Self-referential sentences have troubled our understanding of language for centuries. The most famous self-referential sentence is probably the Liar, a sentence that says of itself that it is false. The Liar Paradox has encouraged many philosophers to establish theories of truth that manage to give a proper account of the truth predicate in a formal language. Kripke’s Fixed Point Theory from 1975 is one famous example of such a formal theory of truth that aims at giving a plausible notion of (...) truth by allowing truth value gaps. However, not only the concept of truth gives rise to paradoxes. A syntactical treatment of epistemic notions like belief and knowledge leads to contradictions that very much resemble the Liar Paradox. Therefore, it seems to be fruitful to apply the established theories of truth to epistemic concepts. In this paper, I will present one such attempt of solving the epistemic paradoxes: I adapt Kripke’s Fixed Point Theory and interpret truth, knowledge and belief within the framework of a partial logic. Thereby I find not only the fixed point of truth but also the fixed points of knowledge and belief. In this fixed point, the predicates of truth, belief and knowledge find their definite interpretation and the paradoxes are avoided. (shrink)

When a belief is self-fulfilling, having it guarantees its truth. When a belief is self-defeating, having it guarantees its falsity. These are the cases of “self-impacting” beliefs to be examined below. Scenarios of self-defeating beliefs can yield apparently dilemmatic situations in which we seem to lack sufficient reason to have any belief whatsoever. Scenarios of self-fulfilling beliefs can yield apparently dilemmatic situations in which we seem to lack reason to have any one belief over another. Both scenarios have been used (...) independently to challenge Evidentialism, on which what we may rationally believe is all and only what fits our current evidence. Here we tie the two scenarios together and explore what a knowledge-sensitive evidentialist approach to one implies for the other. (shrink)