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Until the seventeenth century there was no concept of evidence with which to pose the problem of induction!
--
Chapter 4, Evidence, p. 31

 

Ian Hacking

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The problem of induction is, roughly speaking, the problem of finding a way to prove that certain empirical generalizations which are derived from past experience will hold good also in the future. There are only two ways of approaching this problem on the assumption that it is a genuine problem, and it is easy to see that neither of them can lead to its solution.

 

Alfred Jules Ayer

 

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

 

For four hundred years the human race has not made a step but what has left its plain vestige behind. We enter now upon great centuries. The sixteenth century will be known as the age of painters, the seventeenth will be termed the age of writers, the eighteenth the age of philosophers, the nineteenth the age of apostles and prophets. To satisfy the nineteenth century, it is necessary to be the painter of the sixteenth, the writer of the seventeenth, the philosopher of the eighteenth; and it is also necessary, like Louis Blane, to have the innate and holy love of humanity which constitutes an apostolate, and opens up a prophetic vista into the future. In the twentieth century war will be dead, the scaffold will be dead, animosity will be dead, royalty will be dead, and dogmas will be dead; but Man will live. For all there will be but one country—that country the whole earth; for all there will be but one hope—that hope the whole heaven.

 

Victor Hugo

 

When any good attitude or concept or system worked well, we hung onto it. We preserved representative democracy, intended for a time when only a few could get to the capital to speak for the many. Modern finance was designed in the 17th century. Literacy as a test of intelligence came in the 15th century. The idea of progress is 19th century. And yet, all of those things are part of our mental furniture today, because when the answer to a question -- a solution to a problem -- suits us, we kind of institutionalize it, so that it won't change even when we do. The business of questioning, itself, has been institutionalized like that, in the kind of place that Jodrell Bank telescope belongs to: a university.

 

James (science historian) Burke

 

Finding a mechanism does not bypass the problem of induction.

 

Simon Blackburn