
November 4th, 2003, 04:58 PM
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First Lieutenant
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Join Date: Sep 2000
Location: Texas
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Re: Important Math Question
Quote:
Originally posted by geoschmo:
Hmmmm, I seem to have hit a problem here. My previous post started out as a statement showing why Phoenix-D was right, that an infinite universe would not be infinitly hot.
However, in my post I stated that any particular point in in infinite universe would contain not an infinite number of photons, but very small and finite fraction of the total number of photons in the universe. However, according to those that are supposed to know about this stuff, any fraction of infinity is still infinity. Of course mathematics also tells us that any number divided by itself is 1. Therefore infinity divided by infinity is simultaneously equal to infinity, and 1. (By the way, if noone has thought of that before I am going to name it the Geoschmo paradox. )
So I guess Phoenix-D and Grandpa Kim are both right. Glad we cleared that up.
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Any fraction of infinity is indeed infinity so in any given piece of space in an infinite universe there are an infinite number of particles. But what is overlooked is they don't have to be photons or any particle we know of. One could say that in an infinite universe things advance to the infinitely large and infinitely small. Thus in any given point of space there exists an entire infinite universe composed of the infinitely smaller and smaller particles that make up that space.
The infinite universe would be infinetly large and infinitely small. That is more than my mind wants to take in atm. Sooo....
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Oh hush, or I'm not going to let you alter social structures on a planetary scale with me anymore. -Doggy!
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