Skip to main content

Introducing Infinity – Brian Clegg & Oliver Pugh ****

I have to be honest, I absolutely loved Brian Clegg’s A Brief History of Infinity, which was one of the first books I reviewed for this site nearly ten years ago (can’t believe it’s so long!), so I was a little wary about this book – especially as it is illustrated. I’m no fan of the illustrated form, which so often seems a way of filling pages cheaply.
To be fair to Oliver Pugh, he does an excellent job, and the illustrations in this format are so integral to the look and feel that no one could accuse them of being padding. They add richness to the content that helps the reader absorb the content: I’m going to look out for more in this series.
As for the text itself, it is rather simplified when compared with the full length book. It isn’t possible to get the same level of entertaining detail, nor to really explain some of the more obscure aspects of the study of infinity. However, in all fairness, the Introducing book does a very good job of opening the reader’s eyes to the wonders of infinity. Where it works best is where the illustrations integrate with the text produce a seamless whole – for example in the exploration of the basics of set theory, which benefits much from this approach. I did raise an eyebrow, though, at the apparently straight-faced acceptance of the alleged Chinese set of ‘things that look like a fly when seen from a distance’ which I have always thought was a joke by Jorge Luis Borges.
If you want to dip into infinity and get an introduction to what it’s all about, you can’t beat this book. It does exactly what it says on the cover. For a more in-depth exploration, go for A Brief History of Infinity.


Paperback 

Kindle 
Using these links earns us commission at no cost to you
Review by Peter Spitz
Please note, this title is co-written by the editor of the Popular Science website. Our review is still an honest opinion – and we could hardly omit the book – but do want to make the connection clear.

Comments

Popular posts from this blog

The Laws of Thought - Tom Griffiths *****

In giving us a history of attempts to explain our thinking abilities, Tom Griffiths demonstrates an excellent ability to pitch information just right for the informed general reader.  We begin with Aristotelian logic and the way Boole and others transformed it into a kind of arithmetic before a first introduction of computing and theories of language. Griffiths covers a surprising amount of ground - we don't just get, for instance, the obvious figures of Turing, von Neumann and Shannon, but the interaction between the computing pioneers and those concerned with trying to understand the way we think - for example in the work of Jerome Bruner, of whom I confess I'd never heard.  This would prove to be the case with a whole host of people who have made interesting contributions to the understanding of human thought processes. Sometimes their theories were contradictory - this isn't an easy field to successfully observe - but always they were interesting. But for me, at least, ...

The AI Paradox - Virginia Dignum ****

This is a really important book in the way that Virginia Dignum highlights various ways we can misunderstand AI and its abilities using a series of paradoxes. However, I need to say up front that I'm giving it four stars for the ideas: unfortunately the writing is not great. It reads more like a government report than anything vaguely readable - it really should have co-authored with a professional writer to make it accessible. Even so, I'm recommending it: like some government reports it's significant enough to make it necessary to wade through the bureaucrat speak. Why paradoxes? Dignum identifies two ways we can think about paradoxes (oddly I wrote about paradoxes recently , but with three definitions): a logical paradox such as 'this statement is false', or a paradoxical truth such as 'less is more' - the second of which seems a better to fit to the use here.  We are then presented with eight paradoxes, each of which gives some insights into aspects of t...

Einstein's Fridge - Paul Sen ****

In Einstein's Fridge (interesting factoid: this is at least the third popular science book to be named after Einstein's not particularly exciting refrigerator), Paul Sen has taken on a scary challenge. As Jim Al-Khalili made clear in his excellent The World According to Physics , our physical understanding of reality rests on three pillars: relativity, quantum theory and thermodynamics. But there is no doubt that the third of these, the topic of Sen's book, is a hard sell. While it's true that these are the three pillars of physics, from the point of view of making interesting popular science, the first two might be considered pillars of gold and platinum, while the third is a pillar of salt. Relativity and quantum theory are very much of the twentieth century. They are exciting and sometimes downright weird and wonderful. Thermodynamics, by contrast, has a very Victorian feel and, well, is uninspiring. Luckily, though, thermodynamics is important enough, lying behind ...