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Infinity.

Holy Roller

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Do you mean Zeno?

[FONT=Palatino Linotype, serif]"I myself flatly refused to believe Darwin's theory when I first heard about it as a child" - Richard Dawkins, The Blind Watchmaker

"I myself"? Why the redundancy?
[/FONT]
 
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Holy Roller

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You are going to get a better grasp of infinity if you look at set theory, rather than philosophy.

Infinity seems to pop up everywhere. In mathematics, as formerly illustrated, and in dimensions, such as the difference between Planiverse and our three spacial dimensions (Planiverse is that reality where there are just two spacial dimensions: up & down, and left & right. That differs from our geometry, where we have up & down, left & right, and back & fourth, for a total of three spacial dimentions) If we were to try to create our three dimentions from sheets of Planivers's, we'd have to stack up an infinite amount of planes to create our three dimentions (like stacking up two-dimentional sheets of paper to obtain a three-D cube to throw in the copier).
Even G-d Himself is infinite.

Thus, infinity and its precepts may move in between either philosophy, mathematics, extra dimentions of space, or with G-d.
 
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Blayz

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Infinity seems to pop up everywhere. In mathematics, as formerly illustrated, and in dimensions, such as the difference between Planiverse and our three spacial dimensions (Planiverse is that reality where there are just two spacial dimensions: up & down, and left & right. That differs from our geometry, where we have up & down, left & right, and back & fourth, for a total of three spacial dimentions) If we were to try to create our three dimentions from sheets of Planivers's, we'd have to stack up an infinite amount of planes to create our three dimentions (like stacking up two-dimentional sheets of paper to obtain a three-D cube to throw in the copier).
Even G-d Himself is infinite.

Thus, infinity and its precepts may move in between either philosophy, mathematics, extra dimentions of space, or with G-d.

None of which denies my assertion.
 
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ArnautDaniel

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Infinity seems to pop up everywhere. In mathematics, as formerly illustrated, and in dimensions, such as the difference between Planiverse and our three spacial dimensions (Planiverse is that reality where there are just two spacial dimensions: up & down, and left & right. That differs from our geometry, where we have up & down, left & right, and back & fourth, for a total of three spacial dimentions) If we were to try to create our three dimentions from sheets of Planivers's, we'd have to stack up an infinite amount of planes to create our three dimentions (like stacking up two-dimentional sheets of paper to obtain a three-D cube to throw in the copier).
Even G-d Himself is infinite.

Thus, infinity and its precepts may move in between either philosophy, mathematics, extra dimentions of space, or with G-d.

Infinity is purely a concept of abstract mathematics and has no other usage.

It only reflects issues with the mathematical formalism being used.

It has nothing to do with nature.
 
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Blayz

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[FONT=Palatino Linotype, serif]"I myself flatly refused to believe Darwin's theory when I first heard about it as a child" - Richard Dawkins, The Blind Watchmaker

"I myself"? Why the redundancy?
[/FONT]

Because Dawkins is a supercilious tosspot?
 
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Radagast

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Infinity is purely a concept of abstract mathematics and has no other usage ... It has nothing to do with nature.

Not quite. The OP was unfortunately rather ambiguous, but "infinity" can mean several different things, e.g.

  • Infinite length in a spatial or time dimension (as someone has said, this may be infinite in one direction or both)
    • Is the universe spatially infinite? Seemingly, no.
    • Is the universe temporally infinite? It has a starting point, but "yes" if it lasts forever.
  • Infinite in cardinality
    • Does a finite lump of matter contain infinitely many "pieces"? No, because matter comes in particles.
    • Does the universe contain infinitely many particles? Not if it's spatially finite.
    • Does a finite time interval contain infinitely many "instants"? See here. Roll on, Zeno.
  • Theological uses, generally shorthand for more precisely defined concepts like eternal, omnipresent, perfectly good, etc.
 
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thaumaturgy

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Do you mean Zeno?

I believe the "Zoro Paradox" is stated as;

If I were to flick my rapier across your shirt to make a giant "Z" to mark that I have been here and bested you, I would first have to make half of the "Z", but in order to make half of the "Z" I would have to make half of the half of the "Z", but in order to do that I would have to make half of the half of the half of the "Z" and so forth, thereby keeping me posed in front of you laughing haughtily with my rakish grin until infinity which would give Governor Rafael Montero sufficient time to come and capture me thereby rendering me incapable of further escapades culminating in me besting people and trying to rip the letter "Z" in their shirts with my rapier as I laugh rakishly!

If I recall my philosophy class correctly.
 
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Wiccan_Child

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[FONT=Palatino Linotype, serif]"I myself flatly refused to believe Darwin's theory when I first heard about it as a child" - Richard Dawkins, The Blind Watchmaker

"I myself"? Why the redundancy?
[/FONT]
He's being emphatic.

Infinity seems to pop up everywhere. In mathematics, as formerly illustrated, and in dimensions, such as the difference between Planiverse and our three spacial dimensions (Planiverse is that reality where there are just two spacial dimensions: up & down, and left & right. That differs from our geometry, where we have up & down, left & right, and back & fourth, for a total of three spacial dimentions) If we were to try to create our three dimentions from sheets of Planivers's, we'd have to stack up an infinite amount of planes to create our three dimentions (like stacking up two-dimentional sheets of paper to obtain a three-D cube to throw in the copier).
Only if our third z dimension is continuous. If it is discrete, then we only need a finite number of planes to make a finite volume.

Even G-d Himself is infinite.
In what regard? He is infinitely long?

Thus, infinity and its precepts may move in between either philosophy, mathematics, extra dimentions of space, or with G-d.
I disagree. Infinity is a mathematical concept

ok if you have infinity and you subtract infinity what do you get?
Subtraction is not defined for infinity ;).
 
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Tomk80

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[FONT=Palatino Linotype, serif]"I myself flatly refused to believe Darwin's theory when I first heard about it as a child" - Richard Dawkins, The Blind Watchmaker

"I myself"? Why the redundancy?
[/FONT]
Yeah Dawkins, shame on you for using English. You bad, bad man!
 
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Cabal

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LOL.
If something* has a beginning but no end, is it infinite? NO
If something has an end but no beginning, is it likewise infinite? NO
Further, suppose something has no beginning and no end? Is it infinite? YES

So how exactly can you add two finite sets to make an infinite one?
 
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ArnautDaniel

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Not quite. The OP was unfortunately rather ambiguous, but "infinity" can mean several different things, e.g.

  • Infinite length in a spatial or time dimension (as someone has said, this may be infinite in one direction or both)
    • Is the universe spatially infinite? Seemingly, no.
    • Is the universe temporally infinite? It has a starting point, but "yes" if it lasts forever.
  • Infinite in cardinality
    • Does a finite lump of matter contain infinitely many "pieces"? No, because matter comes in particles.
    • Does the universe contain infinitely many particles? Not if it's spatially finite.
    • Does a finite time interval contain infinitely many "instants"? See here. Roll on, Zeno.
  • Theological uses, generally shorthand for more precisely defined concepts like eternal, omnipresent, perfectly good, etc.

Really.

Okay, show me a non-mathematical infinity.

There aren't any.

In fact, in a physical model, any tendency to infinity should really be construed as one going outside the regime for which the model is approximately valid.
 
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Cabal

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you can't. if you could then it wouldn't be infinite.

Surely then, that would imply that all three are infinite (or none of them are). Even if something is infinitely large in one direction only, that still makes it an infinitely large set.
 
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Naraoia

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[FONT=Palatino Linotype, serif]"I myself flatly refused to believe Darwin's theory when I first heard about it as a child" - Richard Dawkins, The Blind Watchmaker

"I myself"? Why the redundancy?
[/FONT]
Ask Professor Dawkins
2003_rolling_eyes_backwards.gif


Did you have any point?
 
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