The podcast begins by comparing Descartes' Meditations to Hamlet for its literary artistry, then explains his skeptical method of using radical doubt to achieve certainty, culminating in the cogito argument. It covers his earlier works outlining analysis and synthesis, using intuition to grasp clear and distinct principles. The discussion contrasts clear ideas like a triangle with unclear ones like coldness, and applies his method to natural philosophy using analogies of light and a tennis ball to explain mechanistic explanations. Scholarly interpretations question whether Descartes' radical doubt was genuine or a response to earlier skeptics like Montaigne. The episode explains how Descartes distinguishes moral certainty from absolute certainty, using metaphors like rebuilding a house. The cogito is presented as an indubitable intuition, not a syllogism, but its certainty only holds at the moment of thinking. To build a foundation for science, Descartes must prove a good God exists using ontological and causal arguments. However, this reliance on God ironically boosts skepticism because his proofs are weak, leading many to find his rebuilding of knowledge less convincing than his skepticism.