the actual prevalence of infection among travelers drops to 0.1 percent, a more realistic fraction, then the chance of a positive test being real drops to a staggering 2 percent. In other words, 98 percent of tests will be false, and our efforts will be overwhelmed trying to hunt for the two cases that are real out of a hundred.
Canât we devise tests of such accuracy and consistency that we can escape the dismal mathematical orbit of Bayesâs theorem? What if we could decrease the false-positive rate to such a low number that we would no longer need to bother with prior probabilities? The âscreen everyone for everythingâ approachâDr. McCoyâs handheld all-body scanner in Star Trek âworks if we have infinite resources and absolutely perfect tests, but it begins to fail when resources and time are finite. Perhaps in the future we can imagine a doctor who doesnât have to take a careful history, feel the contours of your pulse, ask questions about your ancestors, inquire about your recent trip to a new planetary system, or watch the rhythm of your gait as you walk out of the office. Perhaps all the uncertain, unquantifiable, inchoate priorsâinferences, as Iâve called them looselyâwill become obsolete. But by then, medicine will have changed. We will be orbiting some new world, and weâll have to learn new laws for medicine.
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LAW TWO
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âNormalsâ teach us rules; âoutliersâ teach us laws.
T ycho Brahe was the most famous astronomer of his time. Born to a wealthy family in Scania, Denmark (now a part of Sweden), in 1546, Brahe became keenly interested in astronomy as a young man and soon began a systematic study of the motion of planets. His key discoveryâthat the stars were not âtailless cometsâ that had been pinned to an invisible canopy in the heavens, but were massive bodies radiating light from vast distances in spaceâshot him to instant fame. Granted an enormous, windswept island estate on the Ãresund strait by the king, Brahe launched the construction of a gigantic observatory to understand the organization of the cosmos.
In Braheâs time, the most widely accepted view of the universe was one that had been proposed centuries earlier by the Greek astronomer Ptolemy: the earth sat at the center of the solar system, and the planets, sun, and moon revolved around it. Ptolemyâs theory satisfied the ancient human desire to sit at the center of the solar system, but it could not explain the observed motion of the planets and the moon using simple orbits. To explain those movements, Ptolemy had to resort to bizarrely convoluted orbital paths, in which some planets circled the earth, but also moved in smaller âepicyclesâ around themselves, like spinning dervishes that traced chains of rings around a central ring. The model was riddled with contradictions and exceptionsâbut there was nothing better. In 1512, an eccentric Prussian polymath named Nicolaus Copernicus published a rough pamphlet claimingâhereticallyâthat the sun sat at the center of the planets, and the earth revolved around it. But evenCopernicusâs model could not explain the movements of the planets. His orbits were strictly circularâand the predicted positions of the planets deviated so far from the observed positions that it was easy to write it all off as nonsense.
Brahe recognized the powerful features of Copernicusâs modelâit simplified many of Ptolemyâs problemsâbut he still could not bring himself to believe it (the earth is a âhulking, lazy body, unfit for motion,â he wrote). Instead, in an attempt to make the best of both cosmological worlds, Brahe proposed a hybrid model of the universe, with the earth still at the center and the sun moving around itâbut with the other planets revolving around the sun.
Braheâs model was spectacular. His strength as a cosmologist was