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True or not (Posted on 2018-09-25) Difficulty: 3 of 5
i. Almost every positive integer is composite.
ii. Almost every prime has more than 1000 digits.

Are the above statements true?

Please comment.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(4): mostly a discussion Comment 6 of 6 |
(In reply to re(3): mostly a discussion by Daniel)

Here's where I have trouble: If the timers go off 0 to 10 minutes _exclusive_, that is (0< t < 10) and not (0 <= t <= 10) then is there or is there not a last timer to go off? And how could there not be a last one? I think Zeno wrote on this... 


Also, as Charlie aptly pointed out, the loss of simultaneity due to SR confounds the problem further: sufficiently near clocks running out could have their run-out events as space-like events rather then time-like events. In this case no one could say which clock ran out first. The confused observer would be in a moving frame, but then again, in an expanding Universe, we all are. 

Edited on September 27, 2018, 1:51 am
  Posted by Steven Lord on 2018-09-27 01:21:58

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