Source: Mathematical Thought from Ancient to Modern Times (1972), p. 57
Context: The Greeks failed to comprehend the infinitely large, the infinitely small, and infinite processes. They "shrank before the silence of the infinite spaces."
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 176
“For how shall the finite comprehend the infinite?”
George Boole, An Investigation of the Laws of Thought (1854) Ch. 13. Clarke and Spinoza, pp. 216-217. https://books.google.com/books?id=DqwAAAAAcAAJ&pg=PA216
Context: It is not possible, I think, to rise from the perusal of the arguments of Clark and Spinoza without a deep conviction of the futility of all endeavors to establish, entirely à priori, the existence of an Infinite Being, His attributes, and His relation to the universe. The fundamental principle of all such speculations, viz. that whatever we can clearly conceive, must exist, fails to accomplish its end, even when its truth is admitted. For how shall the finite comprehend the infinite? Yet must the possibility of such conception be granted, and in something more than the sense of a mere withdrawal of the limits of phænomal existence, before any solid ground can be established for the knowledge, à priori, of things infinite and eternal.
Frag. B 1, quoted in John Burnet's Early Greek Philosophy, (1920), Chapter 6.
“A complex system can fail in an infinite number of ways”
Source: General systemantics, an essay on how systems work, and especially how they fail..., 1975, p. 92, cited in: Erik Hollnagel (2004) Barriers and accident prevention. p. 182
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 175
Anarchism: Its Philosophy and Ideal (1896)
Context: Take any work on astronomy of the last century, or the beginning of ours. You will no longer find in it, it goes without saying, our tiny planet placed in the center of the universe. But you will meet at every step the idea of a central luminary — the sun — which by its powerful attraction governs our planetary world. From this central body radiates a force guiding the course of the planets, and maintaining the harmony of the system. Issued from a central agglomeration, planets have, so to say, budded from it; they owe their birth to this agglomeration; they owe everything to the radiant star that represents it still: the rhythm of their movements, their orbits set at wisely regulated distances, the life that animates them and adorns their surfaces. And when any perturbation disturbs their course and makes them deviate from their orbits, the central body re-establishes order in the system; it assures and perpetuates its existence.
This conception, however, is also disappearing as the other one did. After having fixed all their attention on the sun and the large planets, astronomers are beginning to study now the infinitely small ones that people the universe. And they discover that the interplanetary and interstellar spaces are peopled and crossed in all imaginable directions by little swarms of matter, invisible, infinitely small when taken separately, but all-powerful in their numbers.
“It is infinitely better to vote for freedom and fail than to vote for slavery and succeed.”
Competition versus Cooperation (1900)
Context: I would address a few words to those who are in sympathy with the Social Democratic Party, but who hesitate to vote for it for fear they may lose their votes. Let me say to you: It is infinitely better to vote for freedom and fail than to vote for slavery and succeed.
