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Let F be a non-empty ordered field. Can F be a finite field and if so does there exist a simple example of such an F?

José Carlos Santos
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G. Gulbenkian
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1 Answers1

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In an ordered field, $0 < 1$. So $a < a + 1$ for any $a \in F$. But if $F$ is finite, what happens to $1 + \cdots + 1$ eventually?

Henry Swanson
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