You are a tenured professor at a medium-sized public university. The Interdisciplinary Gods have smiled upon you, and you have been handed an operating grant, office space, and broad design powers to create an advanced interdisciplinary degree1 in "Rationality" (you suspect your department head reads LessWrong). Your students will come from a broad range of disciplines, and you cannot assume that they will posses any particular prior knowledge.
Candidates in your program could take courses in any department, as long as you have personally approved a course as eligible for credits. [ETA] All admitted students will be awarded tuition wavers and living wages. A compelling ROI calculation was a requirement for admission, and all students have demonstrated some impressive real-world accomplishments.
You thumb through your University's course register2, seeing a long list of courses in a variety of disciplines: Anthropology to Writing and Humanistic Studies. Without some constraints, you think, this degree will be incoherent.
Which do you include?
[1] To avoid tangential conversation, don't worry about what sort of degree. This could be the course load for a PhD/MBA/MA/etc.
[2] If it helps you think this through, use the MIT OCW listings to make suggestions. HT: nerzhin
Any sort - as long as it teaches you the standard notation and basic identities (including Bayes' theorem, so in that sense Bayesian :P ). My reasoning is that I'd have to spend two or three weeks covering the basics of probability if I didn't require it, and statistics is a useful life skill so requiring it wouldn't waste very many peoples' time.
Of course at some point I could mention that probabilities usually come from reasoning from incomplete information, which is a property of you and not the world. That really only takes a paragraph if you're already covering map and territory.