On 11 May 2015, at 03:31, Russell Standish wrote:
On Sun, May 10, 2015 at 05:01:59PM +0200, Bruno Marchal wrote:
On 09 May 2015, at 02:56, Russell Standish wrote:
On Fri, May 08, 2015 at 08:47:22AM +0200, Bruno Marchal wrote:
All argument in math are from incredulity.
Not at all. They should be precise deductions from a given set of
premisses, using agreed rules of logic.
I was alluding to the fact that for proving negation of A, we prove
A -> f, and we take for granted that f is incredible (except before
breakfast perhaps :)
In a technical sense, perhaps, but we can simply say "proof by
contradiction" is identical with the proof of f, and is a perfectly
acceptable mathematical technique. Even axiomatic in the rules of
logic, I
would say.
On the other hand, proof by incredulity is no proof. For example it is
pretty incredible for a teapot to be orbiting Jupiter. But does that
prove no such teapot exists? That is the sort of proof by
incredulity we're
talking about, and the sort of proof the MGA is.
Yes. MGA makes, for the computationalist (who has meditate on the
bible Davis 64, with the paper by Gödel, Church, Post, Kleene, Turing)
the aristotelian notion of primary matter into a tea pot notion.
Unnecessary, as it cannot even be used as a selection principle. Just
adding complexity to the mind body problem.
Consciousness has always been the weak point of Materialism, and with
comp, we understand why, as matter can only be the FPI on ... a
competition among all universal numbers.
Or, with Dennett, you can eliminate consciousness and conscience, but
then why not life? Sade has well explained what happens in practice
when you keep materialism and mechanism. Elimination of consciousness
leads to elimination of persons. (But this, to be sure, has not (yet)
been translated in arithmetic, it is more a personal feeling than a
statement of the Löbian combinators.
Bruno
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Principal, High Performance Coders
Visiting Professor of Mathematics [email protected]
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