I said the distinctions have become more blurred
I thought you were saying that the distinctions have become less blurred? Now I'm confused.
I define philosophy, math, and science by their professions.
That's fine for some everyday purposes. But if we want to distinguish the useful behaviors in each profession from the useless ones, and promote the best behaviors both among laypeople and among professionals, we need more fine-grained categories than just 'everything that people who publish in journals seen as philosophy journals do.' I think it would be useful to distinguish Professional Philosophy, Professional Science, and Professional Mathematics from the basic human practices of philosophizing, doing science, or reasoning mathematically. Something in the neighborhood of these ideas would be quite useful:
mathematics: carefully and systematically reasoning about quantity, or (more loosely) about the quantitative properties and relationships of things.
philosophy: carefully reasoning about generalizations, via 'internal' reflection (phenomenology, thought experiments, conceptual analysis, etc.), in a moderately (more than shamanic storytelling, less than math or logic) systematic way.
science: carefully collecting empirical data, and carefully reasoning about its predictive and transparently ontological significance.
Do you think these would be useful fast-and-ready definitions for everyday promotion of scientific, philosophical, and mathematical literacy? Would you modify any of them?
I thought you were saying that the distinctions have become less blurred?
Yup, my bad. You caught me before my edit.
Do you think these would be useful fast-and-ready definitions for everyday promotion of scientific, philosophical, and mathematical literacy? Would you modify any of them?
I think you're reifying abstraction and doing so will introduce pitfalls when discussing them. Math, science, and philosophy are the abstracted output of their respective professions. If you take away science's competitive incentive structure or change its mechanism of...
Consider these two versions of the famous trolley problem:
Here it is: a standard-form philosophical thought experiment. In standard analytic philosophy, the next step is to engage in conceptual analysis — a process in which we use our intuitions as evidence for one theory over another. For example, if your intuitions say that it is "morally right" to throw the switch in both cases above, then these intuitions may be counted as evidence for consequentialism, for moral realism, for agent neutrality, and so on.
Alexander (2012) explains:
In particular, notice that philosophers do not appeal to their intuitions as merely an exercise in autobiography. Philosophers are not merely trying to map the contours of their own idiosyncratic concepts. That could be interesting, but it wouldn't be worth decades of publicly-funded philosophical research. Instead, philosophers appeal to their intuitions as evidence for what is true in general about a concept, or true about the world.
In this sense,
But anyone with more than a passing familiarity with cognitive science might have bet in advance that this basic underlying assumption of a core philosophical method is... incorrect.
For one thing, philosophical intuitions show gender diversity. Consider again the Stranger and Child versions of the Trolley problem. It turns out that men are less likely than women to think it is morally acceptable to throw the switch in the Stranger case, while women are less likely than men to think it is morally acceptable to throw the switch in the Child case (Zamzow & Nichols 2009).
Or, consider a thought experiment meant to illuminate the much-discussed concept of knowledge:
When presented with this vignette, only 41% of men say that Peter "knows" there is a watch on the table, while 71% of women say that Peter "knows" there is a watch on the table (Starman & Friedman 2012). According to Buckwalter & Stich (2010), Starmans & Friedman ran another study using a slightly different vignette with a female protagonist, and that time only 36% of men said the protagonist "knows," while 75% of women said she "knows."
The story remains the same for intuitions about free will. In another study reported in Buckwalter & Stich (2010), Geoffrey Holtman presented subjects with this vignette:
In this study, only 35% of men, but 63% of women, said a person in this world could be free to choose whether or not to murder someone.
Intuitions show not only gender diversity but also cultural diversity. Consider another thought experiment about knowledge (you can punch me in the face, later):
Only 26% of Westerners say that Bob "knows" that Jill drives an American car, while 56% of East Asian subjects, and 61% of South Asian subjects, say that Bob "knows."
Now, consider a thought experiment meant to elicit semantic intuitions:
When presented with this vignette, East Asians are more likely to take the "descriptivist" view of reference, believing that John "is referring to" Schmidt — while Westerners are more likely to take the "causal-historical" view, believing that John "is referring to" Gödel (Machery et al. 2004).
Previously, I asked:
For one thing, we would never assume that people of all kinds would share our intuitions.
Next post: Philosophy Needs to Trust Your Rationality Even Though It Shouldn't
Previous post: Living Metaphorically