George Moore is a professor of ethics; Dotty Moore is his former student, his wife, a musical star, and a logical positivist. The play begins absurdly: Dotty is singing, gymnasts are somersaulting around her (the so-called "jumpers"), and George is preparing a lecture on the existence of God. His central question is, "Are God?" (which sort of makes sense once you hear his reasoning around it). It is hard—especially reading the play, rather than watching it—to know what is happening. There is a body slumped on the ground. There is a secretary swinging in and out of view on a pendulum. The moon-landing is blaring on TV. The Radical Liberal spokesman for Agriculture has been appointed the Archbishop of Canterbury. In all this, George, so focused on fine-tuning his disquisition, seems oblivious—the typical distracted professor. He barely notices the show around him, he doesn't notice the dead body, he has a pet tortoise and a pet rabbit and wants to test out Zeno's paradox so much that the police detective strolling around his apartment barely captures his attention. His goal is "to set British moral philosophy back forty years." He delights in obfuscation and confusion.
Who are the jumpers in the background? George tells the detective simply: "logical positivists, with a linguistic analyst or two, a couple of Benthamite Unitarians...lapsed Kantians and empiricists generally...and of course the usual Behaviorists." They are, ironically, the sort of philosophers who do not "jump" to conclusions; they do not believe in aesthetic or moral categories, they do not believe in metaphysical realities that cannot be verified (or falsified). So in a comic turn of events, George is the one who wants to "jump to conclusions", who wants to prove the existence of God, or the truth of moral precepts and universals like good and bad and beautiful, relying on sinuous syllogisms. Yet his obsession with language, logic and truth, ultimately makes him a poor interpreter of reality. He cannot identify a corpse; he cannot distinguish a cry for attention from a cry for help; when he sees the Vice-Chancellor subjecting Dotty—nude—to a "dermatographic test," an exam which is purportedly meant to identify emotional disturbances under her skin, he is not sure whether this is legitimate science or a pretext for sexual infidelity.
The rationalist, the positivist, the empiricist, might say that there are no statements about the divine or about morality that are meaningful. If words do not refer to things that can exist in the world, then sentences using them cannot be verified or falsified and have no truth value. But George's obsession with metaphysics divorces him—and his fellow metaphysicians—from reality, rendering them incomprehensible to others. Their grammar devolves and their understanding of words warps, and George's ethical a priori gets confused with real-world ethical priorities. When he tells the detective that a man that Dotty is eating the corpse, he is not so much aggrieved by her cannibalism as by the suggestion that she is eating the body raw. He doesn't seem to feel offended at the moral evil here but at any breach in etiquette.
It's ultimately not my favorite Stoppard play but I enjoyed the silly humor and absurdity of it.