Re: -- Wrong limits do not commute

In article <c2df7$48e31ccf$82a1e228$15570@xxxxxxxxxxxxxxxx>,
Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx> wrote:

William Hughes wrote:

On Sep 30, 10:37 am, Han de Bruijn <Han.deBru...@xxxxxxxxxxxxxx>
wrote:

Keep dreaming about the x that has disappeared suddenly, mysteriously.

No dream, after you take the limit the x is no longer there.

Tip, hint: have completed infinities even infected limits ? I hope not.

Tip, hint: The process of taking a limit does not involve
"completed infinities" (whatever they are).

You're wrong. And evidence proving this shall be published very soon.

Please hang on.

Han de Bruijn

In Robinson's non-standard analysis, or equivalent, one properly may
base limiting processes on completed infinities infinites and
infinitesimals, but not in any form of standard analysis.

And the only "wrong" limits, either simple, multiple or iterated are the
ones which according to the standard mathematical definitions do not
exist.

What may seem wrong about mathematics to a physicist is mathematically
irrelevant, unless he/she can express that wrongness in mathematically
valid terms.
.

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