date

5 Aug. 1814 Logic Ch. │ │ Methodization
5 Aug. 1814

Logic

Ch. │ │ Methodization

'.1.

2

2

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.

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  • Title: [5 Aug. 1814 Logic Ch. │ │ Methodization]
    Description: 5 Aug. 1814

    Logic

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    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
  • Title: [3 Aug. 1814 '.2. + Logic Ch]
    Description: 3 Aug. 1814 '.2. +

    Logic

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    Methodization as applied to Objects - its Two Principles or Modes: Principle of successive Exhibition - Principle of connected Aggregation.

    Applied to subjects or objects, Methodization is an operation which, in so far as it has any determinate and useful import attached to this its name, bears an indispensable, though not a very prominent, nor, in general, sufficiently apparent, relation to the particular end or purpose to which it is or ought to be regarded as subservient. Methodization supposes a multitude of articles on which, in the quality of subjects, it has to operate; and, in so far as it is apt and useful, it is effected by making such a disposition of them as promises to render them, as far as depends upon itself, subservient to that purpose.

    Physical and psychical, as in the instance of so many others, so in the instance of the present subject, this presents itself as the first distinction which the nature of the subject requires to be brought to view. Physical, in so far as the articles to which this operation is applied, are so many portions of matter: psychical, in so far as they are so many ideas, creatures of the mind, of the immaterial part of the human frame.

    Psychical entities, i.e. ideas, not being capable of being communicated or so much as fixed and rendered determinate, otherwise than by means of the words employed to serve as signs of them; hence, in so far as psychical methodization is in question, words will be the instruments by which whatsoever is done will all along be considered and spoken of as done.

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  • Title: [8 Aug. 1814 Logic Ch. │ │ Methodization]
    Description: 8 Aug. 1814

    Logic

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    '. │ │ Subalternation Scale

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    Aggregates - any two aggregates - which are completely included either of them within the other stand with reference to each other in the relation of logical subalternation, and, with reference to each other, may be said to be commensurable. Divide the larger of the two, you may sooner or later divide it into parts, one of which will be the smaller aggregate.

    Aggregates, no one of which is in any part included within the other, may, in like manner, be said to be incommensurable.

    Any number of aggregates which are thus commensurable may be considered as belonging to and may be said to constitute one scale:- and to belong to one and the same scale. And thus we have scales of aggregates, and scales of logical subalternation.

    Instead of scales of aggregates we may also, in so far as the convenience of discourse may be found to require it, say nests of aggregates: + and speak of two or more aggregates as belonging to the same nest or belonging to different nests.

    Aggregates belonging to the same scale of logical subalternation are moreover said to be arranged, with reference to one another, in systematic order.

    Of two aggregates belonging to the same scale, the larger may with reference to the smaller be termed superordinate: the smaller, with reference to the larger, subordinate.

    In this way, the two only modes or principles of methodization are employed together: the one which proceeds on the principle of succession or priority and posteriority, being employed in the character of a type or emblem employed to represent that which proceeds on the principle of aggregation.

    +  Chemists and apothecaries have their nests of boxes.

    305