requesting a book recommendation

Would anyone here be willing to recommend me a decent book on different philosophies of mathematics (eg formalism, intuitionism, etc)?  I've been searching amazon and I'm having a difficult time distinguishing what's worth the purchase.  I'm looking for something relatively rigorous in its details.

I have some background in predicate calculus (mathematical logic - I've read through the proofs of Gödel's theorems and briefly touched on second-order logic), set theory (I'm familiar with ZFC as well as basic ordinal and cardinal arithmetic), and a tiny bit of category theory (products, equalizers, duality, etc).  I wouldn't mind reading something that reviews those things, as long as the main subject is the philosophy and it's aimed at someone with an undergraduate background in math.

Thanks to anyone who bothered to read this.

>>5
>>6
it's simple...if you don't know...find out. Look for information that leads to what this is. Even if the information reveals something entirely different, at least you found the answers you were looking for instead of living the rest of your lives not really knowing what I'm talking about.

How am I supposed to tell you guys that mathematics is flawed because humans are flawed? We have to use something like Pi in order to find out dimensions of a circle. This "patch" in mathematics is used in order to bi-pass a fundamental missing-link in mathematics which is the closest thing we have to what could be considered a working equation; πr^2.

If you want to know what profession deals with problems in mathematics, you are looking for a Chaotician. Chaos Theory, deals with the smallest matters that create the greatest errors. There is a hypothesis that our numbering system is fundamentally flawed which is what gives us these errors. The larger the problem, the solution becomes further from the truth.

Of course this is something you haven't generally heard of, what person in their right mind wants to destabilize a system that has been used over and over by many different fields of study and practice? It would be tantamount to overthrowing the traditions of religion as a WHOLE. Nobody would be spared.