1: Analytic: a bachelor is by definition an unmarried man; an unmarried man is by definition a bachelor. As you can see, there is nothing we can see that might render the sentence as a function of external state of affairs.
Perhaps these examples are easier to grasp: 1+1=2 or i²=-1; they are true by virtue of meaning within their respective framework.
"S is P" ( S for subject, P for predicate) is analytic iff its negation is contradictory ( due to the fact that the concept of the predicate is contained, as says Kant, in the concept of the subject).
" Some bachelor is married" is clearly contradictory.
Is " Some apple is not a fruit" contradictory. Can we conceive of a possible world in which something ...
While (1) is widely regarded as analytic, i.e. true by virtue of the meaning of words, I don't think it is a priori, known or knowable independently of or prior to experience. For one thing, you need to know the English language in order to understand it, and that knowledge is not a priori. More than that, the concepts of 'bachelor' and '...
The usual term is an 'inconsistent triad' :
an inconsistent triad ... a collection of
propositions, any two of which are compatible with
each another but which, when viewed together in a
threesome, form a contradiction.
(Albert Weale, 'Rationing Health Care: A Logical Solution to an Inconsistent Triad', British Medical ...