On 01 Jun 2016, at 21:05, Brent Meeker wrote:
On 6/1/2016 5:03 AM, Bruno Marchal wrote:
In fact my definition of rational belief is very simple: a machine
beliefs p if she asserts p. Then I limit myself to rational
believers because it would be nonsense to interview a non rational
machine to derive rationally, following the UDA prescription, the
correct physics or the correct theology.
But what does "rational" mean? I think you mean "proves all valid
theorems from some set of axioms", which is not what it means when
applied to humans.
It means: does not deny the consequences of its/her/his beliefs.
Brent
Note that correct beliefs does NOT mean knowledge (in the sense of
the machine). The machine is not aware, and never will, that her
beliefs are in general correct. Knowledge, contrarily is correct
*by definition*, as it is formally defined, at the necessary meta-
level, by correct-beliefs. This is a subtle but extremely important
point made possible only thanks to incompleteness. (For those who
have the book by Gerson on Antic Epistemology, that is the precise
point where Gerson critics of the Theatetus" definition of
knowledge get wrong: it is the difference between a belief which
happen to be correct, and a belief restricted (non constructively)
to correct proposition).
The goal is to derive physics and theology, not human psychology.
Bruno
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