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Going along with the other two helpful comments, take for example math that C. F. Gauss deemed to be the "Queen of Sciences", i.e the basis of it all. Math as
by gtycomb 8y ago
Going along with the other two helpful comments, take for example math that C. F. Gauss deemed to be the "Queen of Sciences", i.e the basis of it all. Math as we know it comes to us through counting with numbers. What are numbers? We find that mathematicans rely on set theory as a foundation of numbers. What are sets? They use set theory to study numbers either through Zermolo-Farenkel set theory or the Neumann-Bernays-Godel set theory. You see what we are getting into -- we cannot depend on just one set theory foundation to explain numbers conclusively. We see two strands of set theory that stay separate. Philosophy poses questions beyond what mathemticians get into: Will there be numbers if the whole universe is just empty space with no "things" in it including human minds? Are numbers so fundamental that they have to exist?