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by jondgoodwin 2224 days ago
Important mistype. It should read: "The proof does NOT stop us from knowing that SOME programs will or will not halt.
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You may also be interested in Willard's Self-Verifying Theories: https://en.wikipedia.org/wiki/Self-verifying_theories
It does however apply to more properties than merely halting: https://en.wikipedia.org/wiki/Rice's_theorem