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8 Aug 1814
Logic
Ch. Division
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Write up this in conjunction with title Methodization.
Ch.
Of Division
Physical and Psychical - by /under/ /to/ one or other of these two epithets may every possible mode of division be referred /comprised/: physical, where the subject matter to be divided - say the dividend - is a natural / physical/ body or aggregate; psychical, where it is a psychical or say an ideal aggregate: viz. any aggregate of objects individually assignable or unassignable, for the designation of which a common name or say appellation has been provided.
Of these modes, the former /the physical/ is the only original and proper mode. It is the archetype of the other. The ideal aggregate is feigned to be - is considered as being a body - a mass of matter; any number of lesser aggregates into which, they being contained in it it is considered as being capable of being resolved, are considered as so many parts into which it is considered as capable of being divided.
Of these two modes, the psychical is the only one that belongs to the present design: the only one employed in the exercise of the art of Logic. In an institute of that art the other /the physical/ would not have had any title to a place, had it not been for the light which it may serve to throw upon - the explanation which it may help /serve/ to give of the psychical which has been deduced from it.
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Title: [5 Aug. 1814 Logic Ch. Division]Description: 5 Aug. 1814 Logic Ch. Division 2 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. 193
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Title: [8 Aug. 1814 Logic Ch. │ │ Methodization]Description: 8 Aug. 1814 Logic Ch. │ │ Methodization '. │ │ Subalternation Scale 4 Zoology is 1. anthropology. 2. herterozoology.[?] To anthropology belong two scales of disorders: viz. 1. physical order of beng, diseases. 2. psychical, pernicious or otherwise obnoxious acts, including affairs, transgressions, crimes, modes of action. In each of these kingdoms, between the two points, viz. the highest and the lowest, degrees are placed in any number according to the demand constituted by the state and condition of the science, in respect of cultivation and advancement. For the formation, {fixation} and designation of these degrees, the name of the kingdom giving name always to the highest aggregate, the course taken {in systematical order} has usually been to begin with the highest {i.e. of course} the most capacious receptacle. From this, in order to obtain lesser and inferior aggregates, stationed in so many lower levels, it became necessary to have recourse to division; division, say psychical or logical division, was the operation necessarily employed /received[?]/. In every branch of art and science, the use of definition is universally felt and acknowledged. But, to definition, at any rate in the usual sense of the word, division - psychical or logical division - is a necessary preliminary or accompaniment. In that sense, by definition is meant the indication of a larger aggregate, in which the aggregate in question (the aggregate for the name of which definition is required) is comprized; together with the indication of some property or properties by which the aggregate in question stands distinguished from whatsoever other aggregates are likewise comprized under that same larger aggregate: distinguished, to wit in this manner: viz. that the property so indicated does appertain to the lesser aggregate in question, but does not appertain to those other lesser aggregates from which it is required to be distinguished. 307
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Title: [19 Aug 1814 Logic 1]Description: 19 Aug 1814 Logic 1 C Ch. Division Sec. 4 '. Synthesis and analysis compared 1 For an example of Synthesis and Analysis see [...?]-[...?], p.4[...?] '. Synthesis, like analysis, is distinguishable into physical and psychical. In neither [...?] is the number of degrees established in the analytic order /method/ determined by d of d in synthetic. Psychical say logical division supposes the prior /antecedent/ existence of psychical or say logical aggregation. {A bushel of apples - a bushel of wheat - can not be divided, before /until/ it has been collected.} Psychical division has no subject but the ideas commonly called general ideas. These general ideas are all so many aggregate /aggregate ideas/ or say abstract ideas, formed by aggregation and abstraction out of simple ones. Of the aggregate thus formed, the extent is determined and measured by that of the import of the term, /the name - the appellative/ employed for the expression of it. 205
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