On 1/18/2015 10:05 PM, Jason Resch wrote:
On Sun, Jan 18, 2015 at 3:48 PM, meekerdb <[email protected]
<mailto:[email protected]>> wrote:
On 1/18/2015 9:16 AM, Jason Resch wrote:
If you assume it is true (independent of our ability or anything in the
universe's
ability to conceive it), then it is true independently of the universe, and
hence
you get arithmetical realism.
No, you just keep assuming that true=real. The truths of arithmetic are
about the
relation of numbers. And they are true whether or not the numbers exist,
just as
Dr. Watson is Holmes sidekick.
If it is true that 8 is a composite, doesn't that require the existence of a number
between 1 and 8 which divides 8?
Only in the mathematicians sense of "exist" which means "satisfies an expression", Dr
Watson satisfies the expression "X is a sidekick of Holmes."
Brent
In any case, while I agree there is always room to doubt the existence of the numbers
and their relations, it is the most plausible explanation for existence that I have
encountered.
Jason
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