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content/first-order-logic/beyond/second-order-logic.tex

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included in the !!{derivation} system, then we have the added requirement that
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there are enough relations in the ``second-order part'' to satisfy the
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comprehension axioms---otherwise the !!{derivation} system is not sound!{} One
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easy way to insure that there are enough relations around is to take
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easy way to ensure that there are enough relations around is to take
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the second-order part to consist of \emph{all} the relations on the
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first-order part. Such !!a{structure} is called \emph{full}, and, in a
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sense, is really the ``intended !!{structure}'' for the language. If

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