Why Math Matters

This book is not an account of mathematical analysis, and is not intended to supply the reader with a survey of the various branches and achievements of the subject. In this respect it is notably different from books that attempt to do just this, such as the fascinating What Is …

Crises in Mathematics

Views concerning how reliable knowledge can be acquired usually reflect the achievements and methods in notably successful branches of inquiry. Newtonian mechanics was widely regarded for more than two hundred years as the paradigm for understanding the constitution of nature; in the nineteenth century, evolutionary biology often served as the …

Science As History

The late Alfred North Whitehead is said to have once presided at a lecture by Bertrand Russell on the philosophical implications of what was then the new quantum mechanics, and to have closed the meeting by thanking Russell for his presentation and especially for “leaving the vast darkness of the …