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I have a very simple question. Well its simple to state. Can you arrive at all the higher level mathematics with plain addition? Here's an example of what I mean. Can you calculate things like trigonometry and logarithms with just addition?

I ask this question because I've been following and participating in a debate which claims that you can achieve all the higher level mathematics functionality with just addition.

Myself, I fall on the side of basic addition can achieve all the higher level functions and I'm curious what a professional mathematicians would say.

Thank-you for any replies.