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It not about historical order, it's about the order in which you need things to build upon mathematically.
by mikorym 7y ago
It not about historical order, it's about the order in which you need things to build upon mathematically.
- excursionist 7y agoYou don't need set theory for numbers, enumeration or arithmetic.
- mikorym 7y agoYou don't need it, but sets are more primitive than numbers. For example, the category of finite sets without an NNO [1] is simpler or more foundational than the set of natural numbers. At the same time, this category is actually a category of numbers. My point is that numbers are complicated by nature, but they are more intuitive for humans (mostly I think) than sets are. Sets are simpler or more basic, but often less intuitive for humans. [1] https://en.wikipedia.org/wiki/Natural_numbers_object https://en.wikipedia.org/wiki/Natural_numbers_object