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What. is. Infinity.

Srentiln

minr op since Nov 2011
Op
Oct 28, 2013
1,994
1,052
Realized it's not fair to call logic flawed without explaining.

In the first video, the definition of what infinity is is incomplete. It describes it as a size when in fact it is a concept. This is covered in the second video when they call an infinity a collection of every possibility.

Therefore, I argue that it is more accurate to call a numerical infinity the collection of every possible number given by the parameters of the descriptor (an infinity of all real numbers is not the same as an infinity of all even numbers), and to say that the size two infinities in which the size of the itterations is different are the same is false. Furthermore, by eliminating a point within an infinite set, you are actually defining a new infinite set in which that point is not a possible value.

One other thing that bugged me was the pabeling of the points of the circle. He claimed that no one point would be labeled twice, and then labeled the same point twice (RUL and U). The re-composition if one into two is entirely based upon this multi-labeling and ignores the void space that would be present if there truely was only one copy of every point. The rotation is just a smoke-and-mirrors tactic to avoid the fact that you have a different infinity than you started with.
 
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