It's not going to happen because it would disqualify too many candidates and make courses unpopular. Maths is a huge turn off for a lot of people.
Indeed. This is a bug, not a feature, and alas, it holds these fields back.
Also, one could argue that history is releant to just about everything. Etc.
It is certainly true that history-of-(field) is useful for people doing work in (field). History in general, while useful in general, is less directly useful for a specific field. And indeed, most fields do spend reasonable (or more than reasonable!) amounts of time discussing their own history. Art does this, philosophy does this, even mathematics and physics do this to some extent.
It is true that the argument "one could argue that (some field) is relevant to just about everything and that therefore more of (this field) should be taught" can be made convincingly for many fields, but the fact that it can be made for many fields is not an argument against it, it just means that some field must be prioritized, hopefully on utilitarian grounds.
It's not going to happen because it would disqualify too many candidates and make courses unpopular. Maths is a huge turn off for a lot of people.
Indeed. This is a bug, not a feature, and alas, it holds these fields back.
I disagree that this is a bug, not a feature. I think it's useful for fields to contain people with different styles of thinking. The people who are competent at math are probably N types on the MBTI, people who are good at abstract reasoning, but who might be less competent at focusing on empirical data and specific concrete situa...
Part of the sequence: Rationality and Philosophy
Bertrand Russell
I've complained before that philosophy is a diseased discipline which spends far too much of its time debating definitions, ignoring relevant scientific results, and endlessly re-interpreting old dead guys who didn't know the slightest bit of 20th century science. Is that still the case?
You bet. There's some good philosophy out there, but much of it is bad enough to make CMU philosopher Clark Glymour suggest that on tight university budgets, philosophy departments could be defunded unless their work is useful to (cited by) scientists and engineers — just as his own work on causal Bayes nets is now widely used in artificial intelligence and other fields.
How did philosophy get this way? Russell's hypothesis is not too shabby. Check the syllabi of the undergraduate "intro to philosophy" classes at the world's top 5 U.S. philosophy departments — NYU, Rutgers, Princeton, Michigan Ann Arbor, and Harvard — and you'll find that they spend a lot of time with (1) old dead guys who were wrong about almost everything because they knew nothing of modern logic, probability theory, or science, and with (2) 20th century philosophers who were way too enamored with cogsci-ignorant armchair philosophy. (I say more about the reasons for philosophy's degenerate state here.)
As the CEO of a philosophy/math/compsci research institute, I think many philosophical problems are important. But the field of philosophy doesn't seem to be very good at answering them. What can we do?
Why, come up with better philosophical methods, of course!
Scientific methods have improved over time, and so can philosophical methods. Here is the first of my recommendations...
More Pearl and Kahneman, less Plato and Kant
Philosophical training should begin with the latest and greatest formal methods ("Pearl" for the probabilistic graphical models made famous in Pearl 1988), and the latest and greatest science ("Kahneman" for the science of human reasoning reviewed in Kahneman 2011). Beginning with Plato and Kant (and company), as most universities do today, both (1) filters for inexact thinkers, as Russell suggested, and (2) teaches people to have too much respect for failed philosophical methods that are out of touch with 20th century breakthroughs in math and science.
So, I recommend we teach young philosophy students:
(In other words: train philosophy students like they do at CMU, but even "more so.")
So, my own "intro to philosophy" mega-course might be guided by the following core readings:
(There are many prerequisites to these, of course. I think philosophy should be a Highly Advanced subject of study that requires lots of prior training in maths and the sciences, like string theory but hopefully more productive.)
Once students are equipped with some of the latest math and science, then let them tackle The Big Questions. I bet they'd get farther than those raised on Plato and Kant instead.
You might also let them read 20th century analytic philosophy at that point — hopefully their training will have inoculated them from picking up bad thinking habits.
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