@Pyrrho,
Tony;132039 wrote:ahhhh, next question lol.
Why isn't there a Philosophy of Mathematics forum?! I'm wanting to learn more about this field, and even ordered Principia Mathematica recently, and everywhere I look there's no such thread! :[
Like Mister Kitten said, the philosophy of mathematics is usually filed in the logic section. Principa Mathematica is definitely an interesting read, although I would recommend basic propositional and predicate logic books first (unless you are already familiar with those formal systems of logic). There is both a propositional logic thread series (well, a good portion of one at any rate) and a few members with intimate knowledge of the skill still active on the forum. If you are just getting into the logic, you may like two books. The first is
Logic: Key Concepts in Philosophy by Goldstein et al. It is a book in the Continuum series which is very good for a brief and concise read. It goes over basic concepts with application to everyday philosophy without getting too technical. And on the technical front, if you want to start learning the systems themselves, I have actually found the Schaum's outline's on logic good. I learned propositional and predicate from
Many worlds of Logic by Herrick at school. Equally good and well structured, but if it is a passing interest, definitely pick up the continuum book.
There is a more technical
mathematical part of logic, like number theory, probability calculus, etc. Probability calculus has been especially valuable in everyday applications applying predicate/categorical/inductive systems with a mathematics going into level II mathematical calculus. If this is what you are interested in, you would definitely appreciate the Schaum outline logic book (not the recent edition, but the older, larger edition). They cut down the newest edition and got rid of a lot of the sample problems essential to learning the skill.
But usually, most philosophy majors have to take at least the first part of propositional logic, so you may be familiar with this already, so what has been said is just a suggestion.
Also, if you are looking for a brain buster to start out with as far as logic is concerned, go for
Godel Escher Bach: An Eternal Golden Braid by Hofstadter. This book will make you question the health of your brain cells. I am almost at the close of year one and I haven't even gotten past the third chapter. There is this neat online course from MIT that said in the introduction that it should take around seven years to really go through it and understand the material (and I know absolutely nothing about music and little about art, yet a little more about literature (uses Lewis Carrol a lot as a outside reference for material)). It would be neat though to start a thread on the MU game.