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*Time:* 2012-09-07, 10:01:22
*Subject:* Re: Where do numbers and geometry come from ?
On 9/7/2012 7:21 AM, Roger Clough wrote:
Hi Stephen P. King
I believe that what is necessarily true (rationally true)
had to be always tr
have to invent him
so that everything could function."
- Receiving the following content -
From: Stephen P. King
Receiver: everything-list
Time: 2012-09-07, 10:01:22
Subject: Re: Where do numbers and geometry come from ?
On 9/7/2012 7:21 AM, Roger Clough wrote:
Hi Stephen P. Ki
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*Time:* 2012-09-06, 11:35:56
*Subject:* Re: Where do numbers and geometry come from ?
Dear Roger,
Why is it that people persist in even suggesting that
numbers are "created by man"? Why the anthropocentric
content -
From: Bruno Marchal
Receiver: everything-list
Time: 2012-09-07, 03:21:21
Subject: Re: Where do numbers and geometry come from ?
On 06 Sep 2012, at 16:28, Brian Tenneson wrote:
All numbers can be defined in terms of sets. The question becomes this:
do sets have ontological primacy
ng content -
From: Brian Tenneson
Receiver: everything-list
Time: 2012-09-06, 10:28:51
Subject: Re: Where do numbers and geometry come from ?
All numbers can be defined in terms of sets. The question becomes this:
do sets have ontological primacy relative to mankind or are sets invented or
On 06 Sep 2012, at 16:28, Brian Tenneson wrote:
All numbers can be defined in terms of sets. The question becomes
this:
do sets have ontological primacy relative to mankind or are sets
invented or created by mankind?
I would say "invented", as many different notion of sets can exist.
You
; Leibniz would say, "If there's no God, we'd have to invent him
> so that everything could function."
>
> - Receiving the following content -----
> *From:* Brian Tenneson
> *Receiver:* everything-list
> *Time:* 2012-09-06, 10:28:51
> *Subject
-
*From:* Brian Tenneson <mailto:tenn...@gmail.com>
*Receiver:* everything-list <mailto:everything-list@googlegroups.com>
*Time:* 2012-09-06, 10:28:51
*Subject:* Re: Where do numbers and geometry come from ?
All numbers can be defined in terms of sets.� The quest
that everything could function."
>
> - Receiving the following content -
> *From:* Brian Tenneson
> *Receiver:* everything-list
> *Time:* 2012-09-06, 10:28:51
> *Subject:* Re: Where do numbers and geometry come from ?
>
> All numbers can be defined in terms
On 9/6/2012 11:09 AM, Brian Tenneson wrote:
Correct me if I'm wrong but my understanding is that sets and
membership cannot be defined in terms of a more primary mathematical
concept. Functions can be defined in terms of this primitive called
sets. Numbers are sets; natural numbers are define
Receiver: everything-list
Time: 2012-09-06, 11:09:25
Subject: Re: Where do numbers and geometry come from ?
Correct me if I'm wrong but my understanding is that sets and membership cannot
be defined in terms of a more primary mathematical concept.? Functions can be
defined in terms
ough, rclo...@verizon.net
9/6/2012
Leibniz would say, "If there's no God, we'd have to invent him
so that everything could function."
- Receiving the following content -
From: Brian Tenneson
Receiver: everything-list
Time: 2012-09-06, 10:28:51
Subject: Re: Where do numbers
Correct me if I'm wrong but my understanding is that sets and membership
cannot be defined in terms of a more primary mathematical concept.
Functions can be defined in terms of this primitive called sets. Numbers
are sets; natural numbers are defined directly in terms of sets (via the
Von Neumann
Dear Brian,
"can be defined ..." implies the necessary existence of something
or process or whatever that does the act of defining the set. Truth
values do not do this, btw. Sets are collections defined in terms of
functions, but numbers in-themselves are not those functions.. Unless
you
All numbers can be defined in terms of sets. The question becomes this:
do sets have ontological primacy relative to mankind or are sets invented
or created by mankind?
On Thu, Sep 6, 2012 at 5:11 AM, Roger Clough wrote:
> Hi Stephen P. King
>
>
> Yes, of course, but I wanted a more obvious, d
Hi Stephen P. King
Yes, of course, but I wanted a more obvious, dramatic example.
The philosophy of mathematics says something like the numbers
belong to a static or eternal world, change itself is a property of geometry.
Numbers and geometry thus belong to the platonic world,
which is forbidd
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