To: Craig D,
Quoting Craig D:
Quote:
Ah, but you’re a very fun tired,
cantankerous old fuddy duddy, and a valued member of hypography.
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Thanks.
Hypography is an incredible science forum,
and being a valued member means a lot to me.
If I collect the "Beal prize", then I will have enough money to
be a generous sponsor.
Quoting Craig D:
Quote:
Humility, in my experience,
is an easier character trait to claim than to attain.
It’s easy to express humility by acknowledging ones shortcomings.
It’s harder to express humility by recognizing that criticism of
a cherished idea is correct, and the idea is wrong.
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I agree.
Now, why so many in the math community continue to cherish the demonstrably wrong,
totally ineffectual present day method of representing and eliminating common factors
using terms that
idiotically allow trivial common factors to creep in is beyond me.
It doesn't match obsereved results, or even common sense and
clearly needs fixing!
A worldwide show of humility on this matter is definitely in order!
As for me, well, I already
proved my humility over ten years ago by
admitting
that the method for representing and eliminating common factors that I was taught
and had gotten so accustomed to using, was not only wrong,
but was so blatantly wrong as to constitute a joke!
I also had the courage to do something about it,
so I developed a stronger, more logical algebraic term that
doesn't allow trivial common factors to creep in.
I still feel that algebraic terms that don't allow trivial common factors,
and whose variables are so well defined that they can actually be
refered to by their domains, are probably the only hope we've got
to make the representation and elimination of common factors
meaningfull.
So let's explore this possible solution together.
If it turns out that my "Blazys terms" are
also inadequate for
representing and eliminating common factors, then I will be the first to admit it.
(Only a fool would stand by a result that is demonstrably wrong.)
However, if that turns out to be the case, then the problem of
meaningfully representing and eliminating common factors will
still be with us
and a worldwide show of humility on this matter will
still be in order!
Don.
