mike3 wrote:
On Nov 23, 9:56 am, "Tom Donaly" wrote:
snip
As forAleph-null, that's a
mathematico-logical fantasy that was brought into existence
by giving a name to a made-up abstraction, and then using
a set of artificial, logical manipulations on the name as proof of
its existence. It's a stunt Western philosophers have been using
for centuries to confuse the gullible. I'm surprised
an intelligent man of science, like you, fell for it, Cecil.

Guess what? EVERY SINGLE LAST BIT of mathematics
is "made up abstraction". All mathematics, *all of it, is an
abstraction! You have a problem with abstraction?
Then what do you suggest be used in it's place?
You claim that "Western philosophers" have made it
up just to "confuse the gullible". So then what
alternative philosophy do you suggest should be
use that does _not_ confuse the gullible? If you cannot
provide it and prove that it indeed has more merit than
the already-existent philosophies then why bother
with it?

So, an attack on one part of mathematical theory is an attack
on all mathematics? I like your vigorous defense of mathematics,
but I think you missed the point.
73,
Tom Donaly, KA6RUH

Tom Donaly wrote:
So, an attack on one part of mathematical theory is an attack
on all mathematics? I like your vigorous defense of mathematics,
but I think you missed the point.

In rejecting the concept of the total number of natural numbers,
you have rejected most of all mathematics. Cave men probably
used stones to count the days as they passed. In rejecting
the concept of the ultimate number of days possible, you
reject the concept of a single day, i.e. you reject reality
and therefore condemn the human race to pre-caveman days.
--
73, Cecil http://www.w5dxp.com

Cecil Moore wrote:
Tom Donaly wrote:
So, an attack on one part of mathematical theory is an attack
on all mathematics? I like your vigorous defense of mathematics,
but I think you missed the point.

In rejecting the concept of the total number of natural numbers,
you have rejected most of all mathematics...

How would you know?
73,
KA6RUH

Tom Donaly wrote:
Cecil Moore wrote:
In rejecting the concept of the total number of natural numbers,
you have rejected most of all mathematics...

How would you know?

I have a major in mathematics which included a
"Foundations of Mathematics" graduate course.
I had my choice of a degree in EE or Math.
--
73, Cecil http://www.w5dxp.com