Misconceptions about the nature and practice of science abound and are sometimes even held by otherwise respectable practicing scientists themselves. I have dispelled some of them (misconceptions, not scientists) in earlier posts (for example, that beauty is in the eye of the beholder, beauty is only skin-deep, and you can’t judge a book by its cover).

Unfortunately, there are many other misconceptions about science. One of the most common misconceptions concerns the so-called “scientific proofs.” Contrary to popular belief, there is no such thing as a scientific proof.

Proofs exist only in mathematics and logic, not in science. Mathematics and logic are both closed, self-contained systems of propositions, whereas science is empirical and deals with nature as it exists. The primary criterion and standard of evaluation of scientific theory is evidence, not proof. All else equal (such as internal logical consistency and parsimony), scientists prefer theories for which there is more and better evidence to theories for which there is less and worse evidence. Proofs are not the currency of science.

Proofs have two features that do not exist in science: They are final, and they are binary. Once a theorem is proven, it will forever be true and there will be nothing in the future that will threaten its status as a proven theorem (unless a flaw is discovered in the proof). Apart from the discovery of an error, a proven theorem will forever and always be a proven theorem.

In contrast, all scientific knowledge is tentative and provisional, and nothing is final. There is no such thing as final proven knowledge in science. The currently accepted theory of a phenomenon is simply the best explanation for it among all available alternatives. Its status as the accepted theory is contingent on what other theories are available and might suddenly change tomorrow if there appears a better theory or new evidence that might challenge the accepted theory. No knowledge or theory (which embodies scientific knowledge) is final. That, by the way, is why science is so much fun.

Further, proofs, like , are binary; a mathematical proposition is either proven (in which case it becomes a theorem) or not (in which case, it remains a conjecture until it is proven). There is nothing in between. A theorem cannot be kind of proven or almost proven. These are the same as unproven.

In contrast, there is no such binary evaluation of scientific theories. Scientific theories are neither absolutely false nor absolutely true. They are always somewhere in between. Some theories are better, more credible, and more accepted than others. There is always more, more credible, and better evidence for some theories than others. It is a matter of more or less, not either/or. For example, experimental evidence is better and more credible than correlational evidence, but even the former cannot prove a theory; it only provides very strong evidence for the theory and against its alternatives.

The knowledge that there is no such thing as a scientific proof should give you a very easy way to tell real scientists from hacks and wannabes. Real scientists never use the words “scientific proofs,” because they know no such thing exists. Anyone who uses the words “proof,” “prove,” and “proven” in their discussion of science is not a real scientist.

The creationists and other critics of evolution are absolutely correct when they point out that evolution is “just a theory” and it is not “proven.” What they neglect to mention is that everything in science is just a theory and is never proven. Unlike the Prime Number Theorem, which will absolutely and forever be true, it is still possible, albeit very, very, very, very, very unlikely, that the theory of evolution by natural and sexual selection may one day turn out to be false. But then again, it is also possible, albeit very, very, very, very, very unlikely, that monkeys will fly out of my ass tomorrow. In my judgment, both events are about equally likely.