Re: Another Inconvenient Truth

In article <111b1$46ca9e1a$82a1e228$25233@xxxxxxxxxxxxxxxx>,
Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx> wrote:

William Hughes wrote:


You have been consistent and vocal in saying that
the correct answer cannot be zero because the limiting value
of the number of balls in the vase is unbounded.

Yes. That's what I have said, more or less. Now what?

Now you must prove that that "limit" is relevant to the number of balls
at noon.

I.e., that there is some sort of "continuity" at noon implied by the
description of the gedankenexperiment.

Considering the discontinuities before noon, that is hardly justifiable.
.

Relevant Pages

  • Re: Another Inconvenient Truth
    ... the correct answer cannot be zero because the limiting value ... of the number of balls in the vase is unbounded. ...
    (sci.math)
  • Re: Another Inconvenient Truth
    ... the correct answer cannot be zero because the limiting value ... of the number of balls in the vase is unbounded. ...
    (sci.math)
  • Re: Another Inconvenient Truth
    ... of the number of balls in the vase is unbounded. ... but also that the answer zero cannot be correct. ... is to reject almost all mathematics. ...
    (sci.math)
  • Re: infinity
    ... > infinity balls in his vase. ... has probability zero but is possible. ... where every possibility for the cardinality at noon has nonzero ... > where n is the number of balls left in the vase. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... zero and the limit as we approach zero is zero. ... As there are no other balls, ... is each ball which is inserted into the vase before noon also ...
    (sci.math)
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