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What of a "square circle"? The statement, "don't hold your breath, until you turn blue" is also a non-logical phrase. The classic barber of Seville or Creten liar provides limits to logic and reason. Zeno's paradox of Achilles and the tortoise is also another example of the limits of logic. The so-called "paradoxes" exist because logic and reason, as wonderful a tool for approximating reality as they are, fall short of modeling the infinite universe. Logical paradoxes are akin to "division by zero" in mathematics; such errors display the limits of finite tools in modeling the infinite. The map is not the territory, and conceptualising the universe only in terms of logic and reason only binds men to blindness such tools bring.
RE: Impossible Questions