
Quoted in Mathematical Mysteries : The Beauty and Magic of Numbers (1999) by Calvin C. Clawson, p. 258
[Michael Atiyah, Collected Works: Michael Atiyah Collected Works: Volume 1: Early Papers; General Papers, http://books.google.com/books?id=YJ0cZwxLECAC&pg=PA250, 28 April 1988, Clarendon Press, 978-0-19-853275-0, 250]
Quoted in Mathematical Mysteries : The Beauty and Magic of Numbers (1999) by Calvin C. Clawson, p. 258
Source: The Geological Evidences of the Antiquity of Man (1863), Ch.21, p. 422
Source: Testimony: its Posture in the Scientific World (1859), p. 10
Context: The fall of meteoric stones was occasionally reported by good witnesses during many ages. But science did not understand how stones should be formed in or beyond the atmosphere... The accounts of the fall of meteoric stones were held to be incompatible with the laws of nature, and specimens which had been seen to fall by hundreds of people were preserved in cabinets of natural history as ordinary minerals, 'which the credulous and superstitious regarded as having fallen from the clouds.' A committee of the French Academy of Sciences, including the celebrated Lavoisier, unanimously rejected an account of three nearly contemporary descents of meteorites which reached them on the strongest evidence. After two thousand years of incredulity, the truth in this matter was forced upon the scientific world about the beginning of the present century. There would have been at any time, of course, an instant cessation of skepticism if any one could have shewn, a priori, from ascertained principles in connection with the atmosphere, how stones were to be expected to fall from the sky. But what is this but to say that facts by themselves, however well attested, are wholly useless in such circumstances to the cultivators of physical science, while any kind of vague hypothesis can be brought forward in opposition to them? What is it but to put conjecture or prejudice above fact, and indeed utterly to repudiate the Baconian method?
Part III, Chapter X, The Status of Gold and Silver, p. 127
Storage and Stability (1937)
Tlön, Uqbar, Orbis Tertius (1940)
Context: Who are the inventors of Tlön? The plural is inevitable, because the hypothesis of a lone inventor — an infinite Leibniz laboring away darkly and modestly — has been unanimously discounted. It is conjectured that this brave new world is the work of a secret society of astronomers, biologists, engineers, metaphysicians, poets, chemists, algebraists, moralists, painters, geometers... directed by an obscure man of genius. Individuals mastering these diverse disciplines are abundant, but not so those capable of inventiveness and less so those capable of subordinating that inventiveness to a rigorous and systematic plan. This plan is so vast that each writer's contribution is infinitesimal. At first it was believed that Tlön was a mere chaos, and irresponsible license of the imagination; now it is known that it is a cosmos and that the intimate laws which govern it have been formulated, at least provisionally. Let it suffice for me to recall that the apparent contradictions of the Eleventh Volume are the fundamental basis for the proof that the other volumes exist, so lucid and exact is the order observed in it.
Set theory and the continuum hypothesis, p. 1. https://books.google.com/books?id=Z4NCAwAAQBAJ&pg=PA1 Courier Corporation, 2008 (Dover reprint).
Set Theory and the Continuum Hypothesis (1966)
Source: The Postmodern Condition: A Report on Knowledge (1977), p.3