Quite simply, if a contradiction may be proved in Peano arithmetic, then established concept could be logically inconsistent. Even so, opinions and recommendations — and perhaps expectations and familiarity — do vary about what to do in these circumstances. An instance is how in the draft manuscript of my past https://vegetarianayurvedicremedies.fitness.blog/2025/08/18/cureayu-pure-effective-vegetarian-ayurvedic-remedies/