...induktiven Wissenschaften hat J. ST. MILL die Frage wieder aufgeworfen, die HUME nur gestreift hatte. „Why is a single instance in some cases sufficient for a complete iuduction, while in others myriads of coucurriug instauces without a single exception known or presumed...

...caught and examined a crow, and had found it to be gray." What is the explanation of this difference ? " Why is a single instance in some cases sufficient...presumed, go such a very little way towards establishing a universal proposition ? " The solution is to be sought in the extreme complexity of the conditions...

...487 n. 2, 505 n. 2. CHAPTER XIX OF THE PRESUPPOSITIONS OF INDUCTIVE REASONING: THE LAW OF CAUSATION 'WHY is a single instance, in some cases, sufficient...way towards establishing an universal proposition ? Whoever can answer this question knows more of the philosophy of logic than the wisest of the ancients,...

...argument ? If so, for what purpose ? 2. "A single instance in some cases is sufficient for a complete 15 induction, while, in others, myriads of concurring instances without a single exception go a very little way towards establishing a universal proposition : ' ' give full illustrations of...

...illuminations down the chasms of a past eternity. And is not here the answer to Mr. Mill's earnest inquiry : " Why is a single instance in some cases sufficient...without a single exception, known or presumed, go so little way toward establishing a universal proposition ?" The difference in the cases is that the...

...a single instance, in some cases, sufficient for a complete induction [the bridging of the ' if '], while in others myriads of concurring instances, without...exception known or presumed, go such a very little way toward establishing an universal proposition ? Whoever can answer this question knows more of the philosophy...

...confessed, with a candour that will eternally attest the rare temper of his mind. For " Why," asks Mill, " is a single instance, in some cases, sufficient for a complete induction [the bridging of the ' if '], while in others myriads of concurring instances, without a single exception...

...caught and examined a crow, and had found it to be gray." What is the explanation of this difference ? " Why is a single instance in some cases sufficient...presumed, go such a very little way towards establishing a universal proposition ? " The solution is to be sought in the extreme complexity of the conditions...

...examinecOThis 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...

...generalizing tendency of the mind. The problem of induction is why a single instance in some cases is "sufficient for a complete induction, while in others,...concurring instances, without a single exception known or observed, go such a little way towards establishing an universal proposition."4 Every well grounded...