Re: Are Polynomials really C ^Infinity (Smooth) Differentiable
- From: "Terry Padden" <TPadden@xxxxxxxxxxxxxx>
- Date: Sun, 01 Jan 2006 03:43:22 GMT
"Lee Rudolph" <lrudolph@xxxxxxxxx> wrote in message
news:dp4lce$nvi$1@xxxxxxxxxxxxxxxxxxx
>
> Every single textbook of calculus on this planet.
>
I am stuck on the first one by a yokel from rural Lincolnshire called Isaac
something - yes in those days they really did call people Isaac, until they
were exported westwards as illegal immigrants.
If you have ever encountered truly rural Lincolnians you can imagine it is
not the kind of book you would want to be seen with. My local Bishop
(Berkeley) tells me it is rubbish - and your reponse indicates just how
widespread mathematical
rubbish is. That is why I try very hard to keep my distance from
mathematicians; you never know what kind of intellectual disease you may
catch.
Differentials are "at" a point within a continuum - an infinity of infinite
points.
To "differentiate" is to distinguish between - the point and its next-door
neighbours ! Believing as you do that the differential of the constant
function zero is the constant function zero is logically equivalent to
saying "Yes there is a difference between (the continuum of infinities of)
the zeroes within a zero function but it is zero - i.e. there is no
difference".
About 25 years ago locally some smart marketer (OK, it's an oxymoron)
introduced an alcohol-free top-shelf whisky brand "Claytons" as "The drink
you have when you're not having a drink". Around here we now have
"Claytons" for every imaginable concept.
You are confirming for me that differentials of zero are "Claytons
Differentials - the differentials you have when their is no difference !"
Of course, using the Claytons Logic enforced by your text-book commissars,
you can then believe that a difference which is no difference persists
forever - and Hey Ho you have C^Infinity polynomials.
Polynomials are remnants of absolutism in mathematics. Unfortunately
absolutism encompasses most of standard mathematics.
Why does one always have to drag mathematicians kicking and screaming to the
well of common-sense ?
Do not bother to suggest that yours truly is a Claytons Mathematician; if
only - I had not been forced to study all those silly calculus books.
.
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