Among the most valuable conditions in life is health. Its pursuit is a perennial human endeavor becoming even more deliberate once disease intrudes. Accordingly, the traditional goals of medicine have been to prevent illness and to restore the sick to normal function. The notion of health also has a second meaning which arises from the freedom and imperfection of human nature. The World Health Organization defines health to be “a state of complete physical, mental and social well-being and not merely the absence of disease or infirmity.” At the center of the ethical debate over enhancement is the question whether health should consist of proper functioning within existing norms or whether the patient should be free to determine his or her own individual definition of complete well-being within the framework of personal choices regarding one’s identity and purpose. The desire to be more than well, to exceed existing human capacities beyond what is normal in degree or kind, and to discover a form of health beyond health is a powerfully alluring prospect. Would a new medicine that pursued apparently limitless enhancements truly satisfy, or might it disappoint? In a world of limited medical resources, might the provision of high tech superhealth for the few come at the cost of medical neglect for others? Might the quest to surpass the limitations of human nature, if successful, result in an elite class perceived as leaving normal humanity behind? As innovations in biotechnology increasingly enable the leap to superhealth, wisdom bids us to look before we leap. If, as G. K. Chesterton observed, “The mere pursuit of health always leads to something unhealthy,” then the quest for biotechnical enhancement might lead not to superhealth but instead to an insuperable quandary.