“Prayer,” says Alain, “is when night descends over thought.”“But the mind must meet the night,” reply the mystics and the existentials. Yes, indeed, but not that night that is born under closed eyelids and through the mere will of man—dark, impenetrable night that the mind calls up in order to plunge into it. If it must encounter a night, let it be rather that of despair, which remains lucid—polar night, vigil of the mind, whence will arise perhaps that white and virginal brightness which outlines every object in the light of the intelligence. At that degree, equivalence encounters passionate understanding. Then it is no longer even a question of judging the existential leap. It resumes its place amid the age-old fresco of human attitudes. For the spectator, if he is conscious, that leap is still absurd. In so far as it thinks it solves the paradox, it reinstates it intact. On this score, it is stirring. On this score, everything resumes its place and the absurd world is reborn in all its splendor and diversity.
But it is bad to stop, hard to be satisfied with a single way of seeing, to go without contradiction, perhaps the most subtle of all spiritual forces. The preceding merely defines a way of thinking. But the point is to live.
—  Albert Camus, The Myth of Sisyphus.

You always told me I was a paradox and how you hated that. You always said that I disliked being lazy, but all I wanted to do was sleep. You constantly complained how I hated to cook, but never wanted to go out for dinner. You used to say how the only color I own is black, but my favorite color was green and how that never made sense to you—how I never made sense to you. It’s funny though. You used to say all these words that made me feel like I was crazy and yet, you’re the one who told me you would always stay, but ended up leaving.

You became what you hated and if that isn’t a a paradox, I don’t know what is.
—  Kelsey Gustafsson (paradox)
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The Fermi Paradox — Where Are All The Aliens?

Coin rotation paradox

Consider two round coins of equal size. Imagine holding one still and rolling the other coin around it, making sure that it doesn’t slip. How many times will the outer coin rotate during a full revolution around the stationary coin?

If you (like most people) believe the answer to be only once, you’re wrong:

So the outer coin will already have made a full rotation when it reaches the opposite side, perhaps contrary to our intuition. Related paradoxical effects involving rolling circles are Aristotle’s paradox and Copernicus’ theorem.