Mathematical Proof vs. Scientific Proof: Are They the Same?

Absolute proof is strictly the domain of logicians. In mathematics, for example, once a theorem is proven it is proven for all time and all circumstances. Mathematical proof is absolute. Mathematics, however, is not science. This is a point about which many are confused. Mathematics is a language used by science, but is not itself a science. Mathematical proof and scientific proof are not the same thing at all. Scientific proof is not really proof at all, in the mathematical sense, but is either verification or disproof. Since scientists deal with a universe that is not of their own creation, they cannot prove their laws absolutely as can mathematicians. Although scientists use the term “scientific proof,” what they really mean is that a particular hypothesis has been verified or disproved. They don’t mean “proof” in the mathematical sense.