supernatural powers. . . . even the enlightened Greeks never 
completely freed themselves from this mysticism of number 
and form.” (pp. 25­6)

     It is easy to see with Dantzig how the first crisis in 
mathematics arose with the Greek attempt to apply arithmetic 
to geometry, to translate one kind of space into another before 
printing had given the means of homogeneity: “This confusion 
of tongues persists to this day. Around infinity have grown up 
all the paradoxes of mathematics: from the arguments of Zeno 
to the antinomies of Kant and Cantor.” (p. 65) It is difficult for 
us in the twentieth century to realize why our predecessors 
should have had such trouble in recognizing the various 
languages and assumptions of visual as opposed to audile-
tactile spaces. It was precisely the habit of being with one kind 
of space that made all other spaces seem so opaque and