This book is a sympathetic reconstruction of Henri Poincar's anti-realist philosophy of mathematics. Although Poincar is recognized as the greatest mathematician of the late 19th century, his contribution to the philosophy of mathematics is not highly regarded. Many regard his remarks as idiosyncratic, and based upon a misunderstanding of logic and logicism. This book argues that Poincar's critiques are not based on misunderstanding; rather, they are grounded in a coherent and attractive foundation of neo-Kantian constructivism.

The non-technical, basic yet familiar features of time are investigated, e.g. two novel, detailed arguments defending the common view that 'time rolls relentlessly' are advanced; a number of hitherto neglected fundamental differences between spatio-temporal location and every other physical property are discussed; the unresolved problem, why the past is so much better known than the future is tackled. For those who wish to delve deeper, 25% of the book consists of problems to ponder and their possible solutions.