This lecture discusses the 16th century philosopher Rene Descartes' work The Discourse on Method, and focuses on his evaluation in book 1 of the academic subjects that he studied, and their capacities to provide us with genuine knowledge. He considers languages, history, literature, poetry, rhetoric, theology, philosophy, and mathematics.

The only subject in which he is able to find certain and incontrovertible proofs - agreement among its practitioners - is mathematics. Philosophy up to his time - in Descartes' view - cannot provide proper foundations for the other disciplines, because philosophers disagree with each other and their principles.

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