“Each vulgar opinion, proved to be erroneous, is an approximation to truth.”

Book I, ch. II, The Passage from Madeira to the Cape Verd Islands, and from thence to the Cape of Good Hope.
A Voyage Round the World (1777)

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Do you have more details about the quote "Each vulgar opinion, proved to be erroneous, is an approximation to truth." by Georg Forster?
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Georg Forster 6
German naturalist, ethnologist, travel writer, journalist, … 1754–1794

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“Job abandoned his first very erroneous opinion, and himself proved that it was an error.”

Source: Guide for the Perplexed (c. 1190), Part III, Ch.23
Context: The words of God are justified, as I will show, by the fact that Job abandoned his first very erroneous opinion, and himself proved that it was an error. It is the opinion which suggests itself as plausible at first thought, especially in the minds of those who meet with mishap, well knowing that they have not merited them through sins. This is admitted by all, and therefore this opinion was assigned to Job. But he is represented to hold this view only so long as he was without wisdom, and knew God only by tradition, in the same manner as religious people generally know Him. As soon as he had acquired a true knowledge of God, he confessed that there is undoubtedly true felicity in the knowledge of God; it is attained by all who acquire that knowledge, and no earthly trouble can disturb it. So long as Job's knowledge of God was based on tradition and communication, and not on research, he believed that such imaginary good as is possessed in health, riches, and children, was the utmost that men can attain; this was the reason why he was in perplexity, and why he uttered the... opinions, and this is also the meaning of his words: "I have heard of thee by the hearing of the ear; but now mine eye seeth thee. Wherefore I abhor myself, and repent because of dust and ashes" (xlii. 5, 6); that is to say, he abhorred all that he had desired before, and that he was sorry that he had been in dust and ashes; comp. "and he sat down among the ashes" (ii. 8) On account of this last utterance, which implies true perception, it is said afterwards in reference to him, "for you have not spoken of me the thing that is right, as my servant Job hath."

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“Impossible to accede to truth by opinions, for each opinion is only a mad perspective of reality.”

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“Men have an extraordinarily erroneous opinion of their position in nature; and the error is ineradicable.”

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“I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics.”

John Von Neumann (1903–1957) Hungarian-American mathematician and polymath

"The Mathematician", in The Works of the Mind (1947) edited by R. B. Heywood, University of Chicago Press, Chicago
Context: I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is … governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.

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“To me it is far more pleasant to agree than to differ; but it is impossible that one who has any regard for truth can long avoid protesting against doctrines which seem to him to be erroneous. There is ever a tendency of the most hurtful kind to allow opinions to crystallise into creeds.”

Source: The Theory of Political Economy (1871), Chapter VIII : Concluding Remarks, The Noxious Influence of Authority, p. 220.
Context: To me it is far more pleasant to agree than to differ; but it is impossible that one who has any regard for truth can long avoid protesting against doctrines which seem to him to be erroneous. There is ever a tendency of the most hurtful kind to allow opinions to crystallise into creeds. Especially does this tendency manifest itself when some eminent author, enjoying power of clear and comprehensive exposition, becomes recognised as an authority. His works may perhaps be the best which are extant upon the subject in question; they may combine more truth with less error than we can elsewhere meet. But "to err is human," and the best works should ever be open to criticism. If, instead of welcoming inquiry and criticism, the admirers of a great author accept his writings as authoritative, both in their excellences and in their defects, the most serious injury is done to truth. In matters of philosophy and science authority has ever been the great opponent of truth. A despotic calm is usually the triumph of error. In the republic of the sciences sedition and even anarchy are beneficial in the long run to the greatest happiness of the greatest number.

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