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Aug 26, 2017 at 14:14 comment added Nagase What I'll say may be completely off mark, but one notable thing about recursion is that, in a certain sense, it allows us to "condense" infinitary resources using finitary means. For instance, without recursion, it's not possible to define addition in the first-order theory of the naturals with the successor function, as that would require an infinitely long formula. Recursion allows us to "condense" all the infinitely many clauses in a single finitary formula. Maybe there is some relation?
Aug 7, 2017 at 0:11 history edited Alec Rhea CC BY-SA 3.0
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Aug 6, 2017 at 12:39
Aug 6, 2017 at 2:08 history edited Alec Rhea
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Aug 6, 2017 at 1:53 history asked Alec Rhea CC BY-SA 3.0