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Topic: Anti-foundation axiom
Replies: 11   Last Post: Mar 15, 2013 6:00 AM

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Frederick Williams

Posts: 2,164
Registered: 10/4/10
Re: Anti-foundation axiom
Posted: Mar 9, 2013 6:19 PM
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Charlie-Boo wrote:

> You can't really have axioms for set theory. Axioms are a way to
> formalize our understanding of a subject e.g. number theory or
> geometry. They are so well developed and understood that we try to
> codify our great understanding with a formal system.
>
> But how well do we understand sets? There are a dozen versions of set
> theory. You end up with conflicting theorems from one system to
> another!! Can you imagine 2 different versions of Geometry or Number
> Theory? At most one would be right.


I like you Charlie. I often think I'm the dimmest poster to sci.logic
and sci.math and it's a bit embarrassing. But then you come along...
thanks pal!

--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting



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