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The supreme maxim in scientific philosophising is this: wherever possible, logical constructions are to be substituted for inferred entities.
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Quoted in Hawes The Logic of Contemporary English Realism (1923), p. 110; cf. Ockham's maxim: entia non sunt multiplicanda praeter necessitatem.

 

Bertrand Russell

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There is a great directing head of people and things — a Supreme Being who looks after the destinies of the world.
I am convinced that the body is made up of entities that are intelligent and are directed by this Higher Power. When one cuts his finger, I believe it is the intelligence of these entities which heals the wound. When one is sick, it is the intelligence of these entities which brings convalescence. You know that there are living cells in the body so tiny that the microscope cannot find them at all. The entities that give life and soul to the human body are finer still and lie infinitely beyond the reach of our finest scientific instruments. When these entities leave the body, the body is like a ship without a rudder — deserted, motionless and dead.

 

Thomas Alva Edison

 

The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them. In this methodological uncertainty, one might suppose that there were any number of possible systems of theoretical physics all equally well justified; and this opinion is no doubt correct, theoretically. But the development of physics has shown that at any given moment, out of all conceivable constructions, a single one has always proved itself decidedly superior to all the rest.

 

Albert Einstein

 

A principle of induction would be a statement with the help of which we could put inductive inferences into a logically acceptable form. In the eyes of the upholders of inductive logic, a principle of induction is of supreme importance for scientific method: "... this principle", says Reichenbach, "determines the truth of scientific theories. To eliminate it from science would mean nothing less than to deprive science of the power to decide the truth or falsity of its theories. Without it, clearly, science would no longer have the right to distinguish its theories from the fanciful and arbitrary creations of the poet's mind."
Now this principle of induction cannot be a purely logical truth like a tautology or an analytic statement. Indeed, if there were such a thing as a purely logical principle of induction, there would be no problem of induction; for in this case, all inductive inferences would have to be regarded as purely logical or tautological transformations, just like inferences in inductive logic. Thus the principle of induction must be a synthetic statement; that is, a statement whose negation is not self-contradictory but logically possible. So the question arises why such a principle should be accepted at all, and how we can justify its acceptance on rational grounds.

 

Karl Popper

 

The application of scientific formulations of the principle of probability statistically determined is thus a logical corollary of the principle already stated, that the subject matter of scientific findings is relational, not individual. It is for this reason that it is safe to predict the ultimate triumph of the statistical doctrine.

 

John Dewey

 

Men follow their sentiments and their self-interest, but it pleases them to imagine that they follow reason. And so they look for, and always find, some theory which, a posteriori, makes their actions appear to be logical. If that theory could be demolished scientifically, the only result would be that another theory would be substituted for the first one, and for the same purpose.

 

Vilfredo Pareto