Timeline for Are there more rational numbers than integers?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jul 31, 2010 at 20:46 | comment | added | user510 | that's why I specifically said "line segment". | |
| Jul 31, 2010 at 20:44 | comment | added | mau | size matters :-), but I was thinking of an infinite straight line. | |
| Jul 31, 2010 at 20:32 | comment | added | user510 | The straight line argument is significant. I cannot draw a 1 meter line segment by plotting a finite number of points, and the same for a 2 meter line segment. The cardinalities of the sets of points for these two lines I can (now, given other answers here) accept as equal. However, very few people would argue that the size of a 1 meter line segment is equal to the size of a 2 meter line segment. This isn't irrelevant since a co-ordinate system is simply a bijection of number-tuples to points in some space. There's more than one meaning of "size" IOW, but only one can answer my question. | |
| Jul 31, 2010 at 20:11 | history | answered | mau | CC BY-SA 2.5 |