Date: Sep 24, 2017 8:19 AM
Author: Peter Percival
Subject: Re: 0 = 1
Dan Christensen wrote:

> On Saturday, September 23, 2017 at 12:41:43 PM UTC-4, FredJeffries

> wrote:

>> On Saturday, September 23, 2017 at 9:10:59 AM UTC-7, Dan

>> Christensen laid down the law:

>>

>>> If you cannot formally define these concepts of yours purely in

>>> terms of the symbols of logic and set theory (or some

>>> equivalent), it isn't mathematics.

>>

>> That's ridiculous. You have just chauvinistically declared the

>> mathematics of thousands of years and hundreds of cultures to be

>> "n[o]t mathematics"; not to mention all of the experimental and

>> not-yet-formalized current research; not to mention all of the

>> checkbook balancing done by millions of people who never saw a

>> "symbol of logic" in their lives.

>

> Ordinary arithmetic (2+2=4, etc.) was formalized some time ago. So

> too has algebra, calculus, differential equations, etc. As for

Where have differential equations (a hell of a big subject!) been

formalized...

> "experimental" research, it will always be just a preliminary work

> until it can be axiomatized.

... in the sense of axiomatized? Indeed, what would it mean "to

formalize" differential equations? That an equation and some axioms are

put into a box, shaken well, and out pop the solutions?

> I really have to admire those have staked their careers on such

> speculative ventures, hacking their way through tractless

> mathematical jungles, but failure is real possibility. But I guess it

> wouldn't be very exciting otherwise!

>

>

> Dan

>

> Download my DC Proof 2.0 software at http://www.dcproof.com Visit my

> Math Blog at http://www.dcproof.wordpress.com

>

--

Do, as a concession to my poor wits, Lord Darlington, just explain

to me what you really mean.

I think I had better not, Duchess. Nowadays to be intelligible is

to be found out. -- Oscar Wilde, Lady Windermere's Fan