Skip to main content

Meaning in Mathematics – John Polkinghorne (Ed.) ***

In this book a number of leading mathematicians, philosophers and physicists, each contributing a chapter, offer us a range of reflections on the philosophy of mathematics, looking at, for example, the extent to which mathematics can be considered objective, and the issue of discovery versus creation in mathematics.
I really liked the format of the book. Each chapter is followed by a brief commentary by one of the other contributors to the book, with these commentaries providing alternative ways of looking at a particular issue, and encouraging the reader to engage in the debates. Further, the chapters are bite-sized and self-contained, and I enjoyed picking up the book to read, say, a chapter or two, before coming back to it later.
There is an occasional problem with the shortness of the chapters. This is that sometimes there isn’t enough room for ideas to be gently introduced to those of us who aren’t professional mathematicians or philosophers. Despite the book’s aim of being accessible to the layperson, at times it is just too much like an academic book to be considered good popular science.
Some contributions are not as dense as others, however. Marcus du Sautoy, who has perhaps had more practice than some of the other contributors in writing popular science, has written a very easy to follow chapter. And I particularly liked his idea of reconciling creation in mathematics with discovery – whilst all mathematical ideas already exist ‘out there’, in a Platonic sense, waiting to be discovered, mathematicians are still engaged in creative processes, in the sense that they have to choose, often for aesthetic reasons, the most appealing and useful ideas from among the much more banal.
Altogether, then, this is an interesting and thought-provoking collection, which does however suffer from being a little too difficult in parts.

Hardback 

Kindle 
Review by Matt Chorley

Comments

Popular posts from this blog

The Art of Statistics - David Spiegelhalter *****

Statistics have a huge impact on us - we are bombarded with them in the news, they are essential to medical trials, fundamental science, some court cases and far more. Yet statistics is also a subject than many struggle to deal with (especially when the coupled subject of probability rears its head). Most of us just aren't equipped to understand what we're being told, or to question it when the statistics are dodgy. What David Spiegelhalter does here is provide a very thorough introductory grounding in statistics without making use of mathematical formulae*. And it's remarkable.

What will probably surprise some who have some training in statistics, particularly if (like mine) it's on the old side, is that probability doesn't come into the book until page 205. Spiegelhalter argues that as probability is the hardest aspect for us to get an intuitive feel for, this makes a lot of sense - and I think he's right. That doesn't mean that he doesn't cover all …

The Best of R. A. Lafferty (SF) – R. A. Lafferty ****

Throughout my high school years (1973–76) I carefully kept a list of all the science fiction I read. I’ve just dug it out, and it contains no fewer than 1,291 entries – almost all short stories I found in various SF magazines and multi-author anthologies. Right on the first page, the sixth item is ‘Thus We Frustrate Charlemagne’ by R. A. Lafferty, and his name appears another 32 times before the end of the list. This isn’t a peculiarity of my own tastes. Short stories were much more popular in those days than they are today, and any serious SF fan would have encountered Lafferty – a prolific writer of short fiction – in the same places I did.

But times change, and this Gollancz Masterworks volume has a quote from the Guardian on the back describing Lafferty as ‘the most important science fiction writer you’ve never heard of’. Hopefully this newly assembled collection will go some way to remedying that situation. It contains 22 short stories, mostly dating from the 1960s and 70s, each w…

David Beerling - Four Way Interview

David Beerling is the Sorby Professor of Natural Sciences, and Director of the Leverhulme Centre for Climate Change Mitigation at the University of Sheffield. His book The Emerald Planet (OUP, 2007) formed the basis of a major 3-part BBC TV series ‘How to Grow a Planet’. His latest title is Making Eden.

Why science?

I come from a non-academic background. None of my family, past or present, went to university, which may explain the following. In the final year of my degree in biological sciences at the University of Wales, Cardiff (around 1986), we all participated in a field course in mid-Wales, and I experienced an epiphany. I was undertaking a small research project on the population dynamics of bullheads (Cotus gobio), a common small freshwater fish, with a charismatic distinguished professor, and Fellow of the Royal Society in London. Under his guidance, I discovered the process of learning how nature works through the application of the scientific method. It was the most exciting t…