition by consideration of particular cases which fall under it. Aristotle calls induction “a passage from individuals to universals.”

Examples:

Deductive Reasoning in Logic

deduct - To lead out from

A rigorous proof or derivation, of one statement (the conclusion) from one or more statements (the premisses); i.e, a chain of statements, each of which is either a premiss or follows from a statement occurring earlier in the proof. If "A "follows from " B in the sense intended, the conjunction of B and the negation of A (in sumbols, B.~A) must be self-contradictory-a condition that does not apply to induction. (Buan adequate analysis of what is meant by “following from” or “being rigorously implied by” is a difficult technical problem.) This modern use of “deduction” is a generalization of Aristotle’s syllogismos (in Prior Analytics). But a syllogism (q.v.) is now recognized to be merely a special case of a decuction. Also the traditional view that decduction proceeds “from the general to the specific” or “from the universal to the particular” has been abandoned as incorrect by most logicians. Some experts regard all valid inference as deductive in form, and for this and other reasons reject the supposed contrast between deduction and induction.

From the logs: http://btcbase.org/log/2016-03-29#1441833

Examples:

Reductive Reasoning

This entry was posted
on Friday, September 9th, 2016 at 11:34 p.m. and is filed under Uncategorized.
You can follow any responses to this entry through the RSS 2.0 feed.
You can leave a response, or trackback from your own site.