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Unformatted text preview: is equal to 4.) Finally consider a sentence like Goldbachs conjecture is true. Goldbachs conjecture is the conjecture that every even number is the sum of two primes. No one has ever found a counter-example; but no one has ever given a proof. Perhaps the conjecture is true but there is no proof. Then Goldbachs conjecture is true will be necessary; but not a priori (since we cannot know that it is true, since we can give no proof of it) and not analytic (otherwise we could give a proof just by paying careful attention to the meanings of the words). Sometimes it is said that if egoism is a priori true, it would be trivial and uninteresting; but that is too quick. At most that would follow if it were analytic (though even that is controversial)....
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- Fall '09