On Sat, Dec 8, 2018 at 2:06 PM Philip Thrift <cloudver...@gmail.com> wrote:

>
>
> On Saturday, December 8, 2018 at 1:02:25 PM UTC-6, Jason wrote:
>>
>>
>>
>> On Sat, Dec 8, 2018 at 4:04 AM Philip Thrift <cloud...@gmail.com> 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 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
>>
>
>
>
> But what are *relations*? Are *relations*, or *functions*, then
> primitive?
>
>
I think truth is primitive.



> cf. *Relations Versus Functions at the Foundations of Logic:
> Type-Theoretic Considerations*
>      https://mally.stanford.edu/Papers/rtt.pdf
>
> What language are *equations* written in?
>
>
Things only need to be written for purposes of communication. Writing a
description has no bearing on the ontological status of the thing described.

Jason

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