Re: An uncountable countable set

David Marcus wrote:
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?


If noon exists at all, the vase is not empty. All finite naturals will have been removed, but an infinite number of infinitely-numbered balls will remain.
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Relevant Pages

  • Re: An uncountable countable set
    ... The height of the circle is 0 at x=-1 and x=1, because the circle actually exists there. ... 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? ... the vase is not empty. ... All finite naturals will have been removed, but an infinite number of infinitely-numbered balls will remain. ...
    (sci.math)
  • Re: An uncountable countable set
    ... is like asking how the air quality was on the 85th floor of the World ... Do you really mean to say that there is no vase at noon or do you mean ... the vase is not empty. ... but an infinite number of infinitely-numbered balls ...
    (sci.math)
  • Re: An uncountable countable set
    ... is like asking how the air quality was on the 85th floor of the World ... Do you really mean to say that there is no vase at noon or do you mean ... the vase is not empty. ... but an infinite number of infinitely-numbered balls ...
    (sci.math)
  • Re: An uncountable countable set
    ... makes the vase empty? ... an empty vase by simply adding balls. ... So if you just keep on adding balls one at a time, ... The fact that other people may have considered a number circle does not change the fact that the number circle implies that if you keep on adding balls, eventually you will have zero balls. ...
    (sci.math)
  • Re: An uncountable countable set
    ... is like asking how the air quality was on the 85th floor of the World ... Do you really mean to say that there is no vase at noon or do you mean ... the vase is not empty. ... but an infinite number of infinitely-numbered balls ...
    (sci.math)
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