If a priori intuition about analytic truths depends on socially-embedded linguistic competence, the distinction between 'understanding alone' and 'understanding plus world' collapses.

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Socially-embedded(as used in social epistemology): Deeply rooted in or shaped by the social world and communities you're part of, rather than being purely individual or universal.
The distinction between 'understanding alone' and 'understanding plus world'(as used in epistemology): The boundary between knowledge you get just from thinking and language (understanding alone) versus knowledge that requires actual experience with reality (understanding plus world).
a priori(Frege treats 'analytic' as entailing 'a priori' for arithmetic.): Knowable independently of empirical experience; here treated as a consequence of analyticity.
analytic truths(Humean account of necessary truths): Truths whose truth is grounded solely in the structure of language or conceptual schemes, requiring no mind-independent abstract entities or divine mind

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