cheese is good

Suppose I've been going to community college for two years and now I am going to university. Now suppose I'm going to major in mathematics (pure). Money is a problem (no ivy league universities for me). What is the best college for mathematics with concern for my financial constraints?

I found this headache on Proofwiki (my virtual haunt).

x = 1+1+1+...+1 (x times)

x^2 = x+x+x+...+x (x times)

2x = 1+1+1+...+1 (x times)

2x = x

2 = 1 (ummmm... no)

This is much more difficult cousin of the more common "proof" that uses division by zero errors.

This is not a school thing so don't be afraid to hold back for the sake of learning or anything.

Can we prove "Integer + Integer = Integer" be proven thru "Rational + Rational = Rational" i.e.

(Rational + Rational = Rational) <==> (Integer + Integer = Integer)?

How does one find that the derivative of the natural logarithm of a variable is the reciprocal of that variable (i.e d/dx ln(x)=1/x)?

I'm applying for a mission trip and and it asks for references and i'm not sure who I should reference?

Would a close friend as in spiritually close or what? I don't know.

people such as the Greeks, The Egyptians, Phoenicians, or even the people of Mesopotamia?

I am starting this new club at my school for talking about deep things (aka philosophy) and such ( i don't want to go into it). There is no way we can do it on campus so where should we go?

p.s. This is high school. Okay

It's a hard one so high smartness is a necessity

Verify: 1+csc(-x)/cos(-x)+cot(-x)=sec(x)