Synopsis
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 edition. Excerpt: ...Again, the fallacy of denying the antecedent is equivalent to the illicit process of the major. Our former example (p. 163) may thus be represented: "A science which furnishes the mind with a multitude of useful facts deserves cultivation; but Logic is not such a science; therefore Logic does not deserve cultivation." This apparent syllogism is of the mocd AEE in the first figure, which breaks the fourth rule of the syllogism, because the major term, deserving cultivation, is distributed in the negative conclusion, but not in the affirmative major premise. We now pass to the consideration of the disjunctive proposition, which instead of a single predicate has several alternatives united by the disjunctive conjunction or, any one of which may be affirmed of the subject. "A member of the House of Commons is either a representative of a county, or of a borough, or of a University," is an instance of such a proposition, containing three alternatives; but there may be any number of alternatives from two upwards. The disjunctive syllogism consists of a disjunctive major premise with a categorical proposition,.either affirmative or negative, forming the minor premise. Thus arise two moods, of which the affirmative mood is called by the Latin words modus ponendo tollens (the mood which by affirming denies), and may be thus stated: A is either B or C, But A s£; Therefore A is not C. This form of argument proceeds on the supposition that if one alternative of a disjunctive proposition be held true, the others cannot also be true. Thus " the time of year must be either spring, summer, autumn or winter," and if it be spring it cannot be summer, autumn or winter; and so on. But it has been objected by Whately, Man-sel, Mill, as well as many...
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