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 ...

 Scientific Truth is Truth Without Fear

Remember, then, that scientific thought is the guide of action; that the truth at which it arrives is not that which we can ideally contemplate without error, but that which we may act upon without fear; and you cannot fail to see that scientific thought is not an accompaniment of human progress, but human progress itself.

 Science Takes Us Beyond Our Experience

The aim of scientific thought, then, is to apply past experience to new circumstances; the instrument is an observed uniformity in the course of events. By the use of this instrument it gives us information transcending our experience, it enables us to infer things that we have not seen from things that we have seen; and the evidence for the truth of that information depends on our supposing that the uniformity holds good beyond our experience.

 Dissent as a Scientific Virtue

First, of course, comes independence, in observation and thence in thought. I once told an audience of school-children that the world would never change if they did not contradict their elders. J was chagrined to find next morning that this axiom outraged their parents. Yet it is the basis of the scientific method. A man must see, do and think things for himself, in the face of those who are sure that they have already been over all that ground. In science, there is no substitute for independ...

 The Light of Science Defines the Rights of Human Beings

All eyes are opened, or opening to the rights of man. The general spread of the light of science has already laid open to every view the palpable truth, that the mass of mankind has not been born ,with saddles on their backs, nor a favored few booted and spurred, ready to ride them legitimately, by the grace of god. These are grounds of hope for others.