It's not logic, It's intuition.

The mass public refer to someone who is good at math as "logical", that math is a "logical subject."  I think this stereotype should be broken once and for all, from doing proofs in the past week for assignment 2 and doing the homework, it is clear to me that math is creativity, it is intuition, to have the instincts to see how a math statement can be manipulated from antecedent to conclusion.  It is not just logic that is guiding the process, for, how can anyone, say that they" logically" arrived at the delta for a delta-epsilon proof for the limit of the function sin(x)/x as x approaches 0, such that the resulting limit is 0?  Or how can anyone prove that there are an infinite number of prime numbers using logic? As we have all seen in class -- the proof was a proof by contradiction,  reducing the alternate assumption "there are finite prime numbers" to absurdity.  I was lucky, from having experience with doing proofs in MAT137, I had already obtained a toolbox of strategies and techniques I can employ doing proofs, but some of my classmates may struggle, especially with delta epsilon proofs.  So I say to my classmates that this set-back is not because of logic, don't worry, what all of us are really lacking is intuition.