Re: Believing ...

From: Bruno Marchal <>
Date: Fri, 23 Mar 2007 12:36:33 +0100

Le 21-mars-07, à 22:18, John Mikes a écrit :

> Academic - tenure - even Nobel type conventional science is
> rfeductionistic
> in this sense.. I agree: "SCIENCE" should be as you identified it.

Thanks for telling. I thought, a bit naively perhaps, that after
Descartes and Popper, say, it was part of common knowledge that
science, properly understood, is an arrow from doubts to ... more and
more doubts, and cannot, thus, be reductionist.

You know, people like Leibniz and even the young Hilbert thought that a
machine could exist capable of answering, at least in principle, all
question about numbers, actually all question about machine as well,
including herself. Now we know that we can interview machine as
powerful as we want, as far as they remain self-referentially correct,
they remain extraordinarily modest. If you ask to such a machine if she
will ever say a bullshit, well, the young one crash immediately
(transforming herself into a universal dovetailer btw), the older one
answer that either they will say a bullshit, or that they ... might
say a bullshit(*).


(*) For the modalist: "I will prove a falsity or it is consistent that
I will prove a falsity"

Bf v DBf (same as Dt -> ~BDt).

With the older modal notation:

[]f v <>[]f (same as <>t -> ~[]<>t )

B = [] = Godel purely arithmetical provability predicate (Beweisbar)
D = <> = ~B~= ~[]~
Recall that, as Aristotle already got, ~B = D~ and ~D = B~ (in the
alethic mode: not necessary p = possible not p ; not possible p =
necessary not p. See my older modal posts.

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Received on Fri Mar 23 2007 - 07:36:46 PDT

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