The Principle of Contradiction, the criterion for Logico-Mathematical ‘Proof’, itself has no proof, cannot be proven in a rational framework.
If ‘All things are False’-so is the claim: ‘All things are False!’ If ‘Nothing is True’- so is the declaration: ‘Nothing is True!
But hold on just a second. To say; ‘Nothing is True!’ is not a lie. In fact, I have no idea what it is. For I am firmly in the grip of the Self-Loop.
The principal defense of the Principal Principle, Aristotle’s ‘Self-Destroying Argument’ is contained in a Self-Eating Expression.
In Aristotle’s words: ‘The beginning of demonstration cannot [itself] be demonstrated..those who insist on being refuted by argument seek the impossible; for in insisting that they be proven to be self-contradictory, they already contradict themselves..’.
So why should you not violate the Principle of Contradiction?
You should not violate the Principle of Contradiction because if you violate the Principle of Contradiction you thereby contradict yourself and thereby violate the Principle of Contradiction.
The Contradiction Principle becomes the ‘First Principle of Analytic Cognition’ when, and only when, the cognition begins on the presumption of an Independent and Separate ‘Self’. Question that, and as the anxious Physicist warned: ‘you question everything’.
The Self-Destroying Argument includes ‘positive terms’ such as ‘All Things are True’. This will ultimately get you to True Nothing, but it is the longer and more confusing route.