1. For Descartes, how can I demonstrate various properties of a thousand-sided figure (a chiliagon) without ever having seen one (or even without one ever having existed)?
2. Why is the distinction between essence and existence important in proving God exists?
3. How can material/corporeal (later: "external") objects be known clearly and distinctly?
4. How does Descartes distinguish between imagination and intellection in mathematical reasoning?
5. What does Descartes mean by saying that imagination and feeling are distinct from him "as its modes are from a thing"?
6. Why does his having sensible ideas of perception suggest, for Descartes, that there is a power or "faculty" in his body that accounts for his having those ideas?
7. What does it mean to say that this corporeal faculty "resides in some substance different from me in which all the reality which is objectively in the ideas that are produced by this faculty is formally or eminently contained"?
8. What are the three possible sources of our ideas of sensible things, and how does Descartes rule out two of them in favor of the third?
9. What are Descartes' three ways of speaking about nature? How is the third way important for understanding the "very intimate" connection between the mind and body?
10. How does our experience of the association of heat or pain with fire depend on nature?
11. How is the mind-body composite sometimes a source of deception?
12. How are we able to distinguish between dreaming and being awake?