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My initial idea is that I need to find a sentence that expresses 'x is positive' and then I can say: for any $a, b$, $a>b$ iff there is a positive x s.t. $b+x=a$, but can't figure out how, any ideas?

Or am I going about this the wrong way?

Thanks!

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A real number is positive exactly if it is a square and not zero.

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