ABSTRACT

The language of mathematics is full of terms and symbols that mean nothing to nonmathematicians, and fairly often indeed mean very little to anyone who is not an expert in a particular field of mathematics. But the part of mathematical language known in logic as the language of elementary arithmetic can be understood on the basis of ordinary school mathematics. It deals with the natural numbers (nonnegative integers) 0, 1, 2,. . . and the familiar operations of addition and multiplication, and it allows us to formulate some of the most striking results in mathematics, and some of the most difficult problems.