Can God create a stone so heavy He cannot lift it? Either way, God is not omnipotent.

Why people find it persuasive

The paradox has the surface form of a clean logical trap: whichever horn you take, omnipotence fails, and it is fun and quotable in a way that makes it feel devastating. It also has a serious ancestor — the medieval debate over whether God's power is bounded by anything at all — so dismissing it too fast misses that a real question sits underneath the joke.

Important distinctions

• • Omnipotence as the ability to do anything imaginable vs. omnipotence as the ability to do anything logically possible.
• • A genuine task vs. a self-contradictory pseudo-task described in the grammar of a task.
• • Limits on power vs. the incoherence of the description itself.
• • Voluntarism (logic depends on God's will) vs. the classical view (logic reflects God's own rational nature).

Christian response

• • Start with the classical definition of omnipotence, stated by Aquinas in Summa Theologiae Ia.25.3: God can do whatever is absolutely possible, and what is self-contradictory 'cannot have the aspect of possibility' at all. Omnipotence is therefore not the power to do anything you can put into a sentence; it is the power to actualize any coherent state of affairs. That restriction is not a concession extracted by the puzzle — it is centuries older than the puzzle, and it follows from what power means.
• • Then show that the stone in question does not exist even as a description. 'A stone too heavy for an omnipotent being to lift' is structurally identical to 'a square circle' or 'a married bachelor': the words cancel each other out, so nothing has been named. Asking whether God can create one is not asking about a feat God might fail; it is asking whether God can bring about a contradiction, which is a question with no object. C.S. Lewis put it in The Problem of Pain: nonsense does not acquire meaning simply because we prefix it with the words 'God can.'
• • Reinforce the point with cases outside theology, since the reply can otherwise sound like special pleading. No one thinks a mathematician is limited because she cannot make two plus two equal five, or that an engineer is deficient for not building a four-sided triangle. In each case there is no task there to succeed or fail at. Inability to do the logically incoherent is not a shortfall in power, because power is measured against possible outcomes and there is no possible outcome in view.
• • It is worth adding what the classical view is denying and why. Some medieval voluntarists, and Descartes at moments, suggested God's will determines even the laws of logic, in which case the paradox bites. The mainstream tradition rejects that because logic is not an external constraint imposed on God but a reflection of God's own rational nature, and a God who could be irrational would be a God about whom nothing coherent could be said, including that he is good. So the theist is not shielding omnipotence from logic; he is denying that a rational God and an incoherent request ever meet.
• • Finally, note where the discussion goes when it is taken seriously. The stone puzzle appears in recognizable form in medieval discussions and was answered there, and the live modern work — Peter Geach's essay on omnipotence, Thomas Flint and Alfred Freddoso's analysis, Richard Swinburne's account — is about how to state omnipotence precisely enough to handle harder cases, such as whether God can do what is possible for others but not for a perfectly good being (sin, for instance). That is the productive version of the question, and it is worth moving the conversation there.

Christian counterresponse

The logical-possibility qualifier is not an ad hoc patch invented to dodge this puzzle; it follows from treating power as the capacity to actualize states of affairs, and states of affairs must be internally coherent to be actualizable at all. The same constraint is applied consistently across every other divine attribute in classical theology, not introduced only when convenient.