Skip to main content

Are Numbers Real - Brian Clegg *****

To use Brian Clegg's own words, the question as to whether numbers are real seems, at first, 'like a crazy question.'  In my mind, numbers are somewhat like natural language, in that one could argue that we don't consciously think about our native language when using it - it just happens and flows out of us.  When we have thoughts, it's interesting to ask whether one was thinking those thoughts in words, and, therefore, whether one can have a thought without having available a language in which to structure them.  

As numbers obviously don’t exist in a physical sense - you can't trip over the number ‘2’ in the street - one might conclude that, as in the language case, numbers exist only in thought.  To answer such things one might decide to conduct an experiment, to observe the reasoning process.  Sadly, to do so is like observing which slit a particle passes through in the famous double-slit experiment from quantum mechanics; when an observation is made, the effect of the observation crashes the experiment.  It would seem that the machine (the mind) cannot watch itself in operation and observe its own subtle workings.

UK edition
In the book, Clegg takes us from aspects of mathematics which seem very natural - even suggesting in an entertaining way how a basic number system could be developed as a result of lending someone your goats - to those which certainly do require conscious thought and seem very far removed from the world, though paradoxically this kind of mathematics is used to drive the way that physics currently explores reality. It's both a brief history of the human love-hate relationship with maths and a look at the way that what was once clearly a direct representation of the physical has become a language and reality of its own.

In Are Numbers Real? Clegg tackles what is a very deep question in his usual way: with clarity, wit and a wonderfully clear narrative writing style.  Not only does he tackle a wide variety of subjects to seek out the truth of the matter, he does so in an engaging and hugely accessible way.  I personally couldn’t put it down and as an active researcher in the field itself, it has provided me with some very, um, real food for thought.

Hardback (UK paperback):  
Kindle:  
Review by Peet Morris
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

Popular posts from this blog

UFO Drawings from the National Archives - David Clarke ***

This is a lovely little book that, sadly, not every reader will see the point of. If somebody’s anecdotal account of a presumed alien encounter is obviously a misperception of a mundane occurrence, or else too vague – or too far-fetched – to be taken seriously, then it’s all too easy to dismiss it as worthless. But that’s missing the point. The fact that so many incidents are reported in these terms makes the witnesses’ testimony worthy of serious study – to teach us, not about extraterrestrial civilisations, but about our own culture.

That was the core message of David Clarke’s excellent How UFOs Conquered the World published a couple of years ago. Now Clarke is back with another take on the same basic theme.  His day job is Reader and Principal Lecturer in Journalism at Sheffield Hallam University, but for the last ten years he’s also acted as consultant for the National Archives project to release all of Britain’s official Ministry of Defence (MoD) files on UFOs. Throughout the Cold…

Crashing Heaven (SF) - Al Robertson ****

There's an engaging mix of powerful thriller and science fiction in this impressive novel. After the Earth has been rendered uninhabitable, human life is limited to vast space station. Our central character, Jack, has a symbiotic artificial intelligence, Hugo Fist, designed to destroy other AIs in a mysterious collective that is said to have committed an atrocity - but with a kick in the tail that because of an unbreakable contract, Fist will take over Jack's body in a few weeks' time.

Al Robertson packs remarkable technology concepts into the cyber side of this story, from AI corporations that act as a pantheon of gods to the 'puppet' that is Fist (he usually come across as a virtual cross between Mr Punch and an evil ventriloquist's dummy). Robertson does all the cyber stuff so well that it's easy to miss that this is, in effect, a myth in electronic clothing - you could substitute the myths of 'real' Greek gods and magic for what happens here. Alt…

The Science of Food - Marty Jopson ****

This is a tasty little volume, packed with kitchen-based science. I must admit, when I saw that the author was the One Show's science expert and Marty Jopson's author photo has that 'Hey, I'm a mad scientist, kids!' look, my heart fell - I was sure the book would be the written equivalent of a 'Wow, look, aren't I clever, I can make this go bang!' science show - but, in fact, it's packed full of (appropriately) meaty scientific content.

I was really pleased that Jopson didn't stick purely to the chemistry of cooking, but launched with the working of some familiar kitchen gadgets - there was genuinely fascinating reading to be had about apparently humdrum equipment in the form of the physics and materials science of a knife and chopping board. And Jopson took us into industrial kitchens too, to reveal, for example, the remarkable process required to make puffed wheat.

Inevitably, the chemistry of cooking - how, for example, proteins denature and em…