enumeration, though arithmetic manuals in the Renaissance continued to give elaborate rules for calculating on the hands. It could be true that numbers preceded literacy in some cultures, but so did visual stress precede writing. For writing is only the principal manifestation of the extension of our visual sense, as the photograph and the movie today may well remind us. And long before literate technology, the binary factors of hands and feet sufficed to launch man on the path of counting. Indeed, the mathematical Leibniz saw in the mystic elegance of the binary system of zero and I the image of Creation. The unity of the Supreme Being operating in the void by binary function would, he felt, suffice to make all beings from the void. Dantzig reminds us also that in the age of manuscript there was a chaotic variety of signs for numerals, and that they did not assume a stable form until printing. Although this was one of the least of the cultural effects of printing, it should serve to recall that one of the big factors in the Greek adoption of the letters of the phonetic alphabet was the prestige and currency of the number system of the Phoenician traders. The Romans got the Phoenician letters from the Greeks but retained a number system that was much more ancient. Wayne and Shuster, the comedian team, never fail to get a good laugh when they line up a group of ancient Roman cops in togas and have them number themselves from left to right, uttering Roman numerals. This joke demonstrates how the pressure of numbers caused men to seek ever more streamlined methods of numeration. Before the advant of ordinal, successive, or positional numbers, rulers had to count large bodies of soldiery by displacement methods. Sometimes they were herded by groups into spaces of approximately known area. The method of having them march in file and of dropping pebbles into containers was another method not unrelated to the abacus and the counting board. Eventually the method of the counting board gave rise to the great discovery of the principle of position in the early centuries of our era. By simply putting 3