Completeness Axiom

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Completeness Axiom

Postby wuyiquant_tobe » Sat Nov 10, 2012 9:46 am

Hi All,

Just need some clarification on the dentition of the axiom.In this book page 10, this axiom states that if L and M are non empty sets with l<=m for each l belong to L and m belong to M, then there exist a real number alpha such that alpah >=l for each l belong to L and alpha<=m for each m belong to M.

I think the clarification i need here is does the >= and <= means larger OR equal to AND smaller OR equal to, or does it mean larger and equal to AND smaller and equal to? According to my current understanding it should be the former not the latter, am I right or wrong on this?
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Re: Completeness Axiom

Postby mj » Mon Nov 19, 2012 8:16 pm

former
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