John Mikes wrote:
> Brent M,
> please spare me the arithmetic class.
> I scribbled an example which may be wrong. So noted and I am ashamed.
> I was referring to the concept of (our) /'axioms'/ - products of human
> thinking to make our edifice of the cognitive inventory we carry *-
> VALID*. I opened the possibility that a quite different view may exist
> with maybe different 'axioms' - without going into theorizing about such.
> And I won't.
> I still hold that EVERYTHING is not restricted to our human ways - not
> in logic, not in our so called possibilities, not in anything.
Sorry. I quite agree with you. I regard logic and mathematics as our
inventions - not restrictions on the world, but restrictions we place on how we
think and talk about the world. We can change them as in para-consistent logics.
Brent
> Best regards
> John Mikes
>
> On Sat, Aug 16, 2008 at 3:42 PM, Brent Meeker <meekerdb.domain.name.hidden
> <mailto:meekerdb.domain.name.hidden>> wrote:
>
>
> 1Z wrote:
> >
> >
> > On 15 Aug, 20:12, "John Mikes" <jami....domain.name.hidden
> <mailto:jami....domain.name.hidden>> wrote:
> >
> >> As for 1Z's axioms:
> >> In my vocabulary axioms are artifacts invented to make our theories
> >> workable. If 1 + 1 is NOT 2,
> >
> > How would that turn out the case?
> >
> >> you can say goodby to math.
>
> We define arithmetic so 1+1=2, but that's a particular model for
> dealing with
> distinguishable, discrete things. It doesn't apply to everything,
> e.g. (1
> member of the U.S. 400m relay team) + (1 member of the U.S. 100m
> sprint team) =
> (1 member of the U.S. Olympic team). And given quantum entanglement and
> indistinquishability of particles it may only apply *approximately*
> to things
> like apples and oranges. So if 1+1=/=2 it just means you tried to
> apply a model
> where it doesn't work.
>
> Brent Meeker
>
> >> Furthermore I dislike the use of the word 'infinite' - in TEXTS
> I rather
> >> use: 'unlimited'.
> > >
> >
>
>
>
>
>
> >
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Received on Sun Aug 17 2008 - 21:45:29 PDT