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On 11/10/24 5:01 PM, olcott wrote:There cannot possibly be any expressions of language thatOn 11/10/2024 2:39 PM, joes wrote:But since there exist statements that are True but not Provable. except by your incorrect definition of Provable, your logic is just broken.Am Sun, 10 Nov 2024 14:07:44 -0600 schrieb olcott:>On 11/10/2024 1:13 PM, Richard Damon wrote:>On 11/10/24 10:11 AM, olcott wrote:On 11/10/2024 4:03 AM, Alan Mackenzie wrote:In comp.theory olcott <polcott333@gmail.com> wrote:On 11/9/2024 4:28 PM, Alan Mackenzie wrote:olcott <polcott333@gmail.com> wrote:On 11/9/2024 3:45 PM, Alan Mackenzie wrote:I still can’t see how this makes ~C provable.Sorry, but until you actually and formally fully define your logicWhen C is a necessary consequence of the Haskell Curry elementary
system, you can't start using it.
theorems of L (Thus stipulated to be true in L) then and only then is C
is True in L.
This simple change does get rid of incompleteness because Incomplete(L)
is superseded and replaced by Incorrect(L,x).
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If C is not provable it is merely rejected as incorrect
not used as any basis to determine that L is incomplete.
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For many reasons: "A sequence of truth preserving operations"
is a much better term than the term "provable".
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