@kennethamy,
kennethamy;105460 wrote:The literature is very long.
... that's what I was afraid of - the lack of solutions to problems like Gettier's typically isn't for a lack of trying
Anyhoo, the logical difference between Gettier's problem and ACB's problem appears to be one of belief combination and how the specifics of the process of combination get "lost in the translation" ... in ACB's problem, no beliefs are combined - B1 is simply "I believe my friend is in France" (as generalized from B2, "I am justified in believing my friend is in Paris") ... in Gettier's problem, however,
two beliefs are being combined: "Smith is justified in believing Jones will get the job" and "Smith is justified in believing Jones has 10 coins in his pocket" are combined and generalized into "Smith believes that the man who gets the job has 10 coins in his pocket." ... the key here is that the latter belief was brought in on the condition of the former belief, but this conditionality has been lost during the combination/generalization (this may have already been mentioned earlier in this thread) ... to turn ACB's problem into a Gettier-like problem requires adding a second (and conditional) belief into the fray and then generalizing on the first, such as combining "I believe my friend Jones is in France" and "I believe my friend Jones wants to visit the Lascaux cave paintings" into "I believe a friend of mine is in France and will visit the Lascaux cave paintings" (when in fact it turns out that Jones had to cancel and gave his travel arrangements to my friend Smith).
EDIT: I dunno though - this still doesn't strike me as being the whole story ... ... ...
EDIT II: For example, what happens when you try to turn the Gettier problem into an ACB-like problem?:
A1 Smith believes that a man will get the job (as inferred from A2)
A2 Smith is justified in believing that Jones will get the job
A3 Smith gets the job
A4 Intuitively, Smith still did not know A1 (in contrast with ACB's problem)