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Isaac Asimov

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Q. You do not consider your statement a disloyal one?
A. No, sir. Scientific truth is beyond loyalty and disloyalty.
Q. You are sure that your statement represents scientific truth?
A. I am.
--
Part I, The Psychohistorians, section 6

 
Isaac Asimov

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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.

 
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There is a need for what [Michael] Polanyi calls the critique of doubt. When we undertake to doubt any statement, we do so on the basis of beliefs which--in the act of doubting--we do not doubt. I can only doubt the truth of a statement on the ground of other things--usually a great many things--which I believe to be true. It is impossible at the same time to doubt both the statement, and the beliefs on the basis of which the statement is doubted.

 
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