“The fuel on which science runs is ignorance. Science is like a hungry furnace that must be fed logs from the forests of ignorance that surround us. In the process, the clearing we call knowledge expands, but the more it expands, the longer its perimeter and the more ignorance comes into view.”

— Matt Ridley , book Genome

Source: Genome (1999), Chapter 20 “Politics” (p. 271)

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Matt Ridley 65

economist 1958

Warren Weaver (1894–1978) American mathematician

Source: "A Scientist Ponders Faith," Saturday Review, 3 (January 1959), as cited in: F.A. Hayek, ‎Ronald Hamowy. The Constitution of Liberty: The Definitive Edition. 2013, p. 77.
Context: Is science really gaining in its assault on the totality of the unsolved? As science learns one answer, it is characteristically true that it also learns several new questions. It is as though science were working in a great forest of ignorance, making an ever larger circular clearing within which, not to insist on the pun, things are clear... But as that circle becomes larger and larger, the circumference of contact with ignorance also gets longer and longer. Science learns more and more. But there is an ultimate sense in which it does not gain; for the volume of the appreciated but not understood keeps getting larger. We keep, in science, getting a more and more sophisticated view of our essential ignorance.

“Knowledge is not happiness, and science
But an exchange of ignorance for that
Which is another kind of ignorance.”

George Gordon Byron book Manfred

Act II, scene iv.
Manfred (1817)

“Although science claims the whole universe as its field... it confesses that its ignorance is more widely extended than its knowledge. In this very confession... it finds a safeguard for future progress. Science cannot... allow theologian or metaphysician... to the foreshore of our present ignorance, and so hinder the development in due time...”

Karl Pearson book The Grammar of Science

Introductory
The Grammar of Science (1900)

“The study of science, dissociated from that of philosophy and literature, narrows the mind and weakens the power to love and follow the noblest ideals: for the truths which science ignores and must ignore are precisely those which have the deepest bearing on life and conduct.”

John Lancaster Spalding (1840–1916) Catholic bishop

Source: Aphorisms and Reflections (1901), p. 241

“True science teaches us to doubt and to abstain from ignorance.”

Claude Bernard (1813–1878) French physiologist

Bulletin of New York Academy of Medicine, Vol. IV (1928)

“The ignorance of science means the enforced ignorance of mankind.”

Karl Pearson book The Grammar of Science

Introductory
The Grammar of Science (1900)

“We live on an island surrounded by a sea of ignorance. As our island of knowledge grows, so does the shore of our ignorance.”

John Archibald Wheeler (1911–2008) American physicist

Scientific American (1992), Vol. 267.

“Fortunately science, like that nature to which it belongs, is neither limited by time nor by space. It belongs to the world, and is of no country and of no age. The more we know, the more we feel our ignorance; the more we feel how much remains unknown”

Humphry Davy (1778–1829) Cornish chemist

Discourse Delivered at the Royal Society (30 November 1825), published in Six Discourses delivered before the Royal Society, at their Anniversary Meetings, on the Award of the Royal and Copley Medals, preceded by an Address to the Society on the Progress and Prospects of Science (1827); also in The Edinburgh Review Or Critical Journal (October 1827)
Context: Fortunately science, like that nature to which it belongs, is neither limited by time nor by space. It belongs to the world, and is of no country and of no age. The more we know, the more we feel our ignorance; the more we feel how much remains unknown; and in philosophy, the sentiment of the Macedonian hero can never apply, — there are always new worlds to conquer.

“Cognitive introspective psychology and related cognitive science can no longer be ignored experimentally, or written off as "a science of epiphenomena", nor either as something that must, in principle, reduce eventually to neurophysiology.”

Roger Wolcott Sperry (1913–1994) American neuroscientist

Nobel lecture (1981)
Context: Cognitive introspective psychology and related cognitive science can no longer be ignored experimentally, or written off as "a science of epiphenomena", nor either as something that must, in principle, reduce eventually to neurophysiology. The events of inner experience, as emergent properties of brain processes, become themselves explanatory causal constructs in their own right, interacting at their own level with their own laws and dynamics. The whole world of inner experience (the world of the humanities) long rejected by 20th century scientific materialism, thus becomes recognized and included within the domain of science.

“Mathematics is the gate and key of the sciences. … Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.”

Roger Bacon book Opus Majus

cited in: Morris Kline (1969) Mathematics and the physical world. p. 1
Opus Majus, c. 1267

“The fuel on which science runs is ignorance. Science is like a hungry furnace that must be fed logs from the forests of ignorance that surround us. In the process, the clearing we call knowledge expands, but the more it expands, the longer its perimeter and the more ignorance comes into view.”

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