date

5 Aug. 1814 Logic Ch. │ │ Methodization
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.

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    Methodized by means of priority and posteriority, objects will have been disposed in such manner as to exhibit all together some conspicuous and familiar figure.

    Of all figures the one most familiar is a right line: disposed in such manner as to exhibit a right line, they are said to be disposed in a row.

    In that case if the position of the row be vertical, the article to which priority is ascribed will be that one which stands highest: if horizontal that one which is furthest from the position from which it is designed to be viewed.

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    In [...?] or law /nature[?] medium/ bad arrangement is like putting up shillings in a rouleau which ought to have nothing in it but guineas: keeping together on all occasions objects which on all or most or many occasions ought to be separate and receive separate distinctions.

    In the psychical mode of methodization, arrangement of the names of the objects in a determinate figure - such a line, vertical or horizontal or vertical, is arrangement on the principle of lineal succession: arrangement of them under a common denomination is arrangement on the principle of aggregation and inclosure: the name, the common denomination is as it were the box, the rouleau in which they are inclosed and by which they are kept together.

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  • Title: [5 Aug. 1814 Logic Ch. │ │ Methodization]
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    Disposition by means of succession and posteriority, - disposition, without regard to succession and posteriority - under one or other or both of these denominations will every possible mode of methodization be found comprehendible.

    And with equal propriety it will be found applicable to the physical and to the psychical mode of arrangement - to arrangement in the physical sense and to arrangement in the psychical sense.

    Priority and posteriority are relations that apply alike to place and time, to portions of place and to portions of time.

    Succession is a term by which the relation between priority and posteriority is designated.

    On this occasion, of the two predicaments, place is capable of being exhibited in the simplest mode. Why? Answer: Because where it is in respect of place that a number of objects are to be arranged, they may be all of them designated at the same time; in such sort as to be present to the view of the individual in question at the same time, whereas if they are to be arranged with reference to time without being arranged with reference to place, they can not be brought to the view of the same individual at the same time.

    Audible signs are the only signs by means of which objects are capable of being arranged according to priority and posteriority in respect of time, otherwise than by means of reference to priority and posteriority in respect of place. By visible signs priority and posteriority in respect of time is no otherwise designated than by d o. in respect of place. By tangible signs they may be designated in either of these ways, by either of these means. To tangible signs the organs may be applied successively or all at once: but if all at once, the number to be distinguished must not be large.

    271