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“Newton supposed that all matter attracted other matter inversely according to the square of the distance; and the hypothesis was found to account for the whole movements of the heavenly bodies; which all became verifications of what Newton supposed to be the law of the solar system. Adopt the hypothesis that Jesus was what He is represented, and the whole of the books and the history becomes a verification.”

“Therefore, a grotesque account of a period some thousands of years ago is taken seriously though it be built by piling special assumptions on special assumptions, ad hoc hypothesis [invented for a purpose] on ad hoc hypothesis, and tearing apart the fabric of science whenever it appears convenient. The result is a fantasia which is neither history nor science.”

“God is one among several hypotheses to account for the phenomena of human destiny, and it is now proving to be an inadequate hypothesis. To a great many people, including myself, this realization is a great relief, both intellectually and morally. It frees us to explore the real phenomena for which the God hypothesis seeks to account, to define them more accurately, and to work for a more satisfying set of concepts.”

“I am beginning to believe that nothing can ever be proved. These are honest hypotheses which take the facts into account: but I sense so definitely that they come from me, and that they are simply a way of unifying my own knowledge. Not a glimmer comes from Rollebon's side. Slow, lazy, sulky, the facts adapt themselves to the rigour of the order I wish to give them; but it remains outside of them. I have the feeling of doing a work of pure imagination.”

“Science is a magnificent force, but it is not a teacher of morals. It can perfect machinery, but it adds no moral restraints to protect society from the misuse of the machine. It can also build gigantic intellectual ships, but it constructs no moral rudders for the control of storm tossed human vessel. It not only fails to supply the spiritual element needed but some of its unproven hypotheses rob the ship of its compass and thus endangers its cargo.”

“The more experiences and experiments accumulate in the exploration of nature, the more precarious the theories become. But it is not always good to discard them immediately on this account. For every hypothesis which once was sound was useful for thinking of previous phenomena in the proper interrelations and for keeping them in context. We ought to set down contradictory experiences separately, until enough have accumulated to make building a new structure worthwhile.”

“Characteristically skeptical of the idea that living things would faithfully follow mathematical formulas, [Robert Harper] seized upon factors in corn which seemed to blend in the hybrid-rather than be represented by plus or minus signs, and put several seasons into throwing doubt upon the concept of immutable hypothetical units of inheritance concocted to account for selected results.”

“The question whether atoms exist or not... belongs rather to metaphysics. In chemistry we have only to decide whether the assumption of atoms is an hypothesis adapted to the explanation of chemical phenomena... whether a further development of the atomic hypothesis promises to advance our knowledge of the mechanism of chemical phenomena... I rather expect that we shall some day find, for what we now call atoms, a mathematico-mechanical explanation, which will render an account of atomic weight, of atomicity, and of numerous other properties of the so-called atoms.”

“Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.”

“The theory of the earth is the science which describes and explains changes that the terrestrial globe has undergone from its beginning until today, and which allows the prediction of those it shall undergo in the future. The only way to understand these changes and their causes is to study the present-day state of the globe in order to gradually reconstruct its earlier stages, and to develop probable hypotheses on its future state. Therefore, the present state of the earth is the only solid base on which the theory can rely.”