The Liar Speaks Truth
"This statement is false." If the statement is true, then it must be false. If it is false, then it must be true. The liar's paradox reveals that self-reference creates a loop where truth and falsehood become indistinguishable — a serpent swallowing its own tail in the domain of logic.
001The Arrow That Never Arrives
At every instant, the arrow occupies a space exactly equal to itself. An object occupying a space equal to itself is at rest. Therefore, at every instant, the arrow is at rest. If it is at rest at every instant, it never moves — yet it flies. Zeno found infinity hiding inside every moment of motion.
002The Ship That Remains
If every plank of a ship is replaced over time, is it still the same ship? And if the old planks are reassembled into a second vessel — which is the true Ship of Theseus? Identity dissolves when we look too closely, like a word repeated until it loses meaning.
003The Grandfather's Clock
Travel back in time and prevent your grandfather from meeting your grandmother. You are never born. But if you were never born, you could not have traveled back. The timeline folds upon itself like origami — each crease undoing the fold that created it.
004The Heap That Vanishes
One grain of sand is not a heap. Adding one grain to a non-heap cannot create a heap. Yet ten thousand grains form a heap. At what precise grain does the transformation occur? The sorites paradox reveals that our categories are fictions we agree upon — borders drawn on borderless terrain.
005The Unliftable Stone
Can the omnipotent create a stone so heavy that even the omnipotent cannot lift it? If yes, then there exists something the omnipotent cannot do — lift the stone. If no, there exists something the omnipotent cannot do — create such a stone. Omnipotence becomes its own limitation.
006The Green Apple Proves Ravens Black
"All ravens are black" is logically equivalent to "all non-black things are non-ravens." Therefore, observing a green apple — a non-black non-raven — provides evidence that all ravens are black. Every object you see that is not a black raven confirms the hypothesis. The universe is drowning in evidence.
007座 — Sit
Contradiction is not a problem to be solved but a condition to be inhabited. The study of 矛盾 begins where certainty ends. Sit with what cannot be reconciled. Let the paradox remain.