Infinity

[Farid7]

Infinity is interesting. One of the most interesting things about infinity is that it is not a number. It is obviously not zero, not one, not two, not three, not four, so on and so on.

 

[Shemjaza]

Infinity is interesting. One of the most interesting things about infinity is that it is not a number. It is obviously not zero, not one, not two, not three, not four, so on and so on.

You can't count to it, but you can count toward it.

 

[Farid7]

You can't count to it, but you can count toward it.

Yup

 

[Akita Suggagaki]

It is an open ended concept not an entity.

 

[NxNW]

Some infinite numbers are bigger than other infinite numbers.

 

[Farid7]

Some infinite numbers are bigger than other infinite numbers.

I've heard about it. Sounds interesting.

 

[NxNW]

I've heard about it. Sounds interesting.

For example, the set of Real numbers is bigger than the set of integers.

 

[Farid7]

For example, the set of Real numbers is bigger than the set of integers.

Interesting, would that mean it's also possible for same numbers to be different, as well? Such as two different 1s.

 

[NxNW]

Interesting, would that mean it's also possible for same numbers to be different, as well? Such as two different 1s.

Not that I'm aware of. The set of Reals relates to your 'next number' thread, because it's a continuum. Pick any two numbers, no matter how close together, and there are plenty of other Real numbers between them! The Reals include rationals, irrationals, transcendentals. The integers are spaced evenly, so even though they go on forever, they don't include the number 1/2, for example. So infinite does not mean exhaustive.