The prevailing narrative in the history of science maintains that the ancient Greeks did not have a concept of a ‘law of nature’. This paper overturns that narrative and shows that some ancient Greek philosophers did have an idea of laws of nature and, moreover, they referred to them as ‘laws of nature’. This paper analyzes specific examples of laws of nature in texts by Plato, Aristotle, Philo of Alexandria, Nicomachus of Gerasa, and Galen. These examples emerged out of the (...) closely intertwined Platonic and Pythagorean traditions, and these philosophers’ texts make reference to laws of nature when describing arithmetical methods, arithmological doctrines, or medical theories. Nicomachus’ laws of nature are especially noteworthy, because they have features that historians look for in the search for the origin of the modern concept of laws of nature. Nicomachus’ laws of nature are mathematical, universal, and necessary. This paper raises the possibility that the ancient Platonic and Pythagorean traditions influenced the subsequent development of the idea of laws of nature in medieval and early modern Europe, including the conception of laws of nature deployed by Johannes Kepler and Isaac Newton. (shrink)

The paper argues that Roger Bacon adhered to a unique form of geometrical atomism, according to which elemental matter can be analysed into cubic (when at rest) or pyramidal (when in motion) portions. Bacon addressed geometrical atomism from the perspective of the Aristotelian review, using his interpretation of Aristotelian principles to render the theory plausible. He was mostly concerned with solving the contradiction between the angular shapes of the portions and the shape of the elemental spheres. His motivation for doing (...) so, I argue, was his conviction in the applicability of geometry onto natural philosophy, and his goal was to render matter capable of geometrical analysis. In this way, he was convinced, geometrical properties can be considered efficient causes of matter’s spatial formation and motion. (shrink)