"Science, my boy, is composed of errors, but errors that it is right to make, for they lead step by step to the truth." (Jules Verne, "A Journey to the Centre of the Earth", 1864)
"A modern branch of mathematics, having achieved the art of dealing with the infinitely small, can now yield solutions in other more complex problems of motion, which used to appear insoluble. This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion, admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when dealing with separate elements of motion instead of examining continuous motion. In seeking the laws of historical movement just the same thing happens. The movement of humanity, arising as it does from innumerable human wills, is continuous. To understand the laws of this continuous movement is the aim of history." (Lev N Tolstoy, "War and Peace", 1867)
"What is called science today consists of a haphazard heap of information, united by nothing, often utterly unnecessary, and not only failing to present one unquestionable truth, but as often as not containing the grossest errors, today put forward as truths, and tomorrow overthrown." (Leo Tolstoy, "What Is Art?", 1897)
"All truths are erroneous. This is the very essence of the dialectical process: today’s truths become errors tomorrow." (Yevgeny Zamiatin, "On Literature, Revolution, Entropy, and Other Matters", 1923)
"The Historical Point of View, put briefly, means that when a learned man is presented with any statement in an ancient author, the one question he never asks is whether it is true. He asks who influenced the ancient writer, and how far the statement is consistent with what he said in other books, and what phase in the writer’s development, or in the general history of thought, it illustrates, and how it affected later writers, and how often it has been misunderstood (specially by the learned man’s colleagues) and what the general course of criticism on it has been for the last ten years, and what is the 'present state of the question'. To regard the ancient writer as a possible source of knowledge - to anticipate that what he said could possibly modify your thoughts or your behavior - this would be rejected as unutterably simple-minded. And since we cannot deceive the whole human race all the time, it is most important thus to cut every generation off from all others; for where learning makes a free commerce between the ages there is always the danger that the characteristic errors of one may be corrected by the characteristic truths of another. But thanks be to our Father and the Historical Point of View, great scholars are now as little nourished by the past as the most ignorant mechanic who holds that 'history is bunk." (C. S. Lewis, "The Screwtape Letters", 1942)
"Men must fumble awhile with error to separate it from truth, I think - as long as they don’t seize the error hungrily because it has a pleasanter taste." (Walter M Miller Jr, "A Canticle for Leibowitz", 1959)
"The mathematicians and physics men have their mythology; they work alongside the truth, never touching it; their equations are false But the things work. Or, when gross error appears, they invent new ones; they drop the theory of waves In universal ether and imagine curved space." (Robinson Jeffers, "The Beginning and the End and Other Poems, The Great Wound", 1963)
"A scientist can not be measured quantitatively by the number of degrees or the accumulation of information. A true scientist should have a measure of courage to correct error and seek truth - no matter how painful. The alternative is more painful. To build error upon error is to drift into dogmas, metaphysics, science fiction, and mythology." (Alexander Wilf, "Origin and Destiny of the Moral Species", 1969)
"Man, as such, is a biological error, possibly a too-large brain joined with a full set of primitive instincts that are no longer appropriate, but an error anyway, and [...] he will eventually destroy himself, or be destroyed by his environment, just as all non-appropriate forms of life seem to thrive for a while then die off." (John T. Phillifent, "That Moon Plaque: Comments by Science Fiction Writers’", 1969)
"The machines didn’t tire and the medi-techs never made computational errors but both lacked an essential something. Something only one human being, no matter how inadequate, could give to another." (Leo P. Kelley, "The Handyman", 1965)
"There were times, he said, when human effort appeared to generate nothing but suffering, error, confusion - but maybe even these times add a little to the sum of human understanding." (Edgar Pangborn, "The World Is a Sphere", 1973)
"You have come to the place where all times are one, where all errors can be unmade, where past and future are fluid and subject to redefinition." (Robert Silverberg, "Breckenridge and the Continuum", 1973)
"Every judgment teeters on the brink of error. To claim absolute knowledge is to become monstrous. Knowledge is an unending adventure at the edge of uncertainty." (Frank Herbert, "Children of Dune", 1976)
"A subtle thought that is in error may yet give rise to fruitful inquiry that can establish truths of great value." (Isaac Asimov, "Isaac Asimov’s Book of Science and Nature Quotations", 1988)
"Humans may crave absolute certainty; they may aspire to it; they may pretend, as partisans of certain religions do, to have attained it. But the history of science - by far the most successful claim to knowledge accessible to humans - teaches that the most we can hope for is successive improvement in our understanding, learning from our mistakes, an asymptotic approach to the Universe, but with the proviso that absolute certainty will always elude us. We will always be mired in error. The most each generation can hope for is to reduce the error bars a little, and to add to the body of data to which error bars apply." (Carl Sagan, "The Demon-Haunted World: Science as a Candle in the Dark", 1995)