Abstract

early modern philosophers commonly appeal to a mathematical method to demonstrate their philosophical claims. Since such claims are not always followed by what we would recognize as mathematical proofs, they are often dismissed as mere rhetoric. René Descartes, Thomas Hobbes, and Benedict de Spinoza are perhaps the most well-known early modern philosophers who fall into this category. It is a matter of dispute whether the ordo geometricus amounts to more than a method of presentation in Spinoza’s philosophy. Descartes and Hobbes clearly appeal to a method of discovery modeled after geometry, but neither employs it to develop a heavily quantitative physics. Whereas Descartes’s version of the geometrical method ..