Philosophy
Paradox of analysis: It seems that no conceptual analysis can meet the requirements both of correctness and of informativeness.
Buridan's bridge: If Plato says "If you make a false statement, I will throw you in the water", and Socrates responds, "You will throw me in the water", there is no way for Plato to keep his promise.
Paradox of fiction: How can people experience strong emotions from purely fictional things?
Fitch's paradox: If all truths are knowable, then all truths must in fact be known.
Paradox of free will: If God knows in advance how we will decide, how can there be free will?
Goodman's paradox: Why can induction be used to confirm that things are "green", but not to confirm that things are "grue"?
Paradox of hedonism: When one pursues happiness itself, one is miserable; but, when one pursues something else, one achieves happiness.
Liberal paradox: "Minimal Liberty" is incompatible with Pareto optimality.
Meno's paradox: (Learner's paradox) A man cannot search either for what he knows or for what he does not know.
Mere addition paradox: (Parfit's paradox) Is a large population living a barely tolerable life better than a small, happy population?
Moore's paradox: "It's raining, but I don't believe that it is."
Newcomb's paradox: A paradoxical game between two players, one of whom can predict the actions of the other.
Paradox of nihilism: Several distinct paradoxes share this name.
Omnipotence paradox: Can an omnipotent being create a rock too heavy for itself to lift?
Preface paradox: The author of a book may be justified in believing that all his statements in the book are correct, at the same time believing that at least one of them is incorrect.
Problem of evil: (Epicurean paradox) The existence of evil seems to be incompatible with the existence of an omnipotent, omniscient, and morally perfect God.
Rule-following paradox: Even though rules are intended to determine actions, "no course of action could be determined by a rule, because any course of action can be made out to accord with the rule".
When a white horse is not a horse: White horses are not horses because white and horse refer to different things.
Zeno's paradoxes: "You will never reach point B from point A as you must always get half-way there, and half of the half, and half of that half, and so on …" (This is also a paradox of the infinite)
Mysticism
Maya (illusion): Our illusions are not real, yet it's real that illusion itself exists.
Tzimtzum: In Kabbalah, how to reconcile self-awareness of finite Creation with Infinite Divine source, as an emanated causal chain would seemingly nullify existence. Luria's initial withdrawal of God in Hasidic panentheism involves simultaneous illusionism of Creation (Upper Unity) and self-aware existence (Lower Unity), God encompassing logical opposites.