Abstract

The nature of concepts -- Generalizations as hierarchical -- Perceiving first-level causal connections -- Conceptualizing first-level causal connections -- The structure of inductive reasoning -- Galileo's kinematics -- Newton's optics -- The methods of difference and agreement -- Induction as inherent in conceptualization -- The birth of celestial physics -- Mathematics and causality -- The power of mathematics -- Proof of Kepler's theory -- The development of dynamics -- The discovery of universal gravitation -- Discovery is proof -- Chemical elements and atoms -- The kinetic theory of gases -- The unification of chemistry -- The method of proof -- Misapplying the inductive method -- Abandoning the inductive method -- Physics as inherently mathematical -- The science of philosophy -- An end-and a new beginning.