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Addition is a function and so functions would be a more basic concept. But functions are sets and sets are a more basic concept. Thus we should study sets. Ev
by yequalsx 15y ago
Addition is a function and so functions would be a more basic concept. But functions are sets and sets are a more basic concept. Thus we should study sets. Everything comes from sets. Replace addition with sets and your first sentence would be closer to the truth.
I strongly disagree with your last paragraph though.
- derleth 15y agoAnd you can take sets as something built on top of categories (specifically, topoi), so category theory is more foundational than set theory. http://plato.stanford.edu/entries/category-theory/ http://plato.stanford.edu/entries/category-theory/ http://sakharov.net/foundation.html http://sakharov.net/foundation.html http://en.wikipedia.org/wiki/Topos http://en.wikipedia.org/wiki/Topos