Re: An uncountable countable set

Tony Orlow wrote:
Your examples of the circle and rectangle are good. Neither has a height
outside of its x range. The height of the circle is 0 at x=-1 and x=1,
because the circle actually exists there. To ask about its height at x=9
is like asking how the air quality was on the 85th floor of the World
Trade Center yesterday. Similarly, it makes little sense to ask what
happens at noon. There is no vase at noon.

Do you really mean to say that there is no vase at noon or do you mean
to say that the vase is not empty at noon?

--
David Marcus
.

Relevant Pages

  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... It is empty at noon and is not empty at any time before noon, but I have no idea what TO means by "When does the vase become empty?", as it seems to imply a continuity at 0 that does not exist. ... Another is that noon is a cluster point of other discontinuities of that function. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... no idea what TO means by "When does the vase become empty?", ... to imply a continuity at 0 that does not exist. ... Only fictional discontinuities that reside in the Twilight Zone. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... But that's why I asked you a question about variables labelling ... Only finite times change anything, so if something changes, ... Nothing happened at noon to empty the vase, ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... there is no problem with having an empty vase at noon. ... expressing things in terms of time is natural and indicated. ... You can say, "What if we do this an infinite number of times?", or, "If ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... However, we can also say that when it exits, there are more balls in the vase than when it entered. ... When expressed as functions of time, rather than the number of operations, there is no problem with having an empty vase at noon. ... As the problem is stated in terms of the times at which events occur, expressing things in terms of time is natural and indicated. ...
    (sci.math)
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