Mathematical proof is the heart of mathematics. It is what differentiates mathematics from other sciences. In mathematical proofs, we can show that a statement is true for all possible cases without showing all the cases. We can be certain that the sum of two even numbers is even without adding all the possible pairs.
For the liberal arts majors, the proofs below will be of great help to you, but I think the math majors are going to appreciate them more. » Read more