Abstract

In substantial ways, the strangest aspects of Leibniz's wild metaphysical architecture (monads and all that) lie grounded in his efforts to understand the "unreasonable effectiveness" of the mathematics utilized in the classical modeling of ordinary materials (of which we will adopt sword steel as a chief paradigm, for reasons to be explained later). In doing so, Leibniz proceeds in a more acutely reasoned fashion than does Eugene Wigner in the famously fuzzy article from which the phrase "unreasonable effectiveness" descends. There Wigner stirs up a blurry mysticism through the loose invocation of an heterogeneous set of examples. But "Explain all of this in one stroke, can you?"represents the usual rhetorical gambit of zealots urging us to abandon science for faith (although that was probably not Wigner's own intent')