Showing posts with label axioms. Show all posts
Showing posts with label axioms. Show all posts

Wednesday, April 30, 2008

Axiom of Paradox

There is no set which cannot exist.

Think square circles.

Does this fly? Or would it merely be an extension the set of empty sets? Like the set of non-sets.

Axiom of Total Annihilation

There is no set that destroys all other sets.

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Can a set that destroys other sets even be contemplated rationally? Or is this like a divide by zero thing, but if it is irrational would that impact the truth of the nature axiom? I mean it doesn't go into WHY no set can destroy all sets, it just states that it can't.

There is no set that annihilates all other sets. The existence of sets (including this one) "prove" this.

Is this equal to an empty sent?

Any thoughts on this people?