Studies And Exercises in Formal Logic Including a Generalisation of Logical Pro
Studies And Exercises in Formal Logic Including a Generalisation of Logical Pro
John Neville Keynes
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M indicates that in reduction the premisses have to be transposed {metathesis praemissarum); as just shewn in the case of Bramantip, and also in the case of Camestres. c signifies that the mood is to be reduced indirectly {i. E. , by 1 This peculiarity in the signification of s and p when they are final letters is sometimes overlooked. The point to be noted is that the conclusion of the syllogism originally given is not, like the original premisses, a datum from which we set out, but a result t...hat we have to reach. It follows that the conclusion to be manipulated, if any, must be the conclusion of the syllogism obtained by reduction, not the conclusion of the original syllogism. This is clearly shewn in the case of Camestres by the method adopted in the last pre- ceding note to illustrate the reduction of Camestres to Celarent. The reduction of Disamis, Bramantip, ('mi/rue*, Dimaris to figure 1 might be illustrated similarly. - See the last preceding note. :) Compare, however, Hamilton, Logic, i.
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