Data vs. Mathesis. Contrasting Epistemologies in Some Mechanizations and Quantifications of Medicine

In this chapter I argue that the general category of 'iatromechanics' conceals different views about how mathematics and mathematical physics should be applied in medicine, and thereby about how physiology should be quantified and mathematized. Mechanism, quantification and mathematization are indeed different, albeit interrelated, notions, which overlap without ever coming to be identical, and all of which depend upon the overall epistemological debate over the method for finding truth in science. This chapter compares the epistemological thought of the Newtonians Archibald Pitcairne (1652-1713), James Keill (1673-1719) and the rationalists Yvo Gaukes (ca. 1660-1738) and Friedrich Hoffman (1660-1742). It contends that, still in the early eighteenth-century, contrasting understandings and uses of quantification in medicine related to different conceptions of the epistemological status of mathematics and its connection with experience especially. The chapter then focuses on how the experimental quantitative approach introduced in physiology by Santorio Santorio (1561-1636) is understood in these different scenarios. I argue that contrasting understandings and uses of quantification in medicine correspond not only to different conceptions about the epistemological status of mathematics, but also of its conjunction with experience.