A Brief History of Infinity – Brian Clegg *****

Clegg has an amiable, easy style; he chats us through complex ideas rather than lecturing to us. Like other good science populists (Isaac Asimov springs immediately to mind), he explores his subject through narrative and anecdote: hanging discussions of infinity onto their historical development puts flesh onto what might easily be dry bones in other writers' hands, and so we have a tour of fascinating personalities and slices of history, a subject breathed into life.Brian Clegg has just had me revisiting areas of mathematics I haven't even considered since university. And I enjoyed it.

We human beings have trouble with infinity. Philosophers and mathematicians have gone mad contemplating its nature and complexity – and yet it is a concept now routinely used by schoolchildren. In this highly entertaining and stimulating history, Brian Clegg takes us on a tour of that borderland between the extremely large and the ultimate, from Archimedes counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite.

Full of unexpected delights, the history of infinity proves to be a surprisingly human subject. Whether it’s St Augustine contemplating the nature of creation, Newton and Leibniz battling over the ownership of calculus or Cantor’s struggle to publicize his vision of the transfinite, infinity’s fascination remains the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Exploring the infinite is nothing more than a journey into paradox.
Although infinity is touched on in many places, as far as we are aware this is the only popular exploration of infinity around – and well worth getting hold of.

Paperback:

Kindle:

Audio download:

Using these links earns us commission at no cost to you

Review by Peter Spitz & Keith Brooke (originally on Infinity Plus)

Please note, this title is 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

Mathematics with Love – Mary Stopes-Roe *****

Admittedly it’s early days (this review is written in January), but this, for me, is the surprise hit of the year so far! I approached this book with trepidation, but found it absolutely delightful. It is described on the cover as the “courtship correspondence of Barnes Wallis, inventor of the bouncing bomb”, and contains a series of letters between Wallis and his cousin and eventual wife Molly Bloxham, along with some useful annotation by their daughter, Mary. The courtship itself is not without difficulties, as Wallis was 18 years older than the 17-year-old Molly at the start of the correspondence, and her father, not surprisingly, wasn’t too pleased about the interest of such an elderly suitor, but that isn’t the only reason the letters are interesting – it’s also because of maths, and Wallis’s position in the UK as the engineering hero of the Second World War. (Incidentally, it seemed very strange to see letters addressed to “Barnes” – I had always assumed Barnes Wallis was a ...

Why Nobody Understands Quantum Physics - Frank Verstraete and Céline Broeckaert **

It's with a heavy heart that I have to say that I could not get on with this book. The structure is all over the place, while the content veers from childish remarks to unexplained jargon. Frank Versraete is a highly regarded physicist and knows what he’s talking about - but unfortunately, physics professors are not always the best people to explain physics to a general audience and, possibly contributed to by this being a translation, I thought this book simply doesn’t work. A small issue is that there are few historical inaccuracies, but that’s often the case when scientists write history of science, and that’s not the main part of the book so I would have overlooked it. As an example, we are told that Newton's apple story originated with Voltaire. Yet Newton himself mentioned the apple story to William Stukeley in 1726. He may have made it up - but he certainly originated it, not Voltaire. We are also told that ‘Galileo discovered the counterintuitive law behind a swinging o...

On Time - Jim Al-Khalili *****

By a small margin Jim Al-Khalili's The World According to Physics is my favourite of his books, both because the 'three pillars' concept at its heart works so well - but also because it's short. On Time is somewhat heavier, but thankfully not a wrist-buster. It might seem at first sight odd that a book on a subset of physics is considerably longer than one covering the whole thing, but time is one of those subjects that inevitably involves considerable complexities and needs depth. As Al-Khalili establishes, it's hard to think of any other scientific concept where our perception of it - what he refers to as manifest time or psychological time - is so different from the view from physics. Some physicists go so far as to suggest that time doesn't exist at all. In the book, Al-Khalili sets out (to my mind quite successfully) both to explain why they think this is the case, but also why it's not the best interpretation of time. I'd certainly note that I...

Search This Blog