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Now I am very close to finishing a degree with philosophy and language and the greatest regret I have is my knowledge of mathematics. Very early in my college career after taking propositional logic and first order logic I realized how much I loved playing with these formal languages. An enjoyment that seems much more pure than constructing anything with a natural language. Not to long ago I was speaking to someone about my math history and he laughed replying 'math is not about computation'.

Every time I walk into a classroom and see a chalkboard covered from side to side with some sort of problem from the higher level math classes I realize they are not dealing with numbers but with ideas. And I am damned upset that I do not know how to use their language!

I have a lot of free time this fall and want to rebuild my math foundation from the ground up. I am certain I have a good deal of the logical and language background to help me along the way but I am not sure how to start. Having never stepped foot in a Calculus class I need to revisit everything from trig to algebra! Does anyone have any advice or should I just let this peaked interest go because it is too late?