Why Is Australia Not Considered An Island ??

Why Is Australia Not Considered An Island ?? Dec 23, 2019 2:30:37 GMT

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Post by Hairynosedwombat on Dec 23, 2019 2:30:37 GMT

Dec 23, 2019 1:57:05 GMT MCDemuth said:

...And... A square is a rectangle, but most rectangles are not squares.

George Cantor might disagree with you here. You imply that there are more rectangles than squares.

We can map (or make a one-to-one correspondence) between each member of the set of all rectangles and the set of all natural numbers (ie 1, 2, 3...).

We can make the same mapping of all squares with the natural numbers.

Therefore I would suggest (and I believe Cantor proved) that the set of all rectangles and the set of all squares are the same size.