Quote:
Originally Posted by Robh
Hi Steven,
A finite time interval, regardless of its size, does not preclude an infinity of subpoints within the interval.
This is not at odds with my point (unintentional pun). Time is a continuous variable and as such, between any two points in time there are an infinity of time locations. In fact, that many time points that it compares in size with the number of points in the real number line. Hence, the rest of the argument.
Regards, Rob
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Rob,
There is no cosmological or physical significance to expressing cosmological time as points in an interval. Cosmological time is the only point in the "interval". Every spatial point in the Universe is at the same cosmological time. Note this is not the same the time ordinate in special relativity.
Cosmological time is a carry over of Newton's idea of absolute time.
Cosmological time is analogous to the length of a ruler. A ruler can be a spatial interval that is described by a real number line interval which by definition forms an uncountable infinite set. This has no physical significance however as the length of the ruler is still finite.
Regards
Steven