The Rate of Change of a Rate of Change

In scientific thought we adopt the simplest theory which will explain all the facts under consideration and enable us to predict new facts of the same kind. The catch in this criterion lies in the word 'simplest'. It is really an aesthetic canon such as we find implicit in our criticisms of poetry or painting. The layman finds such a law as dx/dt = K(d^2x/dy^2) much less simple than 'it oozes', of which it is the mathematical statement. The physicist reverses this judgment, and his statement ...

 Karl Popper's Conclusions About Good Theories

It is easy to obtain confirmations, or verifications, for nearly every theory — if we look for confirmations.     Confirmations should count only if they are the result of risky predictions; that is to say, if, unenlightened by the theory in question, we should have expected an event which was incompatible with the theory — an event which would have refuted the theory.     Every "good" scientific theory is a prohibition: it forbids certain things to happen. The more a theory forb...