Bruno Marchal wrote:
> Le 26-oct.-06, à 23:35, 1Z a écrit :
>
>
> > Mathematical logic can't conjure up existential conclusions
> > without making existential assumptions.
>
>
>
> If Aristotle was right on the question of the existence of some
> physical or natural *primary* matter, then indeed mathematical logic
> wouldn't conjure up its existence.
>
> Actually, as I have just said, mathematical logic cannot even conjure
> up the existence of numbers.
>
> That is why I explicitly assume the existence of numbers,

You assume the mathematical existence, and you
assume mathematical existence is real, ontological
existence (and no, I don't mean physical existence
by that). The first assumption is mathematically legitimate,
the second is philosophical and just as open to doubt as
computionalism.

> through RA or
> PA axioms when I interview the machine, or by accepting the independent
> truth of arithmetical statements, like in UDA.
> 
> Bruno
> 
> 
> http://iridia.ulb.ac.be/~marchal/


--~--~---------~--~----~------------~-------~--~----~
You received this message because you are subscribed to the Google Groups 
"Everything List" group.
To post to this group, send email to everything-list@googlegroups.com
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/everything-list
-~----------~----~----~----~------~----~------~--~---

Reply via email to