sylleptic, sylleptical

The American Dictionary and Cyclopedia · 1910 · p. 25
[SYLLEPSIS.] Pertaining or relating to, or implying syllepsis. syl-lěp-tic-al-ly, adv. [ Eng.sylleptical; -ly.] In a sylleptical manner; by way of syllepsis. syl-11-dæ, s. pl. [Mod. Lat. syll ( is ); Lat. fem. pl. adj. suff. -idæ.] Zool .: A family of Errant Annelids, in some cla ifications separated from the Nereide (q. v.). Genera: Syllis, Grubea, Dujardinia, and Schmardia. syl-lis, s . [Gr. psellion =a necklace. ( McNicoll .)] Zool .: The type-genus of Syllide (q. v.). Head bilobed, with four transverse eyes and three thin, moniliform tentacles; body elongate, slender, with numerous segments; proboscis without jaws. sỹ1-10-ġişm, *sil-o-gis me, s . [O. Fr. silogisme , sillogisme, syllogisme , from. Latin syllogismum , acc us. of syllogism us ; Gr. syllogismos =a reckoning together or up, reasoning, syllogism, from syllogizo mai to reckon together, to reason: syl , for syn = with, together, and logizomai to reckon; logos =a word, reason, reckoning; Fr. syllogisme .] Logic : 1. An argument expre ed in strict logical form, so that its conclusivene is manifest from the structure of the expre ion alone, without any regard to the meaning of the terms. ( Whately .) In a perfect syllogism there must be three, and not more than three propositions, the last of which, containing the matter to be proved, is called the conclusion; the other two, containing the means by which the conclusion is arrived at, are called the premises. The subject of the conclusion is called the third term, with which the minor and major terms are compared in the premises, is called the middle term. The premise which brings into relation the major and the middle terms is called the major premise, and that which brings the minor the minor premise. Thus, in the syllogism: term, and its predicate the major term; and middle term into a similar relation is called Major Premise. All A is B. Minor Premise. All Cis A. Conclusion. All C is B. Bis the major, C the minor, and A the middle term. Substituting words for symbols, Major Premise. All ruminants are quadrupeds. Minor Premise. All deer are ruminants. Conclusion... All deer are quadrupeds. This syllogism is valid, because the conclusion logically follows from the premises. The conclusion is, moreover, true, because the premises from which it logically follows are true. The figure of a syllogism consists in the situation middle term with respect the major and minor. In the first figure the middle is the subject of the major and the predicate of the minor; in the second it is the predicate, and in the third the subject of both premises; the fourth figure is the reverse of the first, the middle term being the predicate of the major and the subject of the minor. The symbolic names of these figures are commemorated in the following mnemonic hexameters: 1. BArbArA, CElArEnt, DARII, FERIOque prior is. 2. CESARE, CAmEstrEs, FEstInO, BArOkO, secundæ. 3. Tertia DArAptI, DIsAmIs, DAtIsI, FElApton, BOKArdO, FErIsOn, habet. IMG:content-0714.png:[blocks in formation] The American Dictionary and Cyclopedia IMG:content-0716.png:[blocks in formation] 3. No term must be distributed in the conclusion which was not distributed in one of the premises. 4. From negative premises nothing can be inferred. 5. If one premise be negative the conclusion must be negative. *2. The act or art of syllogizing, or of reasoning syllogistically. "A man knows first, and then he is able to prove syllogistically. So that syllogism comes after knowledge, and then a man has little or no need of it."-Locke: Human Understanding, bk. iv., ch. xvii. syl-lô-gist-ic, *syl-lô-gist-ic-al, adj . [Lat. syllogistic us ; Gr. syllogist i kos .] Pertaining to or consisting of a syllogism, or of the form of reason. ing by syllogisms. "No syllogistical reasoning can be right and conclusive but what has, at least, one general proposition to it."Locke: Hum. Underst ., bk. iv., ch. xvii. syl-lô-gist-ic-al-lý, adv . [Eng. syllogistical ; -ly .] In a syllogistic manner; in the form of, or by means of syllogism. "Well; be the consequence what it will, you are attempting to prove your point syllogistically ."- Water land: Works , iii. 21. [ Eng.syllogiz ( e ); -ation .] *syl-lô-gì-zā-tion,s. A reasoning by means of syllogisms. "The soul, and its powers both of intuition and syllogi. zati on."-Harris: Three Treat., p. 265. (Note.)
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