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Topic: 2.45 - What some PhDs said about differentials.
Replies: 44   Last Post: Aug 11, 2014 2:07 PM

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 Dan Christensen Posts: 8,219 Registered: 7/9/08
Re: 2.45 - What some PhDs said about differentials.
Posted: Aug 3, 2014 10:36 PM

On Sunday, August 3, 2014 2:48:29 PM UTC-4, John Gabriel wrote:

>
> Infinitesimals don't exist.
>
> Sums of infinitely many rectangular areas don't exist either.
>

John Gabriel is fraud. His Wacky New Calculus is broken beyond repair. In his system:

1. He is unable to prove something as simple as  2+2 = 4.

2. There are no irrational numbers, so the distance between (0, 0) and (1, 1), for example, is undefined.

3. His definition of the derivative of a function just doesn't work. If, for example, f(x)=x^3, then f'(0), which should be 0, is also undefined.

4. To make it work it all, he has also had to redefine the basic rules of logic!

Dan