A Question of Frege
Frege believed that math is analytic, meaning that the definitions of mathematical terms like “2” and “4” guarantee the truth of sentences like “2+2=4”. Frege’s theory explains how we know about math; as long as we can understand what we mean by mathematical terms, and can reason logically, our mathematical knowledge is guaranteed. But in order to work, the theory has to rely on Frege’s definition of a number.
