In this course we’ll retrace the steps of mathematicians, philosophers and scientists in their investigation of knowledge and human reasoning. We’ll explore questions such as “What is knowledge and how can we acquire it?” and “What makes particular kinds of reasoning “good” or “bad”?”. These questions will be discussed with reference to the works of Aristotle, Euclid, Descartes, Newton, Bayes, Hume, Kant and Frege. Throughout the course we’ll see that philosophy is intimately connected with mathematics and science.
The full syllabus is available here.
Sample Lecture Slides
Sample lecture slides on proofs are available here.
Sample lecture slides on Locke are available here.