I recently received an advance review copy of historian and philosopher Richard Carrier's new book, Proving History: Bayes' Theorem and the Quest for the Historical Jesus.
The book belongs to a two-volume work on the Historical Jesus that argues for two major claims:
- Correct historical method is Bayesian. (The first book.)
- The application of this method to our data concerning the Historical Jesus strongly suggests that Jesus never existed. (The second book.)
Claim #1 might provoke a yawning "Yes, of course..." from many scientists and philosophers, but both claims are currently heretical in the field of Jesus Studies, which shows many signs of being an unsound research program in general. The book is written for a mass audience, but is also aimed at historians in general. It is, as far as I know, the first book to lay out the detailed case for why historians should be using Bayesian methods. (For an overview of the other methods historians typically use, see Justifying Historical Descriptions.)
Though the Bayesian revolution of the sciences has already slammed into archaeology and a few other fields of historical inquiry, it has not yet overwhelmed mainstream historical inquiry. Carrier's book may be seen as the first salvo in that attack, but this makes me wish his case had not been presented in the context of such a parochial and disreputable sub-field of history as Jesus Studies. No chapter in the book discusses the evidence concerning the historicity of Jesus in much detail, and it clearly isn't necessary to make Carrier's points, so why poison the presentation of such a clear and powerful case (in favor of Bayesian historical methods) by marinating it in such a disreputable field (Jesus Studies), and with anticipation of a startling conclusion almost everyone disagrees with (Jesus myth theory)? (For the record, I take Jesus myth theory pretty seriously, but most people don't.)
Chapter 3 is a tutorial on Bayes' Theorem, similar to Carrier's Skepticon IV talk. Chapter 4 provides an analysis of non-Bayesian methods of historical analysis, showing that they are wrong in exactly the degree to which they depart from the Bayesian method. Chapter 5 provides a similar analysis of typical "Historicity Criteria" used in Jesus Studies, e.g. "multiple attestation." The final chapter tackles some more detailed issues with the application of Bayes' Theorem, for example the interaction between frequentism and Bayesianism.
At first, the contents of Proving History seemed too obvious and underwhelming for me to strongly recommend it. Then I remembered that no other book I've read on historical methodology or the Historical Jesus had correctly used probability theory to justify its judgments. Which means that Proving History may actually be the best book yet written in either field.
Boy, do I ever agree with this. I would love to be able to cite Carrier's work (edit: that is, his methodological program) without appearing to take on the baggage of interest in an area that is simultaneously irrelevant and mindkilling -- that is, in which having opinions might be taken as chiefly an indication of tribalism.
Certainly, to really get the attention of historians who might benefit from using Bayes, it does make sense to present the method in conjunction with an application of the method -- preferably one that leads to a really striking, counterintuitive claim being argued for. But the cultural loadedness of using Jesus studies seems likely to forestall Carrier's work having that result.
Tangentially: Perhaps it's emblematic that McCullagh's (non-Bayesian) Justifying Historical Descriptions has a preface that concludes with these sentences: "Finally I would like to acknowledge what I believe to have been God's guidance and support in the production of this book. It is just a pity that the clay He had to mould was so recalcitrant! Please praise Him for what is true in it, and forgive me for what is not." McCullagh does, in fact, present some useful heuristics for historians to use.
By the way, I came across an example of Bayesian methods being employed in a music theory paper. Since you're probably more familiar with the recent theoretical literature than I am, do you perhaps know whether this is a trend?
(I think Bayes does belong in music theory, but the way I have in mind is a bit different from what we see in that paper.)