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Set Theory

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Posted by Harvey on November 8, 2001 21:51:26 UTC

Alex,

You have simply removed every element from a set until you have a null set. Now, what is the definition of the null set? It is afterall an axiom in ZF set theory. Here, I'll even put the axiom of the empty set in mathematical form so there is no misunderstanding:

ExAy[y not = x]

Translation: there is an empty set that contains no set.

Now, what is x refer? what is y refer? Define not equal. Define set.

Warm regards, Harv

Follow Ups:

No, I do not mean any set or any theory at all. - alexander - November 8, 2001 - 22:03 UTC
- Alex - harvey1 - November 8, 2001 - 22:18 UTC
  - Incorrect, null (zero) is more basic than a null set. - alexander - November 8, 2001 - 22:51 UTC
- Null? - harvey1 - November 8, 2001 - 23:40 UTC
  - Existence of ANYTHING. - alexander - November 9, 2001 - 00:03 UTC
- Oh boy... - harvey1 - November 9, 2001 - 00:41 UTC
  - Logic (math) works better for me than belief. - alexander - November 9, 2001 - 00:55 UTC
- More LF - harvey1 - November 9, 2001 - 03:24 UTC

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