## Abstract

In classical analysis we start with a field of numbers. A function is explicitly defined as a set of pairs of numbers *(x, f (x))* in which *x* ranges over what is called the domain of *f*. Also equality, addition, multiplication, and substitution of functions are explicitly defined. The structure of classical analysis is somewhat comparable to that of classical projective geometry. Veblen and Young start with a set whose elements are called points, and then explicitly define lines and planes as certain sets of points. Also joining and intersecting are introduced in set-theoretical terms.

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## Copyright information

© Springer-Verlag Wien 2003