The evolution of general ideasRibot, Th. (Théodule)
Science
The evolution of general ideas
Ribot, Th. (Théodule)
Abstraction; Imagination
The same may be said of the acoustic sensations. Preyer, in a work
on “Arithmogenesis,” claims that “hearing takes first rank in the
acquisition of the concept of number.” Number must be felt before it is
thought. Ideas of number and of addition have to be acquired, and this,
according to him, takes place in the child when it hears and compares
sounds. Subsequently, touch and sight complete this first outline. It
is known that Leibnitz assimilated music to an unconscious arithmetic.
Preyer reverses the proposition and says: _Arithmetica est exercitium
musicum occultum nescientis se sonos comparare animi._[92]
As against those who seek the origin of the idea of unity in external
events, others attribute it to internal experience.
Thus it has been maintained that consciousness of the ego as a monad
which knows itself, is the prototype of arithmetical unity. Obviously
this assertion is open to numerous objections. To wit, the late formation
of the notion of the ego, the fruit of reflexion; its instability,—still
more, this unity, like all the preceding, is concrete, complex; it is a
composite unity.
The thesis of W. James is very superior: “Number seems to signify
primarily the strokes of our attention in discriminating things. These
strokes remain in the memory in groups, large or small, and the groups
can be compared. The discrimination is, as we know, psychologically
facilitated by the mobility of the thing as a total.... A globe is one if
undivided; two, if composed of hemispheres. A sand heap is one thing, or
twenty thousand things, as we may choose to count it.”[93] This reduction
to acts of attention brings us back definitely to the essential and
fundamental conditions of abstraction.
Public-domain text, read in full here on John Shaqi.
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