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Set theory, as well as being a subject in its own right, is a convenient language in which most of mathematics can be expressed. English, as well as being a subject in its own right, is also a convenient language in which most of mathematics can be expressed, but nobody would ask "Why isn't English taught at the outset of math education?" When ...


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Note that set theory when used to present ideas in mathematics makes the work of reading and intuitively verifying these harder. Several "such thats" or "conditions thats" in any work may well enable and inform the work of subsequent metamathematics , but intuitions are needed to make maths intelligeable and applicable rather than ...


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