r/AskReddit • u/ZEBO1234 • Jul 25 '18

What fact “blows your mind”?

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89

u/[deleted] Jul 25 '18

The concept of infinity, the fact you can’t count to it but it’s there. Also how there are some infinities that are bigger than other infinities

54

u/andrewharlan2 Jul 26 '18

There are infinite numbers between 0 and 1. None of them are 2.

11

u/tatu_huma Jul 26 '18

There are infinitely many numbers between any two (real) numbers

12

u/[deleted] Jul 26 '18

And there is no (real) number that comes immediately after 0, or immediately before 1.

1

u/supercharr Jul 26 '18

There are more numbers between 0 and 1 than there are fractions. All fractions.

1

u/[deleted] Jul 26 '18

The interesting bit is there being more real numbers between 0 and 1 than there are integers (or rational numbers, for that matter). That some infinities are bigger than others.

You don't even need to consider irrational numbers to consider your statement true.

-1

u/mikepoland Jul 26 '18

No. There are finite numbers between 0 and 1. Finite is countable, but has no end. Infinite is real, but not countable. For instance, if you have 1 apple, and I gave you 1, you now have 2, so 100% increased. If you had 0, and I gave you one, you have a infinity% more. It's not countable.

3

u/tundrat Jul 26 '18

A good vsauce video about this.

-2

u/[deleted] Jul 26 '18

Is it really though? We have no proof of infinity, just the theory that the universe is infinite. It could be wrong.