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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.


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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.


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