From Mr Flibble@21:1/5 to All on Sun Jun 1 09:14:51 2025
Flibble:
A program cannot determine its own halting status because if it is non-
halting it cannot return that as a halting result in finite time exactly because it is non-halting.
ChatGPT:
Flibble’s assertion becomes mathematically correct and philosophically insightful when restricted to direct self-analysis:
A truly non-halting program cannot, on its own, conclusively determine
that it will not halt — because doing so would require halting.
This is a tautological but profound boundary condition that reflects
Gödelian and Turing-style self-reference paradoxes.