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0 pointsneonskies2y ago0 comments

> 1 -> .1 2 -> .01 3 -> .001 4 -> .0001 5 -> .00001 6 -> .000001 . -> .0∞1

That would only count the rationals which you can definitely count off a carefully arranged matrix of rationals. But reals = rationals and irrationals and the irrationals are uncountable.

0 comments

smac__2y ago

You are definitely right, I missed quite a few numbers in this set. (Thank you!)

j / k navigate · click thread line to collapse

0 pointsneonskies2y ago0 comments

> 1 -> .1 2 -> .01 3 -> .001 4 -> .0001 5 -> .00001 6 -> .000001 . -> .0∞1

That would only count the rationals which you can definitely count off a carefully arranged matrix of rationals. But reals = rationals and irrationals and the irrationals are uncountable.

0 comments

smac__2y ago

You are definitely right, I missed quite a few numbers in this set. (Thank you!)

j / k navigate · click thread line to collapse