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I recently skimmed through a book called the Structure of Theory. It's a book about what kinds of theories exist.

I would like to learn more about this. What books and websites can you guys recommend?

I would prefer a resource with specific examples of what kinds of theories exist in various fields (my background is mathematics, business and physics, but primarily mathematics).

I would like to learn about their assumptions, but also the logic and mathematics of those theories. Of course, I am not asking for a deep understanding of every scientific field.