6 Aug. 1814 +

Logic

Section 6

Of the Porphyrian Tree.

6

Ch. │ │ Methodization

'. │ │ Subalternation

1

The minuteness of the distinction giving rise to so many names depends on the experienced demand for distinction. Sheep species Ewe, Ram & Weather. Bos species Cow Bull and Ox. Canine species Dog & Bitch. Cat species no difference of gender: both served alike to catch Mice. The pronoun he & she served for these & other animals. Horse & Mare: gelding more recent. Boar & Sow.

The process or course by which, setting out from individuals and those indeterminate, men arrived at the seat of most extensive aggregates {at that level in the scale on which are seated the most extensive aggregates} has received the name of generalization: it has division - logical or psychical division - for its converse.

At this stage of the enquiry, the justly celebrated logical instrument, called the Porphyrian tree, presents its claim to notice. It took this name from its inventor Porphyrius, a Greek who not long after the days of Aristotle became numbered among his disciples.

In the track of generalization such among that ingenious people had been even before - no one knows how long before - the days of Aristotle: he found rising one above another in that scale words in the Greek language employed as the names of the following aggregates, 1 Man {and Brute}. 2. animal. 3. living thing. 4 body. 5 substance.

In addition to those objects the existence of which is made known to sense, for designating other objects, the idea of which is presented to us only by abstraction, the work of imagination, while their existence is pointed out to us by inference, he found already in use a word corresponding to our word substance.

For exhibiting to the senses the relation between the objects standing on different levels of the scale thus composed, he employed as an emblem the figure of a tree.

296
Similar Items
  • Title: [6 Aug. 1814 Logic 7]
    Description: 6 Aug. 1814

    Logic

    7

    Ch. │ │ Methodization

    '. │ │ Subalternation

    2

    In the scale of subalternation the two extremes are given: and[?] the [...?].

    At the bottom, in the place of and as serving to constitute the trunk, with its continuation the root, he stationed the most capacious of all these aggregates, the half-corporeal, half-ideal name substance. Within the compass of this most capacious aggregate, he beheld two lesser aggregates, constituting the nearest and lowest branches of the tree: one the aggregate composed of such substances as are of a corporeal, the other of such as are of an [in]corporeal nature. Those of a corporeal, i.e. bodily, nature were in one word bodies: those of an incorporeal nature were in one spirits. At that point and without the labour of any further ramification or division he left the world of Spirits.

    Taking in hand the aggregate composed of bodies, he observed that some had life in them, others not: by which word life he designated as well the sort of life ascribed to plants, viz. vegetable life, as the sort of life ascribed to animals, viz. animal life. In these then, for the corporeal branch of his ideal trunk and root, he found so many ulterior branches: one branch served for containing such bodies as had life in them; the other, such as had no life in them.

    Leaving the vegetable world as before, he had left the incorporeal world undivided, he performed the operation of division in the same way with the animal world as he had proceeded with the corporeal: included in this aggregate he observed two ulterior aggregates, one in which were included all animals endowed with reason, viz. human creatures, in the other all animals not endowed with that transcendant gift: which last without further division or distinction he drove together in one flock under the name of brutes; and with these rational beings he peopled the one, as with the irrational ones the other of the two extreme branches of this emblematic and instructive tree.

    297
  • Title: [6 Aug. [1814] + Logic 1]
    Description: 6 Aug. [1814] +

    Logic

    1

    Ch. │ │ Methodization

    '. │ │ Subalternation

    1

    C.10 Sec.5

    Relation between Genus & Species.

    From methodization on the principle of co-acervation follows the sort of relation that has place between genus and species: the relation by means of which aggregates of different dimensions are, with reference to one another, lodged in the order called subalternate, or in the order of subalternation - or intro-susception.[?]

    It is from this order - that is from the practice of ranging ideas in this order by means of correspondent denomination - that the logical operations called Logical Division and Logical Definition took their rise.

    The order in which by the Aristotelians the component elements of a system of subalternation are exhibited is the reverse of the historical order in which they made their appearance. By these logicians an immense aggregate is held up to view, the most extensive of which they were capable of conveying or framing a conception: that aggregate is represented as divided or divisible into other aggregates, these again, each of them, into others, and so on till at last comes the last link in this sort of chain - a link consisting of an aggregate which, not having within it any other aggregates, is composed wholly of individuals; which individuals must if those spiritual substances are excepted which on the occasion are commonly introduced will of course, consist of portions of matter, being natural bodies or parts or portions of such bodies.

    This order according to which (the principle of methodization being in this respect the principle of priority and posteriority) the object of largest dimension is that which presents itself in the first instance, is called analytic order or the order of analysis: analysis from a Greek word which signifies to melt or break down into a number of parts an object considered in the character of a whole.

    291
  • Title: [21 Aug 1814 Logic Ch. Division]
    Description: 21 Aug 1814

    Logic

    Ch. Division

    '. Synthesis and Analysis

    correspond not

    4

    From /By/ certain terms, which, in the description of this process, have sometimes been employed, (viz. synthesis and analysis) it seems as if it had been taken for granted that the two operations thus denominated were each of them the exact counterpart and converse of the other: that the stages passed over in the one process and in the other would every where and on all occasions be exactly the same, consequently and the number of those stages likewise: and that whatsoever had by synthesis been put together, the putting of that asunder - of that of all that, as far as it /they both/ went/ and no more than that, was that of /in/ which analysis [...?] /the operation performed by analysis/.

    Wide indeed from the truth of the case would any such conception however be found. Few have /Small has/ probably been the number of the successive operations of the kind in question, viz. abstractions by which - correspondently small the /that of/ number of the steps at which /stages on /in passing/ or through which/ the idea of the most amply extensive classical aggregate of which the mind is capable of forming to itself the /an/ idea, has in this way been formed. Of this most extensive aggregate, termed by the logicians of antiquity the genus generalissimum, being or existence or entity, is the name. Five or at the utmost six has accordingly been the number of steps successively taken by the mind in its ascent towards this most exalted pinnacle: five, or, at the utmost, six, the number of stages at which it has stopped. Of these abstractions, these distillations, these steps, these stages, the number corresponds to and is indicated by the number of the ramifications exhibited by the famous Porphyrian Tree and of these operations and their results, indication has been given, and at the same time recordation made, by the names respectively employed for the designation of the classical aggregates of different amplitudes which have been their respective products.