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#4
02-09-2006, 11:46 PM
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Re: 0 = infinity
none that will make sense.
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#6
02-09-2006, 11:49 PM
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Re: 0 = infinity
The math skills of some on this forum seem a bit ,,, sketchy?
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#8
02-10-2006, 12:10 AM
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Re: 0 = infinity
Here's something you could read way too much into philisophically. It's actually pretty much vacuous, but it might entertain a few people.
When you use Axiomatic Set Theory to build the natural numbers, rational, real, etc, you first have to have an axiom that the empty set exists. Another axiom is that, if a set S exists, then the set S' whose only member is S exists. Then there are some other axioms about how you can combine sets to get new sets. It can be proved that there is no biggest set: There is no set that contains all other sets. There is no biggest infinity. Now, you could do it the other way. You could have an axiom that the set containing all sets exists. Then you can have an axiom that if a set S exists, and if it contains itself as an element, then the set S' exists that contains all the same members as S except for S itself. Then you make a few similarly mirrored axioms about how to get new sets from old sets, and you can finally prove that 0 doesn't exist. So yeah, in that manner, 0 = the biggest infinity.
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#10
02-10-2006, 12:12 AM
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Re: 0 = infinity
[ QUOTE ]
Zero is just a concept too, give one example of something that is truly zero. Absolute zero can not be achieved, second law of thermodynamics. [/ QUOTE ] So how are two unrelated concepts equal? Prove that hungry equals not hungry (hey, they're both concepts!). A valiant attempt to appear philosophical, but alas, you fail.
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