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5 Aug. 1814
Logic
Ch. Division
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Division and definition go to hand in hand: for the definition you take the receptable last proceeding.
As between two receptacles the one with its [...?] enclosed in the other. For description sake let the mere [...?] be considered as sturdy precept, i.e. occupying the high ground at any such division its two receptants the result of such division are considered as placed above or underneath it: tho these two receptants of the division be the exhaustive ones, the contents of the greater receptacle are emptied out and lodged.
The several possible moded of methodization, and in particular the mode of aggregation {and discourse - under inclusion} has been already brought to view. On that occassion in speaking of aggregation, arrangement in a series or line of subalternate receptacles - {It is by} arrangement in the /a/ line of subalternation in this mode and no other that the operation of division understand of psychical division - can be performed: A name /I.e. appelation/.
In the character of a dividend a name constituting a receptacle of a comparatively larger content is assumed: Its contents The particulars /the articles/ contained in it are lodged in two or more other receptacles so constituted in respect of extent as to contain all of them together the exact amount of the above contents of the dividend or greater receptacle; the aggregate contained in the greater receptacle is /being/ considered as divided, the elementary parts /component articles or units/ of the aggregate mass are considered as distributed among the compartments which by such division have been created.
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Title: [5 Aug. 1814 C Logic Ch. Methodization]Description: 5 Aug. 1814 C Logic Ch. Methodization '.3.2. Aggregation, good and bad 7 1 Those objects which should be included in the same receptacle which are designed to receive the same destination. Shillings and half pence should not be put up into a rouleau of guineas. '.3. Good and bad arrangement on the principle of association /aggregation/ /[...?]/ and inclusion. 303
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Title: [5 Aug. 1814 Logic Ch. │ │ Methodization]Description: 5 Aug. 1814 Logic Ch. │ │ Methodization '.1. 4 4 Numbers are in methodical order or their visual[?] order in which they have one for their common difference: in any othr they would be unmethodical, confused, difficultly apprehensible and comprehensible. Methodized otherwise than by means of priority and posteriority, methodized without regard to priority and posteriority, objects may be said to be methodized by simple aggregation, in any inclusion: by being shut up, all together, in a box, or as it were in a box. To physical and to psychical methodization this distinction is alike applicable. Ten counters,[?] guineas, say fifty, in number exhibited in a row are methodized by means of succession: enclosed altogether in a rouleau - a sort of extempore paperbox - they are methodized by aggregation and inclosure or inclusion. Where the number is thus great, the superior convenience of the principle of aggregation and inclosure, as compared with the principle of succession has been experienced by the gamesters whose invention it was, and of this convenience the existence is evidenced by their practice. Displayed in a row, such a number would have required time and labour for the counting of it, and more for the recollection and redisplay of it: disposed in a rouleau, an aggregate in the inclusion of which the number of its elementary parts is known, no counting, no collection, no re-display is necessary. 273
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Title: [10 Aug. 1814 Logic Ch. │ │]Description: 10 Aug. 1814 Logic Ch. │ │ Methodization '. │ │ Subalternation Scale? 6 Thus intimately connected are the three logical operations subservient to instructive intercourse - viz. aggregative arrangements, division, and definition. Without previous aggregate arrangement, there would be nothing to divide. Without division there could be no definition: at least no definition in which the genus or aggregate, referred to and employed for the purpose of explanation or instruction, were any other than of any less dimensions than the genus generalissimum - the box in which all the other boxes belonging to that nest were included. 309
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