Source: Computer Science as Empirical Inquiry: Symbols and Search (1975), p. 116. This is also called the Church–Turing thesis.
“It will be necessary to dwell on futile reasoning and visionary hypothesis because the most extravagant systems were often invented or controverted by men of acknowledged talent.”
Chpt.3, p. 34
Principles of Geology (1832), Vol. 1
Context: It may be well to forewarn our readers that in tracing the history of geology from the close of the seventeenth to the end of the eighteenth century they must expect to be occupied with accounts of the retardation as well as of the advance of the science.... It will be necessary to dwell on futile reasoning and visionary hypothesis because the most extravagant systems were often invented or controverted by men of acknowledged talent.
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Charles Lyell 103
British lawyer and geologist 1797–1875Related quotes
“Necessary is often the mother of light fingers instead of invention.”
Source: No Enemy But Time (1982), Chapter 10 “Fruit of the Looms” (p. 76)

“To dwell on the lack thereof is a mental trap the majority of visionaries are taught to do.”

The Reappearance of the Christ and the Masters of Wisdom (1980)

“At that age you invent extravagant compensations for bruises to your dignity.”
Part 3, Chapter 3 (p. 118)
Nifft the Lean (1982)

“If there were no such creatures as minstrel-maidens, it would be necessary to invent them.”
Section 7
The Dragon Masters (1962)

“Men's weaknesses are often necessary to the purposes of life.”
Joyzelle, Act ii, reported in Bartlett's Familiar Quotations, 10th ed. (1919)

When asked if he could have gone against his orders. Quoted in "The Healing Wound: Experiences and Reflections on Germany" - Page 125 - by Gitta Sereny - History - 2001.