On Sat, Dec 8, 2018 at 4:13 PM Brent Meeker <[email protected]> wrote:

>
>
> On 12/8/2018 11:02 AM, Jason Resch wrote:
>
>
>
> On Sat, Dec 8, 2018 at 4:04 AM Philip Thrift <[email protected]>
> wrote:
>
>>
>> What is more primary than numbers?
>>
>> 1. Numbers come from counting.
>>
>
> Numbers come from relationships upon which objective statements can be
> made (with or without objects to count).
> For example, I can make and prove a statement about a number with a
> million digits.  Despite that there are not that many things (in my
> vicinity) to count.
>
>
> But only by abstracting from and generalizing some rules based counting
> and then postulating that they apply to arbitrarily large numbers of
> things.  For example, arithmetic assumes that you can add 1 to 10^1000 and
> get a different number.  But that is purely an assumption.  Counting could
> never confirm it.
>

So then we agree that numbers don't inherit their existence or properties
from from counting.

Jason

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