“Evidently it is a pure outcome of our sense for apprehending serial increase; and, unlike the several propositions themselves which make up the series”
Source: 1890s, The Principles of Psychology (1890), Ch. 28
Context: This world might be a world in which all things differed, and in which what properties there were were ultimate and had no farther predicates. In such a world there would be as many kinds as there were separate things. We could never subsume a new thing under an old kind; or if we could, no consequences would follow. Or, again, this might be a world in which innumerable things were of a kind, but in which no concrete thing remained of the same kind long, but all objects were in a flux. Here again, though we could subsume and infer, our logic would be of no practical use to us, for the subjects of our propositions would have changed whilst we were talking. In such worlds logical relations would obtain, and be known (doubtless) as they are now, but they would form a merely theoretic scheme and be of no use for the conduct of life. But our world is no such world. It is a very peculiar world, and plays right into logic's hands. Some of the things, at least, which it contains are of the same kind as other things; some of them remain always of the kind of which they once were; and some of the properties of them cohere indissolubly and are always found together. Which things these latter things are we learn by experience in the strict sense of the word, and the results of the experience are embodied in 'empirical propositions.' Whenever such a thing is met with by us now, our sagacity notes it to be of a certain kind; our learning immediately recalls that kind's kind, and then that kind's kind, and so on; so that a moment's thinking may make us aware that the thing is of a kind so remote that we could never have directly perceived the connection. The flight to this last kind over the heads of the intermediaries is the essential feature of the intellectual operation here. Evidently it is a pure outcome of our sense for apprehending serial increase; and, unlike the several propositions themselves which make up the series (and which may all be empirical), it has nothing to do with the time- and space-order in which the things have been experienced.
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William James 246
American philosopher, psychologist, and pragmatist 1842–1910Related quotes

Source: Fuzzy sets and fuzzy logic (1995), p. 205 cited in: Flavio Comim, et al. (2008) The Capability Approach: Concepts, Measures and Applications. p. 298.

Nur im Zusammenhange eines Satzes bedeuten die Wörter etwas. Es wird also darauf ankommen, den Sinn eines Satzes zu erklären, in dem ein Zahlwort vorkommt.
Gottlob Frege (1950 [1884]). p. 73

It is also frequently said, when a quantity diminishes without limit, that it has nothing, zero or 0, for its limit: and that when it increases without limit it has infinity or ∞ or 1⁄0 for its limit.
The Differential and Integral Calculus (1836)
Thoughts on the Riemann hypothesis http://link.springer.com/article/10.1007/BF02985392 The Mathematical Intelligencer (December 2004) vol. 26, issue 1, pp. 4–7, quote on p. 4

"Previous Thoughts" at rawilson.com
Context: I regard the two major male archetypes in 20th Century literature as Leopold Bloom and Hannibal Lecter. M. D. Bloom, the perpetual victim, the kind and gentle fellow who finishes last, represented an astonishing breakthrough to new levels of realism in the novel, and also symbolized the view of humanity that hardly anybody could deny c. 1900-1950. History, sociology, economics, psychology et al. confirmed Joyce’s view of Everyman as victim. Bloom, exploited and downtrodden by the Brits for being Irish and rejected by many of the Irish for being Jewish, does indeed epiphanize humanity in the first half of the 20th Century. And he remains a nice guy despite everything that happens...
Dr Lecter, my candidate for the male archetype of 1951-2000, will never win any Nice Guy awards, I fear, but he symbolizes our age as totally as Bloom symbolized his. Hannibal's wit, erudition, insight into others, artistic sensitivity, scientific knowledge etc. make him almost a walking one man encyclopedia of Western civilization. As for his "hobbies" as he calls them — well, according to the World Game Institute, since the end of World War II, in which 60,000,000 human beings were murdered by other human beings, 193, 000,000 more humans have been murdered by other humans in brush wars, revolutions, insurrections etc. What better symbol of our age than a serial killer? Hell, can you think of any recent U. S. President who doesn't belong in the Serial Killer Hall of Fame? And their motives make no more sense, and no less sense, than Dr Lecter's Darwinian one-man effort to rid the planet of those he finds outstandingly loutish and uncouth.

Quote reported in Josiah Hotchkiss Gilbert, Dictionary of Burning Words of Brilliant Writers (1895), p. 365.