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The concept of Infinity.... no beginning nor no end

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Lyrics from Built To Spill's "Randy Described Eternity"

every thousand years
this metal sphere
ten times the size of Jupiter
floats just a few yards past the earth
you climb on your roof
and take a swipe at it
with a single feather
hit it once every thousand years
`til you've worn it down
to the size of a pea
yeah I'd say that's a long time
but it's only half a blink
in the place you're gonna be

where you gonna be
where will you spend eternity
I'm gonna be perfect from now on
I'm gonna be perfect starting now
stop making that sound
stop making that sound
I will say I forgot
but it was only yesterday
and it's all you had to say
 
How does a finite mind grasp the infinite?

That is akin to the understanding of nothing - what is nothing? "that which rocks dream about" - aristotle. Can we really imagine or grasp nothing. Even if we point our fingers to a blank space in the air and indicate that herein lies nothing, there are billions of quarks making millions of atoms and thousands of molecules to from dozens of different gases, even in trace form, floating in that "empty" space.

No Thing.

Negations are difficult overall, yet they form the basis of our understanding for all science. Heat is heat. Cold is the absence of heat - the negative of heat. We think something is cold when in reality it just has no heat energy.

Now infinity is the absence of constraints when it comes to our most confusing dimension - time. Non-finitude. It is impossible to comprehend.

 
Everything has heat energy. Something we perceive as cold just doesn't have as much of it as something we perceive as hot. Even in the deep reaches of "empty" space, the temps do not reach absolute zero. At absolute zero, molecules break down, atoms lose their structure and converge... strange things happen.

and... infinity is very possible to comprehend.
 
Originally posted by: LeiZaK
Everything has heat energy. Something we perceive as cold just doesn't have as much of it as something we perceive as hot. Even in the deep reaches of "empty" space, the temps do not reach absolute zero. At absolute zero, molecules break down, atoms lose their structure and converge... strange things happen.

and... infinity is very possible to comprehend.

It's possible to understand the concept, but I'd argue that it's impossible for the human mind to truly comprehend.
 
the only reason you think there has to be a beginning is because of what youve been led to believe. Infinity is a concpet outside of our realm of thinking...so anything is possible.
 
Originally posted by: BoberFett
It's possible to understand the concept, but I'd argue that it's impossible for the human mind to truly comprehend.

That is a severe limitation, not only on your own mind, but on your perception of the human race as a whole. Infinity is quite a simple thing to grasp and fully comprehend. Maybe you have just forgotten how.

There's not much to comprehend about it, really. Most of us probably had a better grasp on the concept before we were even able to talk.
 
Originally posted by: chuckywang
Originally posted by: Anubis
you should like this

If you take the graph of 1/x and revolve it around the x axis, the solid that it makes with a base at any X>1 and the tip extending into infinity has a finite volume and an infinite surface area. You could fill it with water but never paint it

Very good. It's called Gabriel's horn.

Other cool things:

Mobius Strip: a surface with only one side

Klein Bottle: a solid with no inside or outside

the fake paradox of gabriel's horn holds with imaginary paint with no molecules... if a gabriel horn was built, and try to fill with paint that has molecules... getting the paint to enter the tip would be like putting a pingpong ball inside an ice cream cone or funnel... the parts remaining still isn't "filled" or "painted", and theres an infinite distance beyond, so the actual amount filled by paint is virtually exactly nothing at all.
 
Originally posted by: CrackRabbit
Originally posted by: chuckywang
Imagine a ball of gold the size of the moon. Now imagine that once every thousand years, a dove flys by that ball of gold and oh-so-lightly brushes it with it's wings. When that ball of gold is ground into fine dust, it will only be the beginning of eternity.


I want some of the shrooms you have. 😉

share!

BTW can a system understand its responces?? i respectfully disagree with your comment jumper..i believe in globe universes linked together by strings if you will...the space in between is dark matter....which we have no idea what it is.....man we are so far behind 🙁
 
oo oo, i got one.

imagine a sparrow taking a beakful of water from a body of water the size of the pacific ocean. then that sparrow walking, not flying, 2000 miles to empty the beakful of water into a body of water the size of the atlantic ocean. the sparrow then walks back to the original body and repeats until it has emptied one ocean into the other.


All said and done, this has nothing whatsoever to do with infinity.
 
Originally posted by: Anubis
you should like this

If you take the graph of 1/x and revolve it around the x axis, the solid that it makes with a base at any X>1 and the tip extending into infinity has a finite volume and an infinite surface area. You could fill it with water but never paint it

I actually like describing it as, you can paint the inside of the infinitely thin surface, but you can't paint the outside of it.
 
Originally posted by: Kyteland
Originally posted by: The Pentium Guy
I realize this should be in Highly Technical but I think you ATOTers can handle this...
Doesn't it seriously befuddle you to think about infinity, especailly in the respect of time?

I mean, seriously.....no end sounds incredibly scary. No beginning is even weirder.... I mean, there HAS to be a beginning....this is SO confusing!
The natural numbers are defined as {1,2,3,4....} The set is infinite, but it has a beginning. The weird thing is that it has the same cardinality as the integers, ie, {...-1,0,1,...}. One has a beginning and no end. The other has no beginning or end. But technically they are both the same size.

The real number line is also infinite, but is actually "bigger" than the infinite of the set of integers. Now does that blow your mind?

heh isnt it also true that any dense subset of the reals has the same cardinality as the reals? for example...there are just as many numbers in [1,2] as there are in [-infinity,infinity]
 
There is no beginning.

As the individual above pointed out, there are AS MANY Numbers between 1 and 2 as there are between infinity and negative infinity.

Cool thing is that there is no middle either in the number line. 0 is not the middle. There are just as many numbers to the left of 500 as there are to the right of 500 on the number line. =)

A lot of people cant grasp infinity, and so they argue 0.999999... (infinite 9s) != 1 because they think it never approaches 1, but the reality is with INFINITE 9s, it is 1. There is no approach. An APPROACH indicates truncation of the 9s, and thus the impossibility of infinity...
 
Originally posted by: DLeRium
Originally posted by: Toki
we are finite creatures, and therefore cannot comprehend infinite concepts. after realizing that, i just think of infinity as really really big.

What about God? God is infinite right?

as are we... as is everything... as is nothing
 
Originally posted by: DLeRium
A lot of people cant grasp infinity, and so they argue 0.999999... (infinite 9s) != 1 because they think it never approaches 1, but the reality is with INFINITE 9s, it is 1. There is no approach. An APPROACH indicates truncation of the 9s, and thus the impossibility of infinity...


Isn't that an asymptote? Closer and closer to 1 with each additional digit but never crossing?
 
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