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minor premise

noun Logic.
  1. See under syllogism(def 1).
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Origin of minor premise

First recorded in 1720–30

syllogism

[sil-uh-jiz-uh m]
noun
  1. Logic. an argument the conclusion of which is supported by two premises, of which one (major premise) contains the term (major term) that is the predicate of the conclusion, and the other (minor premise) contains the term (minor term) that is the subject of the conclusion; common to both premises is a term (middle term) that is excluded from the conclusion. A typical form is “All A is C; all B is A; therefore all B is C.”
  2. deductive reasoning.
  3. an extremely subtle, sophisticated, or deceptive argument.
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Origin of syllogism

1350–1400; < Latin syllogismus < Greek syllogismós, equivalent to syllog- (see syllogize) + -ismos -ism; replacing Middle English silogime < Old French < Latin, as above
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for minor premise

minor premise

noun
  1. logic the premise of a syllogism containing the subject of its conclusion
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syllogism

noun
  1. a deductive inference consisting of two premises and a conclusion, all of which are categorial propositions. The subject of the conclusion is the minor term and its predicate the major term; the middle term occurs in both premises but not the conclusion. There are 256 such arguments but only 24 are valid. Some men are mortal; some men are angelic; so some mortals are angelic is invalid, while some temples are in ruins; all ruins are fascinating; so some temples are fascinating is valid. Here fascinating, in ruins, and temples are respectively major, middle, and minor terms
  2. a deductive inference of certain other forms with two premises, such as the hypothetical syllogism, if P then Q; if Q then R; so if P then R
  3. a piece of deductive reasoning from the general to the particular
  4. a subtle or deceptive piece of reasoning
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Word Origin

C14: via Latin from Greek sullogismos, from sullogizesthai to reckon together, from sul- syn- + logizesthai to calculate, from logos a discourse
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Word Origin and History for minor premise

syllogism

n.

late 14c., from Old French silogisme "a syllogism," from Latin syllogismus, from Greek syllogismos "a syllogism," originally "inference, conclusion, computation, calculation," from syllogizesthai "bring together, premise, conclude," literally "think together," from syn- "together" (see syn-) + logizesthai "to reason, count," from logos "a reckoning, reason" (see logos).

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Online Etymology Dictionary, © 2010 Douglas Harper