On 11 September 2017 at 15:56, Bruno Marchal <marc...@ulb.ac.be> wrote:

>
> On 11 Sep 2017, at 11:23, David Nyman wrote:
>
> On 11 Sep 2017 9:22 a.m., "Bruno Marchal" <marc...@ulb.ac.be> 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.
>

​Yes, that's what I meant.
​ We can't know what lies 'beyond' our perceptions, but we can take a risk
on our conjectures, refined by a process of evolution.​
​

> ​
> 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.
>

​I think it might be. The idea is that the probabilities converge on what
we might then call a canonical (shared) reality.
​

> 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
> ​:​
>

​I know, and
 I can't honestly say this
​has ​
give
​n​
me much comfort
​.​




> there is only one certainty: taxes.
>

​Or this :(​

David


> Bruno
>
> PS B^n p is BBBB...Bp, with n Bs. (B^0 p = p, by convention).
>
>
> David
>
>
> Bruno
>
>
>
>
>> Brent
>>
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>
> http://iridia.ulb.ac.be/~marchal/
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