There's a lively literature on how graded beliefs (credences) relate
to ungraded beliefs. Some hold that ungraded beliefs are reducible to
credences, others that credences are reducible to ungraded beliefs; yet
others hold that both are real and irreducible to one another. I find
this debate confusing. By which of course I mean: confused. I'll try to
explain why. I'll also comment on one particular proposal, that
credences are beliefs about probability; an interestingly new version of
this has just been defended in Buchanan and Dogramaci
2026.
First, why I find the debate confusing. Imagine a parallel debate
about desire. Desires patently vary in strength: we desire some things
more than others. In decision theory, an agent's desires are represented
by a utility (or "desirability") function that assigns numbers to
propositions; the higher the number, the stronger the desire. Now
imagine someone asks how these graded desires relate to ungraded
desires: are graded desires reducible to ungraded ones, or the other way
round?
"Neg-raising" occurs when a negation that appears to have wide scope
(over some operator) is interpreted as having narrow scope. For example,
(1) conveys not only the absence of a belief that pizza is available (as
one might expect), but also the presence of a belief that pizza is
unavailable.
(1)I don't think there's any pizza.
There is a large literature on this phenomenon, with many competing
explanations. Foolishly, I've tried to contribute to this literature
with a new proposal.
My proposal is that neg-raising is an instance of a more general
phenomenon whereby negative utterances are interpreted as conveying
positive information. (2), for example, tends to convey not only that
Jack didn't sing Hey Jude, but also that Jack sang something
else – especially if Hey Jude has intonational focus.
Gerritsen
2023 raises a good worry about revolutionary moral fictionalism,
as advocated in Joyce
2001.
The (revolutionary moral) fictionalist says that our naive moral
practice rests on the mistaken assumption that there are
mind-independent moral facts. There are no such facts. But this doesn't
mean that we should stop caring about morality. It is in our personal
interest, according to the fictionalist, to adopt a fiction of morality
and continue talking and acting much like before.