What are the sources of mathematical subject matter?

What does it mean to refer to a mathematical object?

What is the character of a mathematical proposition?

What is the relation between logic and mathematics?

What is the role of Hermeneutics in mathematics?

What kinds of inquiry play a role in mathematics?

What are the objectives of mathematical inquiry?

What gives mathematics its hold on experience?

What are the human traits behind mathematics?

What is mathematical beauty?

What is the source and nature of mathematical truth?

What is the relationship between the abstract world of mathematics and the material universe?