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Updated: May 12, 2025
Games of skill, very thorough shopping or keeping a bankbook, or selling tickets for tram or train, represent the kind of everyday problem that should be the centre of the arithmetic work at this transition stage; and out of the necessities of these problems the abstract and semi-abstract work should come, but it should never precede the real work.
Simple enough the matter might have been, could I have referred its origin to some name to our mother or to you, to my Chief in London, to an impersonal Foreign Office that has since honoured me with money and a complicated address upon my envelopes, or even, by a stretch of imagination, to that semi-abstract portion of my being some men call a Higher Self.
Semi-abstract, semi-poetic constructions, they are permeated with imagination not only in the general conception, but also in the numberless details of its application. Such are the "fulgurations" of Leibniz, those very rich digressions of Schopenhauer, etc.
And since no difference is less easily overcome than the difference of opinion about semi-abstract questions, they never agreed in any opinion, and had long, indeed, been accustomed to jeer without anger, each at the other's incorrigible aberrations. They were just going in at the door, talking of the weather, when Stepan Arkadyevitch overtook them.
If there were not within them a sufficient number of concrete, abstract, or semi-abstract representations, susceptible of various combinations, nothing would happen; but the origin of invention and of its frequent or constant changes of direction lies in the emotional and motor constitution, not in the quantity or quality of representations.
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