Why is philosophy of value, on Russell's view?

What is Russell's distinction between appearance and reality?

Why does Russell reject idealism?

What justifies induction, in Russell's view?

What are universals? What is the nature of universals for Russell? How do we know about universals?

What is intuitive knowledge? Why should we believe in intuitive knowledge? How is it possible?

What is Russell's theory of truth and falsehood?

What does Russell think knowledge is?

What are the limits of philosophical knowledge for Russell?

Given these questions: what do you think of Russell's answers? Do you agree? Why or why not?