Re: An uncountable countable set

In article <9fd0$451b7e7b$82a1e228$8977@xxxxxxxxxxxxxxxx>,
Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx> wrote:

Virgil wrote:

In article <451a8f41@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:

For purposes of measure on the finite scale, infinitesimals can be
considered nilpotent. That's all. Do you disagree?

I disagree that scale changes can convert between zero and non-zero.

There are approximation methods is which products of small quantities
are regarded as negligible in comparison to the quantities themselves,
but they are always just approximations.

Crucial question: are those "approximation methods" part of mathematics?
I'll take Yes or No as a sufficient answer.

They are a part of the applications of mathematics to things other than
mathematics, so they are marginal.
.

Relevant Pages

  • Re: An uncountable countable set
    ... I disagree that scale changes can convert between zero and non-zero. ... are those "approximation methods" part of mathematics? ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... Do you disagree? ... There are approximation methods is which products of small quantities ... They are a part of the applications of mathematics to things other than ...
    (sci.math)
  • Re: An uncountable countable set
    ... considered nilpotent. ... Do you disagree? ... There are approximation methods is which products of small quantities are regarded as negligible in comparison to the quantities themselves, but they are always just approximations. ... They are a part of the applications of mathematics to things other than mathematics, ...
    (sci.math)
  • Re: An uncountable countable set
    ... considered nilpotent. ... Do you disagree? ... There are approximation methods is which products of small quantities are regarded as negligible in comparison to the quantities themselves, but they are always just approximations. ... They are a part of the applications of mathematics to things other than mathematics, ...
    (sci.math)
  • Re: abundance of irrationals!)
    ... >> If TO can't hack math, nobody is forcing him into it. ... > upon close strutiny are inherently inconsistent, ... As to the reality of mathematics, I take a moderately Platonic view. ... I do not disagree. ...
    (sci.math)