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{{g}}{{verification and falsification}} | {{g}} | ||
{{author|Karl Popper}}’s idea that, since the only way to rule out a scientific theory is with evidence that contradicts its predictions, it is a necessary condition of a bona fide scientific theory that it must be, in theory falsifi''able''. There must be evidence you ''could'' present that, if you could find it, ''would'' falsify the theory. | |||
It that isn’t possible, even in theory, then the theory is consistent with all possible facts, does not limit any possible outcomes, makes no predictions, and is not science. | |||
Mathematical axioms, for example, can’t be falsified. There are no possible circumstances, at least within the [[paradiugm]] of Euclidian geometry, in which 2 +2 ≠ 4. | |||
Therefore the mathematical statement 2 +2 = 4 is not scientific. This isn’t as controversial as it might seem if you have never heard it before and it has just slapped you in the face. How can mathematics — the very language of science — not be scientific? But that is the key to it: it is a language in which falsifiable scientific statements may be made; its own internal logic is not, of itself, a matter of science 2 + 2 = 4 is ''logically'' true, not ''empirically'' true. You don’t need evidence to prove it. | |||
Far more controversial is the contention that [[evolution by natural selection]], for exactly the same reason, isn’t scientific either. | |||
{{verification and falsification}} | |||
{{sa}} | {{sa}} | ||
*{{br|The Structure of Scientific Revolutions}} | *{{br|The Structure of Scientific Revolutions}} | ||