...properly regarded by the modern inductive school of logic as integrant parts of the science itself. " Why is a single instance, in some cases, sufficient...way towards establishing an universal proposition ? " asks Mr. Mill ; and he adds, that " Whoever can answer this question knows more of the philosophy...

...in all of them" (Hume, 1748/1955, p. 50). Mill (1843/1974), a century later, phrased the problem as: "Why is a single instance, in some cases, sufficient...presumed, go such a very little way towards establishing a universal proposition?" (p. 314). same as would be predicted by random sampling). Generalization...

...so certain of the truth of these and similar statements or axioms? Or as Sir JS Mill put the query "Why is a single instance, in some cases, sufficient...presumed, go such a very little way towards establishing a universal proposition ? ' ' Some believe that this intuitive conviction of the truth of certain statements...

...examined. This consideration throws light upon Mill's problem 'why, in some cases, a single instance is sufficient for a complete induction, while in others,...presumed, go such a very little way towards establishing a universal proposition.' Speaking in terms of mere number, intensional number is of much higher value...

...believing with assured confidence, that wherever men exist, their heads are not beneath their shoulders ? "Why is a single instance, in some cases, sufficient...myriads of concurring instances, without a single except! on known or presumed, go such a very little way towards establishing an universal proposition?...