Of Theories and Theorems
We will explore such questions as: What is "the scientific method"? How can we know anything beyond what we have experienced? What is a theoretical entity, like an electron? What is an explanation in science? What is mathematics about? How is mathematical knowledge acquired? What are mathematical objects, like natural numbers? What is a proof? How do we know which principles of reasoning are correct? What is an infinite collection? Why is mathematics so useful to science?