Mathematical Intelligence - Junaid Mubeen ***

This is a strange one. It's sort of about AI and making it better, and it's sort of about how wonderful mathematics is (and mathematicians are) and why real maths not like the boring stuff we do at school. Whether or not you think this might appeal I would advise skipping the painfully long introduction (36 pages, but it feels like more).

When it comes to the main text, Junaid Mubeen splits down the way humans do things and artificial intelligence doesn't into seven headings: estimation, representations, reasoning, imagination, questioning, temperament and collaboration. The first of these is by far the best, stressing the way that humans don't actually work numerically like computers beyond relatively small numbers. Of course we can do the sums for bigger numbers, but that's where it becomes an effort, where we more naturally deal with approximation.

In each section, Mubeen is looking at what the limitations are for AI, how humans do it and how we can learn from what mathematicians do. This last part was for me by far the least interesting (and that's as someone with a Masters in an applied maths subject) - I can't see it appealing much except to mathematicians or ex-mathematicians like Mubeen.

The bits on AI and its limitations were quite interesting, though there are now a lot of books on this subject - and since reading Elena Esposito's Artificial Communication, I think many such books frame the problem incorrectly. There is some of that here - Mubeen seems to assume it is possible to move from current AI's approach to actual artificial intelligence (and to think that self-driving cars are close to being feasible in the real world, as opposed to California) - but having said that, the seven areas are quite insightful and help underline how far AI is from actual intelligence.

An interesting book in principle, then, but I didn't enjoy it because the mathematical focus didn't work well and was a distraction from the more interesting parts.

Hardback:

Kindle:
Using these links earns us commission at no cost to you
Review by Brian Clegg - See all of Brian's online articles or subscribe to a weekly digest for free here

Comments

Rakhat-Bi Abdyssagin Five Way Interview

Rakhat-Bi Abdyssagin (born in 1999) is a distinguished composer, concert pianist, music theorist and researcher. Three of his piano CDs have been released in Germany. He started his undergraduate degree at the age of 13 in Kazakhstan, and having completed three musical doctorates in prominent Italian music institutions at the age of 20, he has mastered advanced composition techniques. In 2024 he completed a PhD in music at the University of St Andrews / Royal Conservatoire of Scotland (researching timbre-texture co-ordinate in avant- garde music), and was awarded The Silver Medal of The Worshipful Company of Musicians, London. He has held visiting affiliations at the Universities of Oxford, Cambridge and UCL, and has been lecturing and giving talks internationally since the age of 13. His latest book is Quantum Mechanics and Avant Garde Music . What links quantum physics and avant-garde music? The entire book is devoted to this question. To put it briefly, there are many different link...

Should we question science?

I was surprised recently by something Simon Singh put on X about Sabine Hossenfelder. I have huge admiration for Simon, but I also have a lot of respect for Sabine. She has written two excellent books and has been helpful to me with a number of physics queries - she also had a really interesting blog, and has now become particularly successful with her science videos. This is where I'm afraid she lost me as audience, as I find video a very unsatisfactory medium to take in information - but I know it has mass appeal. This meant I was concerned by Simon's tweet (or whatever we are supposed to call posts on X) saying 'The Problem With Sabine Hossenfelder: if you are a fan of SH... then this is worth watching.' He was referencing a video from 'Professor Dave Explains' - I'm not familiar with Professor Dave (aka Dave Farina, who apparently isn't a professor, which is perhaps a bit unfortunate for someone calling out fakes), but his videos are popular and he...

Everything is Predictable - Tom Chivers *****

There's a stereotype of computer users: Mac users are creative and cool, while PC users are businesslike and unimaginative. Less well-known is that the world of statistics has an equivalent division. Bayesians are the Mac users of the stats world, where frequentists are the PC people. This book sets out to show why Bayesians are not just cool, but also mostly right. Tom Chivers does an excellent job of giving us some historical background, then dives into two key aspects of the use of statistics. These are in science, where the standard approach is frequentist and Bayes only creeps into a few specific applications, such as the accuracy of medical tests, and in decision theory where Bayes is dominant. If this all sounds very dry and unexciting, it's quite the reverse. I admit, I love probability and statistics, and I am something of a closet Bayesian*), but Chivers' light and entertaining style means that what could have been the mathematical equivalent of debating angels on...

Search This Blog