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Topic: Infinity: The Story So Far
Replies: 298   Last Post: Apr 7, 2014 7:30 AM

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 Dan Christensen Posts: 6,760 Registered: 7/9/08
Re: Infinity: The Story So Far
Posted: Mar 2, 2014 2:11 AM

On Sunday, March 2, 2014 1:41:44 AM UTC-5, John Gabriel wrote:
> On Sunday, 2 March 2014 07:06:44 UTC+2, Dan Christensen wrote:
>

> > You don't know much about proofs, do you, John Gabriel?
>
>
>
> Infinitely more than you do.
>
>
>

> > Which of your "axiom(s) of arithmetic" did you apply to derive the following statement?
>
>
>

> > 1. A magnitude is the idea of size of extent. We can either tell that two magnitudes are equal or not. If we can tell they are not equal, then we know which is smaller or bigger, but we can't tell how much bigger or smaller. This is called qualitative measurement (without numbers).
>
>
>
> The axiom is self-explanatory.

Just answer the question, John Gabriel. You listed several "axioms of arithmetic" here. Which ones in particular did you use to derive the above statement? Did you use your 1st axiom 1? Your 2nd axiom? Which one(s) did you use? This is not a "trick question".

Dan
Visit my new math blog at http://www.dcproof.wordpress.com

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