And the doctrine that mathematics is analytic ac complishes a less fundamental simplification for philosophy than would at first appear, if it asserts only that mathematics a conventional tran scription of logic and not that logic is convention turn: for if in the end we are to countenance any a priori principles at all which a re indepen dent of convention, we sholiid not scruple to admit a few more, nor at tribute crucial importance to conventions which serve only to diminish the nllmber of sllch principles by reducing some to others.