By James Bailey

ISBN-10: 0465007813

ISBN-13: 9780465007813

ISBN-10: 0465007821

ISBN-13: 9780465007820

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Example text

Its essence is intricacy of sidewalk use, bringing with it a constant succession of eyes. This order is all composed of movement and change, and although it is life, not art, we may fancifully call it the art form of the city and liken it to the dance-not to a simpleminded precision dance with everyone kicking up at the same time, twirling in unison and bowing off en masse, but to an intricate ballet in which the individual dancers and ensembles all have distinctive parts which miraculously reinforce each other and compose an orderly whole.

I)"» ,TOln-u'l"« :T",pir~ . eNlXtT"l~ V ... ( tU rl/v. :'" "'T... 0>. -'j. .... " The reason the Greeks were successful in mathematically orienting themselves in their universe, but not in physically moving the earth, was that the reference point did not have to be real to be effective. It was enough to create a fictional reference. As Friedrich Nietzsche noted more than two thousand years later, we can compute our way forward once we have that starting point: No more fiction for us: we calculate; but that we may calculate, we had to make fiction first.

19 Numbers and equations, meanwhile, rode the tide of the new economies of print. Perhaps they also changed the relationship of computers and mathematicians to the symbols they worked with. Until the time of Regiomontanus, numbers and letters had been distinct markings on a page. Was it harder, perchance, to conceptualize using one such ink marking to stand for the other as the techniques of algebra require? When numbers and letters became individual slugs of type, physically interchangeable in the hand, did it become mentally THE FIRST FICTION 49 easier to conceive of substituting one for the other in the sense of the modern algebraic variable?

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After Thought by James Bailey


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