The Game of Logic by Lewis Carroll
page 30 of 121 (24%)
page 30 of 121 (24%)
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exist at all, but merely that, if any DID exist, they WOULD be
selfish. The other is that, when a Proposition begins with "some" or "no", and contains more that two Attributes, these Attributes may be re-arranged, and shifted from one Term to the other, "ad libitum." For example, "some abc are def" may be re-arranged as "some bf are acde," each being equivalent to "some Things are abcdef". Again "No wise old men are rash and reckless gamblers" may be re-arranged as "No rash old gamblers are wise and reckless," each being equivalent to "No men are wise old rash reckless gamblers." 2. Syllogisms Now suppose we divide our Universe of Things in three ways, with regard to three different Attributes. Out of these three Attributes, we may make up three different couples (for instance, if they were a, b, c, we might make up the three couples ab, ac, bc). Also suppose we have two Propositions given us, containing two of these three couples, and that from them we can prove a third Proposition containing the third couple. (For example, if we divide our Universe for m, x, and y; and if we have the two Propositions given us, "no m are x'" and "all m' are y", containing the two couples mx and my, it might be possible to prove from them a third Proposition, containing x and y.) In such a case we call the given Propositions 'THE PREMISSES', the |
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