We may distinguish two interpretations of the relation between Newton’s natural philosophy and Hume’s science of human nature. The first interpretation can be called ‘traditional,’ the second ‘critical.’ This article will not side with either readings of Hume’s Newtonianism (or with some middle positions). Instead, essential points of confluence and divergence will be discussed.

To provide metaphysical grounds for the physics of her time, Du Châtelet argued for the notion of an active force. This was different from the impressed force in Newton’s second law. The former force was a property of a body, whereas the latter was an external cause. I shall study this discrepancy and argue that the interactive concept of force in Newton’s third law is consistent with Du Châtelet’s standards for an intelligible physics. Consequently, the interaction entailed by the law (...) of universal gravitation complies with Du Châtelet’s principles of human knowledge. (shrink)