which affects Europe from Machiavelli till the present. The Machiavellian mind and the merchant mind are at one in their simple faith in the power of segmental division to rule all—in the dichotomy of power and morals and of money and morals. Dantzig explains why the language of number had to be increased to meet the needs created by the new technology of letters. How the Greeks encountered the confusion of tongues when numbers invaded Euclidean space. The great sixteenth century divorce between art and science came with accelerated calculators.