The evolution of general ideasRibot, Th. (Théodule)
Science
The evolution of general ideas
Ribot, Th. (Théodule)
Abstraction; Imagination
Save this last, the hypotheses enumerated (and internal sensation
might also have been invoked; e. g., a localised pain as compared with
several scattered pains) give only percepts or images, i. e., the raw
material of abstract unity. This is itself a subjective notion. We said
above (Chapter II) that the question whether consciousness starts from
the general or the particular is a misstatement, because it applies
to the mind which is in process of formation, categories valid only
for the adult intelligence. So here. At the outset there is no clear
perception of primary unity and subsequent plurality, or _vice versa_:
neither observation nor reasoning justifies an affirmation. There is a
confused, indefinite state, whence issues the antithesis of continuous
and discontinuous, the primitive equivalents of unity and plurality.
It took centuries to arrive at the precise notion of abstract unity as
it exists in the minds of the first mathematicians, and this notion is
the result of a _decomposition_, not of any direct and immediate act
of postulation. It was necessary to decompose an object or group into
its constituent parts, which are or appear to be irreducible. Then a
new synthesis of these parts was required to reconstitute the whole, in
order that the notion of relation between unity and plurality should be
perceived clearly. It cannot be doubted that for the lesser numbers two,
three, four, the successive perception of each separate object, and then
of the objects apprehended together at a single glance, has aided the
work of the mind in the conception of this relation. We have seen that
many human races never passed beyond this phase. The abstract notion of
unity is that of the indivisible (provisory). It is this abstract quality
of the indivisible, fixed by a word, that gives us the scientific idea of
unity as opposed to the vulgar notion. Perceived unity is a concrete,
conceived unity is a quality, an abstract; and in one sense it may be
said that unity, and consequently all abstract number, is a creation of
the mind. It results like all abstraction from analysis—dissociation.
Like all abstraction, it has an ideal existence; yet this in no way
prevents it from being an instrument of marvellous utility.
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