Infinity

[Gibsense]

Is infinity unreal? We talk about infinite space or an infinite number of real numbers between 0 and 1 a sort of endless division by 2 or whatever. But I wonder how real Infinite actually is.

• Take an infinite line and join the ends. Is it a finite circle? Or is it an infinitely expanding circle?
• How about the real numbers between 0 and 1. If you integrate from 0 to 1 you get 1. Is that like joining the ends?
• And, even if the universe is closed (as opposed to an infinite flat Euclidian one) can it expand infinitely?

It seems as if there is a resolution (like joining the ends) but more profound. As if there is something more fundamental than 'joining the ends'
I cannot crack it. Anyone?

 

[promytius]

An infinite line has no ends.
I don't know what is meant by "integrating" numbers from 0 to 1.
There is infinite room in an infinite universe for infinite expansion.

 

[Gibsense]

An infinite line has no ends.

Why/how/prove?/explain/show etc

I don't know what is meant by "integrating" numbers from 0 to 1.

I mean integration - the mathematical process - algebra-type stuff. Integration shows that if you add up all the infinite bits the total = 1. But then someone who knows better may correct me. It's a long time since I was agile with mathematics

There is infinite room in an infinite universe for infinite expansion.

No there isn't.

 

[Atlan0001]

Why/how/prove?/explain/show etc

I mean integration - the mathematical process - algebra-type stuff. Integration shows that if you add up all the infinite bits the total = 1. But then someone who knows better may correct me. It's a long time since I was agile with mathematics

No there isn't.

Yes there most certainly is. There are infinities of infinites (infinitesimals) (finites) to infinity, including universes, spaces, times, an 'Infinite MULTIVERSE Universe' (the face of the infinite density of an infinite '0' (the face of the infinite '0' of an infinite density)).

The above closed up to superposition Big Background (BC) (BB) Horizon "collapsed cosmological constant (/\) Planck (Big Crunch) (Big Bang) 'Mirror Event Horizon' of the infinity of horizon universes (universe horizons) equals a Planck [unsigned] '1'.

 

[promytius]

Regarding an infinite line; no matter what one would propose as an end of an infinite line, I would simply say, no matter what one labeled as an end, there was still more to go; so much more, that you could never approach the end... because it doesn't have one.
In our infinite universe there is an infinite number of infinite lines for which infinite sentient beings have tried to find an end. An infinite number of sentient beings found no end; while an infinite number of sentient beings found the end of an infinite line.

 

[Catastrophe]

Why/how/prove?/explain/show etc

I mean integration - the mathematical process - algebra-type stuff. Integration shows that if you add up all the infinite bits the total = 1. But then someone who knows better may correct me. It's a long time since I was agile with mathematics

No there isn't.

Introduction to Integration

Integration is a way of adding slices to find the whole. ... Integration can be used to find areas, volumes, central points and many useful things. But it is easiest to start ...

www.mathsisfun.com

Cat