On 11 Sep 2017, at 11:23, David Nyman wrote:
On 11 Sep 2017 9:22 a.m., "Bruno Marchal" <[email protected]> wrote:
On 10 Sep 2017, at 22:25, Brent Meeker wrote:
On 9/10/2017 10:24 AM, Bruno Marchal wrote:
So I assume elementary arithmetic; I prove the existence of the
universal number(s), then I define a notion of rational belief
"scientific belief", (Plotinus discursive reasoner) by Gödel's
(sigma_1 arithmetical) beweisbar Bp. That makes sense, due to
incompleteness which prevent provability to be a notion of knowledge.
This seems problematic to me. I understand why you do it; because
you want knowledge to be true belief (not just true provable
belief). But this does violence to the usual meaning of knowledge
(c.f. Getteir for example).
Yes. Incompleteness makes provability into belief instead of
knowledge. Gödel mention this already in 1933.
It means that given some undecidable proposition one of us can
assert it and the other deny it, and then one of us will know it. ??
Ih he proves it (correctly or not). Knowledge is Bp & p, which is
impossible if p is not provable (~Bp). We just cannot know an
undecidable (by us) proposition, by definition, although we can bet
on it, but then it is different kind of knowledge (closer to Bp & Dt).
That we can know for bad reason is the ultimate lesson of the dream
argument. People like Malcom who dislike Mechanism are forced into
disbelieving the existence of consciousness in dreams, as he did.
Yes, I think the difficulty Brent may be having with this is that
the notion of belief in play here is to be understood as ramifying
in some limit (delineated by the FPI) to that of physical structure
and action.
That follows once we assume the mechanist hypothesis.
Consequently it constitutes, in the first place, an idiosyncratic
commitment to truths that may or may not correspond, in part or in
whole, to what is more generally 'believed'. Nonetheless,
commitments of this sort cannot be disentangled from their own
proper, and equally undoubtable, truth values, however misleading
these may ultimately turn out to be in a wider context. They are, as
you say, more in the nature of bets on a reality,
In this case it is a weaker bet on absence of change in consciousness
for some self-transformation, but OK, that is the "reality" in the
sense of "Dt", arguably.
which in general of course is consistent with the unavoidable rigour
of an evolutionary logic. This is the crucial distinction between
primary or perceptual undoubtability and secondary reliability that
I've previously remarked on. And as is indeed the case with any
serious bet, they represent an inescapable commitment that puts the
bettor permanently at hazard.
OK.
It seems to me also that there are nested levels of such beliefs and
their associated truths. Hence what is, at a certain level, an
idiosyncratic commitment to what we would normally think of as
something non veridical, as in a dream, may be nested within a more
general or systemic commitment to a consistent and more generally
shared physical reality (i.e. what will appear in phenomenal terms
as a brain and its generalised environment).
Probably, but the initial nested "levels" we have should be given by
the hypostases p, Bp, etc. and also the graded B^n p & D^m t, with m
bigger than n. With p sigma_1 they all provide a quantization, and
thus the physical reality is layered in some sense. There are no
"correct dream" within a dream, because physical correctness appears
when "you" are distributed all (infinitely many) most probable
relative history. This might be related to what you say here. It plays
some role in the "after life", making it a bit closer to to the
Tibetan Bardo Todol. A poet said that there are only two certainties:
taxes and death, but that was still wishful thinking: there is only
one certainty: taxes.
Bruno
PS B^n p is BBBB...Bp, with n Bs. (B^0 p = p, by convention).
David
Bruno
Brent
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