Jesse Mazer skrev:
> > Date: Sat, 6 Jun 2009 21:17:03 +0200
> > From:
> > To:
> > Subject: Re: The seven step-Mathematical preliminaries
> >
> > My philosophical argument is about the mening of the word "all". To be
> > able to use that word, you must associate it with a value set.
> What's a "value set"? And why do you say we "must" associate it in 
> this way? Do you have a philosophical argument for this "must", or is 
> it just an edict that reflects your personal aesthetic preferences?
> > Mostly that set is "all objects in the universe", and if you stay 
> inside the
> > universe, there is no problems.
> *I* certainly don't define numbers in terms of any specific mapping 
> between numbers and objects in the universe, it seems like a rather 
> strange notion--shall we have arguments over whether the number 113485 
> should be associated with this specific shoelace or this specific 
> kangaroo?

When I talk about "universe" here, I do not mean our physical universe.  
What I mean is something that can be called "everything".  It includes 
all objects in our physical universe, as well as all symbols and all 
words and all numbers and all sets and all other universes.  It includes 
everything you can use the word "all" about.

For you to be able to use the word "all", you must define the "domain" 
of that word.  If you do not define the domain, then it will be 
impossible for me and all other humans to understand what you are 
talking about.

Torgny Tholerus

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