A First book in Logic

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A form which does not distribute its subject is said to be particular. By results al- ready established I and O are particular forms. The facts that have now been made matters of definition are conveniently remembered by means of the mnemonic scheme which is given below, the distrib- uted terms being printed in black letter.
Affirmative Universal A (a 6) Particular I (a 6) Negative E (a 6) O(afc) Corollary. A particular form does not imply a universal form.
This theorem will be proven by showin
...g that every one of the moods in question are declared invalid by one or more of the rules. Thus, OA in both figures is thrown out by the third rule and IE, IA and OE in both figures by the first rule.
102 RULES OF IMMEDIATE INFERENCE A generalization which is based upon an examina- tion of specific instances is said to be arrived at by induction. If the instances examined are all the instances that there are, as in the case of our three rules and the corollary, it is said to be complete, and the general truth arrived at is said to be based upon a perfect induction.


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