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Topic: Problems with Infinity?
Replies: 14   Last Post: Feb 27, 2013 4:22 PM

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Brian M. Scott

Posts: 1,289
Registered: 12/6/04
Re: Problems with Infinity?
Posted: Feb 26, 2013 1:54 PM
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On Mon, 25 Feb 2013 22:46:40 -0800 (PST), netzweltler
<> wrote in
in rec.arts.sf.written,sci.math:

> On 25 Feb., 17:58, "Brian M. Scott" <> wrote:

>> On Mon, 25 Feb 2013 08:48:05 -0800 (PST), netzweltler
>> <> wrote in
>> <>
>> in rec.arts.sf.written,sci.math:

>> [...]

>>> If there is a horizontal infinite line, how do we assign
>>> the origin?

>> Arbitrarily.

>>> How do we prove, that the distance in meter from the
>>> origin I have chosen to the origin someone else (along
>>> this line) has chosen can be counted?

>> By proving that Lebesgue measure is is the unique complete,
>> translation-invariant measure on the sigma-algebra generated
>> by the intervals.  Thus, one the two of you choose a unit,
>> the length of the interval between your origins is
>> completely determined.

> When we assign the origin of the horizontal infinite line,
> and we are coming from the left, we can count all the
> meters to the right of the origin. Can we possibly have
> counted all the meters to the left of the origin as soon
> as we arrive there?

What's this nonsense about 'coming' and 'arriving'?

Schon gut! Noch ein Ignorant.

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