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 :)
Even argument by contradiction deductively demonstrates an
inconsistency between the premisses.
Yes, and we accept them: proving A by proving that ~A -> f.
Here the intuitionist accept only that we have just prove ~ ~p.
Incredulity has nothing to do with it.
We take for granted that f is not credible, but this is equivalent
with our own consistency. We have to pray for this.
Of course it is cleaer in some part of math than in some part of
philosophy. here comp hels to add the nuances (notably by the
distinction of the many points of view).
Bruno
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