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I'm a postgraduate student working in logic and computational semantics, and found your description to be somewhat misleading. In semantics an extension is usually some kind of denotation, something that's semantic in nature, while an intension is some kind of symbolic surface form, something
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syntactic in nature. I've changed your article to reflect a definition which I believe to be more compatible with the definitions I've found in several logic textbooks.
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I created this page because I need to refer to the extension of a predicate in material I wish to include in the
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Knowledge. If you would like to participate, please visit the project page, where you can join
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