数学的本质是什么？

• What are the sources of mathematical subject matter?
  
• What is the ontological status of mathematical entities?
  
• 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?