Why do math and science work so well together? Are they really different? How do math and science evolve together? What makes a theory "scientific"? Are theoretical scientists better at philosophy than philosophers?
2. What is Mathematics?
What is mathematics, exactly? How is mathematics related to "truth"? Why is math so good at science? What is the relationship between science and math, exactly? What else is math useful for? Is math merely a language? Can mathematics be, in a sense, poetic?
1. What is Science?
How does science work, exactly? What are the philosophical foundations of science? Is there even such thing as a scientific method? If so, what can science help explain and what can it not explain? Can science say anything about, say, love?