. Lectures on metaphysics and logic . 1 Categ., c. 3. Anal. Prior., i. 1. —Ed. 2 [An objection to the mode of syllogisticnotation by circles is, that we cannot, by thismode, show that the contained exhausts thecontaining; for we cannot divide the area ofa circle between any number of containedcircles, representing in extension all coordi- nate species, in comprehension all the imme-diate attributes.] [For the authors finalscheme of notation, set Tabular Scheme atend ofvolume. — 3 See above, p. 180. Cf. Krug Logik, § 79,p. 245. —Ed. 215. PS ©? Tou are now prepared for the statement and ill
. Lectures on metaphysics and logic . 1 Categ., c. 3. Anal. Prior., i. 1. —Ed. 2 [An objection to the mode of syllogisticnotation by circles is, that we cannot, by thismode, show that the contained exhausts thecontaining; for we cannot divide the area ofa circle between any number of containedcircles, representing in extension all coordi- nate species, in comprehension all the imme-diate attributes.] [For the authors finalscheme of notation, set Tabular Scheme atend ofvolume. — 3 See above, p. 180. Cf. Krug Logik, § 79,p. 245. —Ed. 215. PS ©? Tou are now prepared for the statement and illustration of the various proximate rules by which all categorical Proximate Rules of gyHo^isms are reijulated. And, first, in rec^ard Categorical Syllo- • = , . ° , . ? ^ gisms. 1. Extensive. ^o these rules in relation to the reasoning otExtension. Aldrich, says Dr. Whately, has given twelve rules, which Ifind might be more conveniently reduced to six. No syllogism canbe faulty which violates none of these rules. ^ This reduction ofthe syllogistic rules to six is not original to Dr. Whately; but hadhe looked a little closer into the matter, he might have seen that thesix which he and other logicians enumerate, may, without any sac-rifice of precision, and with even an increase of perspicuity, bereduced to three. I shall state these in a paragraph, and then illus-trate them in detail. ^ ^^/ ^^ Extensivc Categorical Syllo-Euies of the Exten- gisiu, if regularly and fully expressed, isgoverned by the three follow
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