Skip to main content

What is the Name of This Book? - Raymond Smullyan ***

This classic recreational mathematics title, based on logic problems (thanks to Tim Harford for the recommendation) dates back to 1978, though it feels as if it might have been written forty years earlier from the type of humour it features, a feeling enhanced by the publisher's decision to reprint it by scanning an old edition, rather than resetting it.

There is some excellent material in here, some familiar, others still with a novel edge today. There are some basic challenges - for example we're looking at a picture and told 'Brothers and sisters have I none, but this man's son is my father's son' and asked whose picture it is, plus some catch-you-out puzzles such as asking in which country you'd bury the survivors of a plane that crashes right on the border of the US and Canada. But the meat and drink of the book is a whole slew of puzzles where we are required to deduce something from a set of logical statements.

Many of these puzzles are based on variants of a situation where there are two different kinds of people, one type who who always lies and the other type who always tells the truth (sometimes there is a third kind who might do either). These problems come in all sorts of variants featuring knights and knaves, Dracula, zombies and more, but the basic principles are aways the same, though the combinations become more and more convoluted. There are also a very similar feeling set of puzzles where a number of statements are put against each other, such as caskets with labels on that indicate between them where treasure is located. And we also get some consideration of the extremes where logical statements become meaningless, such as 'This statement is false.'

The truth/lie problems take up significantly more than half of the book, and after the first few I did find these too much like work rather than fun and couldn't be bothered to work them out. The fun in mathematical puzzles and diversions comes from novelty - when you are presented with one problem after another that is just a variant on the previous one, it becomes hard to retain much enthusiasm.

There were also some examples of logic problems that suffer very badly from the 'only one solution' fallacy, which can be a failing in mathematicians. One that's in the book involves a person who every day leaves his flat on (say) the 25th floor and every evening comes home but gets out on (say) the 23rd floor. Why? Raymond Smullyan gives us the traditional 'right' answer - but I've used this as an exercise in creativity sessions and had more than 20 right different, equally valid, right answers proposed. This is the difference between problems set in the real world and those in a mathematical world where you can have someone who 'always lies'.

There's also something of an oddity in that Smullyan repeatedly asks us through the book 'What is the name of this book?' I was expecting some kind of clever-clever response like 'What' (because 'What' is the name of this book), although the question mark at the end of the title rather precludes it being a statement. But Smullyan responds 'Well, the name of the book is "What is the Name of This Book?". Since that is what's printed on both the cover and the spine, it's hard to be surprised. I can only guess that, since the illustration has most of the title ripped off, that the original version didn't also have the full title printed on it. Otherwise it's a very limp ending.

Overall, there's some excellent material here, but if you stripped out the dated humour and the repetition of variants on the same problem, what's left is probably not much more than a long magazine article.

Paperback:

Using these links earns us commission at no cost to you
Labels:

Comments

Post a Comment

Popular posts from this blog

The Meteorite Hunters - Joshua Howgego *****

This is an extremely engaging read on a subject that everyone is aware of, but few of us know much detail about. Usually, if I'm honest, geology tends to be one of the least entertaining scientific subjects but here (I suppose, given that geo- refers to the Earth it ought to be astrology... but that might be a touch misleading). Here, though, there is plenty of opportunity to capture our interest. The first part of the book takes us both to see meteorites and to hear stories of meteorite hunters, whose exploits vary from erudite science trips to something more like an Indiana Jones outing. Joshua Howgego takes us back to the earliest observations and discoveries of meteorites and the initial doubt that they could have extraterrestrial sources, through to explorations of deserts and the Antarctic - both locations where it tends to be easier to find them. I, certainly, had no idea about the use of camera networks to track incoming meteors, which not only try to estimate where they wi...
Post a Comment
Read more

Phenomena - Camille Juzeau and the Shelf Studio ****

I am always a bit suspicious of books that are highly illustrated or claim to cover 'almost everything' - and in one sense this is clearly hyperbole. But I enjoyed Phenomena far more than I thought I would. The idea is to cover 125 topics with infographics. On the internet these tend to be long pages with lots of numbers and supposedly interesting factoids. Thankfully, here the term is used in a more eclectic fashion. Each topic gets a large (circa A4) page (a few get two) with a couple of paragraphs of text and a chunky graphic. Sometimes these do consist of many small parts - for example 'the limits of the human body' features nine graphs - three on sporting achievements, three on biometrics (e.g. height by date of birth) and three rather random items (GNP per person, agricultural yields of various crops and consumption of coal). Others have a single illustration, such as a map of the sewers of Paris. (Because, why wouldn't you want to see that?) Just those two s...
Post a Comment
Read more

Against the Odds - John Gribbin and Mary Gribbin ****

The number of women working in STEM subjects has expanded dramatically, but as John and Mary Gribbin make clear, in the history of science this is a very recent occurrence. Here, they bring us the stories of 12 women, from Eunice Newton Foote, born in 1819, to Vera Rubin, born in 1928 - effectively covering nearly 200 years in that Rubin died as recently as 2016. There are some names that will already be familiar from popular science histories (and deservedly so). You will find, for instance, Dorothy Hodgkin and Rosalind Franklin represented. But there are plenty like Foote that few will have come across, including Inge Lehmann, Chien-Sung Wu and Lucy Slater. While arguably Foote is there primarily to demonstrate the difficulties she faced (her discovery of an aspect of greenhouse gas behaviour was independently bettered within weeks), the rest have all made significant discoveries or developments against the odds and often missed out the recognition the deserved. The most prominent ob...
Post a Comment
Read more