Now induction, or rather the syllogism which springs out of induction, consists in establishing syllogistically5 a relation between one extreme and the middle by means of the other extreme, e.g. if B is the middle term between A and C, it consists in proving through C that A belongs to B. For this is the manner in which we make inductions6. For example let A stand for long-lived, B for bileless, and C for the particular long-lived animals, e.g. man, horse, mule7. A then belongs to the whole of C: for whatever is bileless is long-lived. But B also (’not possessing bile’) belongs to all C. If then C is convertible8 with B, and the middle term is not wider in extension, it is necessary that A should belong to B. For it has already been proved that if two things belong to the same thing, and the extreme is convertible with one of them, then the other predicate will belong to the predicate that is converted. But we must apprehend9 C as made up of all the particulars. For induction proceeds through an enumeration10 of all the cases.
Such is the syllogism which establishes the first and immediate11 premiss: for where there is a middle term the syllogism proceeds through the middle term; when there is no middle term, through induction. And in a way induction is opposed to syllogism: for the latter proves the major term to belong to the third term by means of the middle, the former proves the major to belong to the middle by means of the third. In the order of nature, syllogism through the middle term is prior and better known, but syllogism through induction is clearer to us.
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1 conversion | |
n.转化,转换,转变 | |
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2 syllogism | |
n.演绎法,三段论法 | |
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3 persuasion | |
n.劝说;说服;持有某种信仰的宗派 | |
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4 induction | |
n.感应,感应现象 | |
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5 syllogistically | |
adv.三段论法式地,演绎式地 | |
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6 inductions | |
归纳(法)( induction的名词复数 ); (电或磁的)感应; 就职; 吸入 | |
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7 mule | |
n.骡子,杂种,执拗的人 | |
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8 convertible | |
adj.可改变的,可交换,同意义的;n.有活动摺篷的汽车 | |
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9 apprehend | |
vt.理解,领悟,逮捕,拘捕,忧虑 | |
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10 enumeration | |
n.计数,列举;细目;详表;点查 | |
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11 immediate | |
adj.立即的;直接的,最接近的;紧靠的 | |
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