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Talk:Second-order propositional logic

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This is an old revision of this page, as edited by Jason Quinn (talk | contribs) at 15:36, 28 May 2010 (question about Second-order propositional logic). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
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Difference between "Second-order propositional logic" and "Second-order logic"?

What's the difference? I thought "propositional logic" was logic without quantifiers, first-order logic adds quantifiers over elements in some domain of discourse to propositional logic, and second-order logic adds quantifiers over prepositions to first-order logic. I don't see where "second-order propositional logic" finds its niche. Jason Quinn (talk) 15:36, 28 May 2010 (UTC)[reply]