On 12/8/2018 11:02 AM, Jason Resch wrote:
On Sat, Dec 8, 2018 at 4:04 AM Philip Thrift <[email protected]
<mailto:[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.
Brent
But one counts things (things that are not numbers themselves, in
the primitive case). So the things one counts + the one that
counts must be more primary than numbers.
2. Numbers come from lambda calculus (LC). But LC - a programming
language - needs a machine LCM to interpret LC programs. So LC +
LCM is more primary than numbers.
You can build computers and programs out of equations concerning the
arithmetical relationships that exist between numbers. See my post
"Do we live in a Diophantine equation":
https://groups.google.com/forum/#!msg/everything-list/KTopDTsOW10/TqYgylAiBgAJ
Jason
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