Wittgenstein, Mathematics and World

Takes an accessible approach: written by an experienced educator and academic who is able to make complex concepts instantly relatable Provides an introduction to the history of mathematics and its applications, as well as engaging with Wittgenstein's own work Presents a highly original philosophical argument, including a defence of Wittgenstein's relationship with mathematical philosophy and engagement with contemporary fictionalism
This book uses Ludwig Wittgenstein’s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?' The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein’s writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein’s philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein’s philosophy of mathematics is interesting in its own right; it is also just what is needed to solve the problem of mathematics and world.