WEEK # | TOPICS | KEY DATES |
---|---|---|
1 | Introduction | |
I. Knowing | ||
2 |
A. Logos as Definition: What is "What is?" B. Knowledge as Power / Knowledge as Virtue | |
3 |
C. Definition and the Essence of Things D. The Idea of a Proof | |
II. Logos and Arithmos | ||
4 |
Quality, Quantity, Relation, Multitude, Magnitude, Logos as Ratio The Greek Conception of Number (What's Not a Number?) | |
III. Measuring the Unmeasurable | ||
5 | A. Putting the Irrational in Ratio | |
6 | B. Fitting Ideas to the World | First Paper Due |
7 | C. The Pursuit of Truth and the Idea of an Idea | |
8 & 9 | D. The Truth as a Surd | Re-write Due |
10 | E. Potentiality as a Way of Being | |
IV. The Limits of Mathematics? | ||
11 | Aristotle's Nicomachean Ethics | |
12 | Aristotle's Nicomachean Ethics (cont.) | |
V. The Modern Conception of Number and the Detachment from Reality | ||
13 | Isaac Newton's Arithmetica Universalis | |
14 |
"The World of Physics and the 'Natural World" "The Sources of Modern Symbolic Mathematics" | Second Paper Due |