“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)

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Karl Pearson 65

English mathematician and biometrician 1857–1936

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“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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“The field of science is unlimited; its material is endless, every group of natural phenomena, every phase of social life, every stage of past or present development is material for science. The unity of all science consists alone in its method, not in its material.”

Karl Pearson book The Grammar of Science

Introductory
The Grammar of Science (1900)

“Science can destroy religion by ignoring it as well as by disproving its tenets.”

Arthur C. Clarke book Childhood's End

1950s
Source: Childhood's End (1953), p. 15
Context: Science can destroy religion by ignoring it as well as by disproving its tenets. No one ever demonstrated, so far as I am aware, the non-existence of Zeus or Thor — but they have few followers now.

“A nation which is ignorant of its history cannot properly make choices about its future.”

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“The history of Western science confirms the aphorism that the great menace to progress is not ignorance but the illusion of knowledge.”

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This "aphorism" was expressed in different forms by Josh Billings and Socrates. note: Often misquoted as, "The greatest enemy of knowledge is not ignorance, it is the illusion of knowledge," and often misattributed to Stephen Hawking.
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“One cannot ignore half of life for the purposes of science, and then claim that the results of science give a full and adequate picture of the meaning of life.”

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Source: Religion and the Rebel (1957), p. 309
Context: One cannot ignore half of life for the purposes of science, and then claim that the results of science give a full and adequate picture of the meaning of life. All discussions of 'life' which begin with a description of man's place on a speck of matter in space, in an endless evolutionary scale, are bound to be half-measures, because they leave out most of the experiences which are important to use as human beings.

“Religion claims to help us understand things about the universe, but, unlike science has no way to test or verify its claims. Both science and religion compete to understand reality, but only science has the method to verify its findings, while religion merely buttresses emotional and epistemic commitments made in advance, commitments impervious to evidence.”

Jerry Coyne (1949) American biologist

" Jeffrey Tayler continues making Salon friendlier to anti-theism https://whyevolutionistrue.wordpress.com/2015/04/13/jeffrey-tayler-continues-making-salon-friendlier-to-anti-theism/" April 13, 2015

“Computer science is a restless infant and its progress depends as much on shifts in point of view as on the orderly development of our current concepts.”

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“Science is much more than a body of knowledge. It is a way of thinking. This is central to its success. Science invites us to let the facts in, even when they don’t conform to our preconceptions.”

Carl Sagan (1934–1996) American astrophysicist, cosmologist, author and science educator

"Why We Need To Understand Science" in The Skeptical Inquirer Vol. 14, Issue 3 (Spring 1990)
Context: Science is much more than a body of knowledge. It is a way of thinking. This is central to its success. Science invites us to let the facts in, even when they don’t conform to our preconceptions. It counsels us to carry alternative hypotheses in our heads and see which ones best match the facts. It urges on us a fine balance between no-holds-barred openness to new ideas, however heretical, and the most rigorous skeptical scrutiny of everything — new ideas and established wisdom. We need wide appreciation of this kind of thinking. It works. It’s an essential tool for a democracy in an age of change. Our task is not just to train more scientists but also to deepen public understanding 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

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Karl Pearson 65

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