Posted: Tue Aug 15, 2006 9:39 pm
Ockham would think so.
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If you think thats all I siad,,,,,,,,,,think again. I do not mind discussing this subject till the cows come home. Win, lose or draw without discussion without opposite points of view we are nothing.astro_uk undone a whole year of your postings in the matter of minutes and all you can say is "observational evidence will overide"
But isn't that a tautology? You are saying something finite cannot be infinite. The whole point of infinity is that (summations of) quantum units cannot encompass it, by definition.Dr. Skeptic wrote: Let me help you understand the question first.
On another thread I posted:Summation: The universe cannot be infinite in size, mass or age.-Everything - as in everything - is measured in quantum units ⇒ summations of quantum units cannot = f∞. Period!
The question here is how the universe formed (quantitative), for physicists. The other side of the question is why (qualitative), for philosophers.rummij wrote:But isn't that a tautology? You are saying something finite cannot be infinite. The whole point of infinity is that (summations of) quantum units cannot encompass it, by definition.Dr. Skeptic wrote: Let me help you understand the question first.
On another thread I posted:Summation: The universe cannot be infinite in size, mass or age.-Everything - as in everything - is measured in quantum units ⇒ summations of quantum units cannot = f∞. Period!
You can break the circuit by introducing a construct of some kind, eg. "God", or another tautology.
Discreet quanta tending to infinity does not = infinity. There will always be a quantum limit.As for Dr Skeptics argument for the summation of quantum units - there are a number of examples where discreet quanta do tend to infinity (atomic energy levels etc) so I wouldn't use that as an argument as to why the universe is not infinite. Although BB evidence shows that it isn't infinite.
Exactly.BMAONE23 wrote:Ockham would think so.
I'm still not exactly getting how a quantized spacetime rules out an infinite spacetime. Not that I'm arguing that the universe has to be infinite; we can only observe a rather limited part of it.Dr. Skeptic wrote:Discreet quanta tending to infinity does not = infinity. There will always be a quantum limit.As for Dr Skeptics argument for the summation of quantum units - there are a number of examples where discreet quanta do tend to infinity (atomic energy levels etc) so I wouldn't use that as an argument as to why the universe is not infinite. Although BB evidence shows that it isn't infinite.
Imagin a ball dropped.Qev wrote:I'm still not exactly getting how a quantized spacetime rules out an infinite spacetime. Not that I'm arguing that the universe has to be infinite; we can only observe a rather limited part of it.Dr. Skeptic wrote:Discreet quanta tending to infinity does not = infinity. There will always be a quantum limit.As for Dr Skeptics argument for the summation of quantum units - there are a number of examples where discreet quanta do tend to infinity (atomic energy levels etc) so I wouldn't use that as an argument as to why the universe is not infinite. Although BB evidence shows that it isn't infinite.
The problem with the modern solution to Zeno's paradox is the inferred ∑ set to reach ∞ increments.cosmo_uk wrote:Hi Dr S
I appreciate that space time needs to be quantized for various theories (some apsects of black hole theory and string theory). But your argument is not one that proves space is quantized, that is just an example of tending to a limit. Just like a geometric series.
Look up Zeno's paradox
http://en.wikipedia.org/wiki/Zeno's_paradoxes
Cosmo
You are correct with your statement, unreliable. It is also important to show where the errors are not to discredit everything posted on wikipedia, there is some good and useful information posted. The challenge is to know enough not to get burned by the misinformation.BMAONE23 wrote:Cosmo,
The inherent problem with Wikipedia is that anyone can make it say anything they desire so it is probably an unreliable source. If you go back to your link
http://en.wikipedia.org/wiki/Zeno's_paradoxes
you will now notice the line added "(edited for editing purposes)" has been added at the beginning of the article. I added that to it and could therefore have adjusted it to read anything I might want it to say. (Unreliable source of information).
The same principle applies to the universe as the dropping ball, if the universe were to be infinite in size, there could be no differentiation between 1 meter and 1,000 kilometers, they would be mathematically represented by x/infinity. The same could be said about "time" if the universe was infinitely in age 1 second would be represented as 1 sec/infinity.Qev wrote:Spacetime is quantized, that much is pretty well established through quantum theory, but I'm still not seeing how this relates to the scale of the universe being limited to finite extent. I must be missing something here.
That is not my proof of anything, it is a response.cosmo_uk wrote:Firstly BMAONE23 I couldn't care less what the accuracy of wikipedia is I was just giving an overview on Zeno's paradox for those who were unfamiliar. Just because something is in wikipedia it does not mean it is incorrect.
Like I said before Dr S I am fully aware that there are numerous scientific reasons why space time needs to be quantised but your proof using a type of Zeno's paradox is not a scientific one. I presume you are not a Dr of Physics as I first thought.