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Matheology § 170
Posted:
Dec 4, 2012 1:48 AM
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Matheology § 170
The infinite triangle formed by the sequence
0.1 0.11 0.111 ...
has height aleph_0 but width less than aleph_0 (because the limit 1/9, the first line with aleph_0 digits, does not belong to the triangle). This lack of symmetry is disturbing for a physicist.
But it would be completely unclear, what side of the infinite triangle is the first one to complete infinity aleph_0, when constructed in the following manner:
a
a bb
c ac bbc
d dc dac dbbc
d dc dac dbbc eeeee
...
Regards, WM
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