kay wrote:hayze99 wrote:I know you've got a science degree, so I probably shouldn't argue.
But I thought it was just a metaphor for the way that quantum particles work - i.e a photon being both a wave and a particle until you observe it, when it finally decides to become one state or another.
It's just a thought experience based on treating quantum object the same as classical objects. There's nothing literal about it.
Argue away, I haven't got a physics degree!
You're correct, Schrodinger's Cat is a thought experiment used to demonstrate some of the basic concepts in quantum mechanics. However, it does not describe a paradox. What it does do is illustrate that until an object is observed, it remains as a state of possibilities. Observation collapses the wave function, and the state of the object becomes "fixed". There is no paradox involved. The thing that
seems paradoxical is that quantum theory flies in the face of everything we observe with our naked eyes, ie something either is or isn't. Not both is and isn't.
With regards Zeno's paradox, the proposed solution is that there is a minimum length to which space can be divided. Imagine a chain made up of links. You can halve and halve and halve the length of the chain until you get down to a single link. After that point, you can no longer halve it. Think of space in the same way. This smallest length is usually called the Planck Length. Once you look at the paradox in this way, the paradox resolves itself.
I think that apparent paradoxes are caused by having an incorrect frame of reference, or a failing in logic. This includes moral paradoxes because morality does not necessarily have anything to do with logic. And morality is also very dependent on the frame of reference.

I was never claiming it to be a paradox - just explaining it. It's confused because of when people say that a proton is both a wave and a particle at the same time, which seem to be opposed, but the fact is that they're neither one or the other - as you've said it's just a state of possibilities. Just simplifying what you just said.
What you say about the planck length and zeno's paradox is extremely interesting. However, I think that planck length is only the smallest length we know to exist with the knowledge we have, looking at gravity and light and all that jazzy stuff. I think if Zeno's paradox is to stay in a platonic space, since it never would be practically existent at all, the length could still be cut smaller and smaller an infinite amount of times. The second you take it into the practical world it's limited by the smallest space we know to exist right now (which I think will keep shifting).
Another paradox is the algebraic equation.
1x0 = 0
2x0 = 0
thus
0x1 = 0x2
divide by zero:
(0/0)x1 = (0/0)x2
thus:
1=2
But it relies on the fact that you can divide by zero in the first place (which by certain logic is in fact possible)
And one dealing with infinite:
http://en.wikipedia.org/wiki/Hilbert's_ ... rand_Hotel
Basically, a hotel with infinite rooms, and infinite guests. Another one arrives; can he be accommodated. No, because it's full, but yes, because it's infinite. Then it gets a bit crazy talking about rooms sliding all over the place and chunks being taken out and so on.
and more on infinite:
http://www.suitcaseofdreams.net/Infinity_Paradox.htm, explaining the previous thing.
And check out this geezer for more on infinite:
http://en.wikipedia.org/wiki/Georg_Cantor
The dude ended up scrawling thousands of books of mathematics that nobody else could understand. He would end up in insane asylums, come out, live a normal life, then start writing maths in books again until he ended up in a mental hospital once more; repeat x 100. He eventually killed himself.
This documentary outlines some of it, it's incredible:
http://video.google.com/videoplay?docid ... 4649921614#