A trivial note
Given standard axioms for Propositional logic
A->A is a tautology
Consequently, 1. Circularity is not a remarkable property (It is not any strong argument for a position)
2. Contradiction still exists
But a system cannot meaningfully say anything about it’s axioms other than their logical consequences.
Consequently, since axioms being the logical consequences of themselves is exactly circularity
In a bayesian formulation there is no way of justifying a prior
Or in regular logic you cannot formally justify axioms nor the right to take them.
A trivial note
Given standard axioms for Propositional logic
A->A is a tautology
Consequently, 1. Circularity is not a remarkable property (It is not any strong argument for a position)
2. Contradiction still exists
But a system cannot meaningfully say anything about it’s axioms other than their logical consequences.
Consequently, since axioms being the logical consequences of themselves is exactly circularity
In a bayesian formulation there is no way of justifying a prior
Or in regular logic you cannot formally justify axioms nor the right to take them.