This is an absolutely fascinating book for anyone interested in the way that science really works, bearing in mind the difficulties of having to base our models and theories on induction. Andrew Jaffe introduces the difficulties we face when trying to take a scientific view because largely we are dependent on induction: predicting the future from what has previously been observed. He explores what probability is, the two key ways of looking at it (frequentist and Bayesian) and how scientists use (or misuse it) to work out the implications of their experiments for hypotheses. This is then expanded into looking at the nature of scientific models and the philosophy of science before heading out to entropy, quantum randomness and attempting to achieve meaningful cosmology with its potential dearth of evidence. The topic might sound a little dry, but in fact Jaffe does it with good humour and a very readable style. For example, he uses measuring his daughter's height by making marks on...