“Combining this observation with the insight that science has no special method, we arrive at the result that the separation of science and non-science is not only artificial but also detrimental to the advancement of knowledge. If we want to understand nature, if we want to master our physical surroundings, then we must use all ideas, all methods, and not just a small selection of them. The assertion, however, that there is no knowledge outside science - extra scientiam nulla salus”

— Paul Karl Feyerabend , book Against Method

is nothing but another and most convenient fairy-tale. Primitive tribes has more detailed classifications of animals and plant than contemporary scientific zoology and botany, they know remedies whose effectiveness astounds physicians (while the pharmaceutical industry already smells here a new source of income), they have means of influencing their fellow men which science for a long time regarded as non-existent (voodoo), they solve difficult problems in ways which are still not quite understood (building of the pyramids; Polynesian travels), there existed a highly developed and internationally known astronomy in the old Stone Age, this astronomy was factually adequate as well as emotionally satisfying, it solved both physical and social problems (one cannot say the same about modern astronomy) and it was tested in very simple and ingenious ways (stone observatories in England and in the South Pacific; astronomical schools in Polynesia - for a more details treatment an references concerning all these assertions cf. my Einfuhrung in die Naturphilosophie). There was the domestication of animals, the invention of rotating agriculture, new types of plants were bred and kept pure by careful avoidance of cross fertilization, we have chemical inventions, we have a most amazing art that can compare with the best achievement of the present. True, there were no collective excursions to the moon, but single individuals, disregarding great dangers to their soul and their sanity, rose from sphere to sphere to sphere until they finally faced God himself in all His splendor while others changed into animals and back into humans again. At all times man approached his surroundings with wide open senses and a fertile intelligence, at all times he made incredible discoveries, at all times we can learn from his ideas.
Pg. 306-307
Against Method (1975)

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Paul Karl Feyerabend 81

Austrian-born philosopher of science 1924–1994

Jay Lemke (1946) American academic

Source: Talking Science: Language, Learning, and Values. 1990, p. 149

“All the knowledge we have of nature depends upon facts; for without observations and experiments our natural philosophy would only be a science of terms and an unintelligible jargon.”

John Theophilus Desaguliers (1683–1744) French-born British natural philosopher and clergyman

Source: Course of Experimental Philosophy, 1745, p. v: Preface
Context: All the knowledge we have of nature depends upon facts; for without observations and experiments our natural philosophy would only be a science of terms and an unintelligible jargon. But then we must call in Geometry and Arithmetics, to our Assistance, unless we are willing to content ourselves with natural History and conjectural Philosophy. For, as many causes concur in the production of compound effects, we are liable to mistake the predominant cause, unless we can measure the quantity and the effect produced, compare them with, and distinguish them from, each other, to find out the adequate cause of each single effect, and what must be the result of their joint action.

“My claim is this: science and religion are incompatible because they have different methods for getting knowledge about reality, have different ways of assessing the reliability of that knowledge, and, in the end, arrive at conflicting conclusions about the universe. “Knowledge” acquired by religion is at odds not only with scientific knowledge, but also with knowledge professed by other religions. In the end, religion’s methods, unlike those of science, are useless for understanding reality.”

Jerry Coyne book Faith vs. Fact: Why Science and Religion are Incompatible

Source: Faith vs. Fact (2015), p. 64

“Physical science comes nearest to that complete system of exact knowledge which all sciences have before them as an ideal. Some fall far short of it. The physicist who inveighs against the lack of coherence and the indefiniteness of theological theories, will probably speak not much less harshly of the theories of biology and psychology. They also fail to come up to his standard of methodology. On the other side of him stands an even superior being — the pure mathematician — who has no high opinion of the methods of deduction used in physics, and does not hide his disapproval of the laxity of what is accepted as proof in physical science. And yet somehow knowledge grows in all these branches. Wherever a way opens we are impelled to seek by the only methods that can be devised for that particular opening, not over-rating the security of our finding, but conscious that in this activity of mind we are obeying the light that is in our nature.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Science and the Unseen World (1929)

“And if the experience of natural science is any guide, then as the science of administration advances, we may reasonably expect it to take on an increasingly deterministic character. As research, scientific societies, and the exchanges of knowledge and hypotheses by natural scientists have advanced the exactness of knowledge in the domain of natural science, so we may expect research, administrative societies, and the exchanges among administrators to advance the exactness of knowledge in the domain of administration.”

Charles A. Beard (1874–1948) American historian

661-2
Philosophy, Science and Art of Public Administration (1939)

“The basis of science is the empirical method, which uses the senses to build up a picture of the world; but science tells us that our senses have evolved to help us get by, not to show us the world as it is. Science is only a systematic examination of our impressions, and in the end all each of us has left are our own sensations … The end-result of the empirical method, then, is that each individual is left alone with their own experiences. We can escape this solitude, Balfour suggested, only if we accept that there is a divine mind.”

John Gray (1948) British philosopher

Cross-correspondences (p. 69-70)
The Immortalization Commission: The Strange Quest to Cheat Death (2011)

“There's different types of knowledge, and this is where I believe the confusion lies. There's experimental or observational science as we call it. That's using the scientific method: observation, measurement, experiment, testing. That's what produces our technology: computers, spacecraft, jet planes, smoke detectors, looking at DNA, antibiotics, medicines and vaccines. You see, all scientists, whether Creationist or Evolutionist, actually have the same observational or experimental science. It doesn't matter if you're a Creationist or an Evolutionist: you can be a great scientist… But I want us to also understand that molecules-to-man evolution belief has nothing to do with developing technology.”

Ken Ham (1951) Australian young Earth creationist

"Bill Nye Debates Ken Ham" (February 4, 2014)

“Science tells us that the earth is getting warmer and we are probably doing it. Science tells us that this is bad. Therefore, we want science.”

Marc Randazza (1969) American writer

“While it is true that science cannot decide questions of value, that is because they cannot be intellectually decided at all, and lie outside the realm of truth and falsehood. Whatever knowledge is attainable, must be attained by scientific methods; and what science cannot discover, mankind cannot know.”

Bertrand Russell book Religion and Science

Religion and Science (1935), Ch. IX: Science of Ethics.
1930s
Variant: "What science cannot tell us, mankind cannot know." (Attributed to Russell in Ted Peters' Cosmos As Creation: Theology and Science in Consonance [1989], p. 14, with a note that it was "told [to] a BBC audience [earlier this century]").

“Because of experimental science we know a very large number of things about the natural world of which our predecessors were ignorant. In the great books we can observe the birth of science, applaud the development of the experimental technique, and celebrate the triumphs it has won. But we can also note the limitations of the method and mourn the errors that its misapplication has caused. We can distinguish the outlines of those great persistent problems that the method … may never solve and find the clues to their solutions offered by other methods and other disciplines.”

Robert Maynard Hutchins (1899–1977) philosopher and university president

Great Books: The Foundation of a Liberal Education (1954)

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