William Fontaine’s (Forgotten) Kantian Analysis of Ernest Everett Just’s Mathematical Biology

The African-American philosopher William Fontaine (1909-1968) inaugurated a neo-Kantian philosophical analysis of the original biological theories of fellow African-American Ernest Everett Just (1883-1941), and his thesis regarding the “space-time” structure of biological systems deserves our renewed consideration today. First comparing Just’s methodology in his 1939 text <i>Biology of the Cell Surface</i> to Immanuel Kant’s <i>Critique of Pure Reason</i> (1781/1787), Fontaine then suggested a parallel reading of Just’s irreducible theory of cellular structure to Samuel Alexander’s (1859-1938) Gifford Lectures of 1920 on the metaphysical possibility of non-Euclidean or multidimensional space-time — Along these lines, Just had written of life’s constituents, because “assembled both in space and time, its investigation is limited”. Since Kant was well-known and also later criticized for his logical commitments to three-dimensional Euclidean space-time, it is clear that Fontaine’s reading of Just’s statements departed from traditional Kantian philosophy. However, since Just’s <i>Biology of the Cell Surface</i> emphasized the whole-part relation of living organisms as well the distinction between reductionistic mechanism and emergent theories — metaphysical views that Kant also expounded — Fontaine’s analysis charted a new route for bringing Kantian philosophy into the context of contemporary theories of non-Euclidean and higher-dimensional space-time. This paper first reviews the original contributions of Ernest Everett Just to biology as well as William Fontaine’s philosophical commentary upon them, and then considers the current scientific basis for non-Euclidean and higher-dimensional geometries in the biological sciences.