Which of these formulas is better?
Which of these formulas is better?
This formula can have bizarre implications. Suppose that A and B are inconsistent and yet you hold both. Since you hold A, and A is inconsistent with B, you ought not to accept B. And since you hold B, and B is inconsistent with A, you ought not to accept A. So the principle absurdly tells you to give up both beliefs!
Which of these formulas is better?
This don't-combine formula forbids an inconsistent combination -- but doesn't tell you how to rearrange your beliefs if they turn out to be inconsistent.
Which of these formulas is better?
No they don't!