An Intermediate Logic By J Welton And a J Monahan

Cover An Intermediate Logic By J Welton And a J Monahan
An Intermediate Logic By J Welton And a J Monahan
J James Welton
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Either not A or not B. Complex Destructive. The obverted contrapositive of the major premise being taken, we get //' not C, then not A, and if not D, then not B, Either not C or not D, . '. Either not A or not B ; which is the complex constructive form with negative elements. This convertibility may be illustrated by an example. A man in bad health, and who has no income but his salary, may argue that his recovery is hopeless, either in the simple destructive dilemma: 'If I am to regain health,... I must both give up work and live generously ; but I cannot do both of these (that is, either I cannot do one, or I cannot do the other) ; therefore, I cannot regain health ' ; or in. The simple constructive: ' If I either continue to work, or live meagrely, I cannot regain health ; but I must either continue to work or live meagrely ; therefore, I cannot regain health. ' (ii) Rebutting a Dilemma. The conclusiveness of a dilemma depends upon material, as well as formal, con- siderations. Not only must the connexion of antecedent and consequent be a real one, but the disjunction in the minor premise must exhaust every possible alternative.

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