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RE: Are there more points on a line or in a square? - Intresting bits of mathematics - week -2
I did mathematics at Cambridge until O levels. Then I went into Medicine. So now you clearly understand that I don't understand you. Your question confuses me. There are infinite points on any structure depending on what you call a point. The same concept as measuring a coastline. Am I wrong? Or just perfectly right ?
Yeah, the idea of number of points it's a bit badly defined - what I really mean is the size of the set, so since there is a one to one mapping from each point on a line to a point in a square the size of both sets is the same, but the interesting thing is that the line is contained in the square
This may be your last warning.
Get out of Mathematics. !
Honestly I am jealous. I have achieved much in life more than I expected, but math is language of the Gods. The is not much to this universe but beautiful math. From Pi to Golden ratio and everything in between.
Good luck with all your endeavors.