“A great many individuals ever since the rise of the mathematical method, have, each for himself, attacked its direct and indirect consequences…. I shall call each of these persons a paradoxer, and his system a paradox. I use the word in the old sense:… something which is apart from general opinion, either in subject-matter, method, or conclusion…. Thus in the sixteenth century many spoke of the earth's motion as the paradox of Copernicus, who held the ingenuity of that theory in very high esteem, and some, I think, who even inclined towards it. In the seventeenth century, the depravation of meaning took place… Phillips says paradox is "a thing which seemeth strange"—here is the old meaning…—"and absurd, and is contrary to common opinion," which is an addition due to his own time.”

A Budget of Paradoxes (1872)

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British mathematician, philosopher and university teacher (… 1806–1871

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“A great many individuals ever since the rise of the mathematical method, have, each for himself, attacked its direct and indirect consequences. …I shall call each of these persons a paradoxer, and his system a paradox.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

I use the word in the old sense: ...something which is apart from general opinion, either in subject-matter, method, or conclusion. ...Thus in the sixteenth century many spoke of the earth's motion as the paradox of Copernicus, who held the ingenuity of that theory in very high esteem, and some, I think, who even inclined towards it. In the seventeenth century, the depravation of meaning took place... Phillips says paradox is "a thing which seemeth strange"—here is the old meaning...—"and absurd, and is contrary to common opinion," which is an addition due to his own time.
A Budget of Paradoxes (1872)

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“Ever since I was a boy, I've been fascinated by crazy science and such things as perpetual motion machines and logical paradoxes.”

Martin Gardner (1914–2010) recreational mathematician and philosopher

"Interview: Martin Gardner" by Scot Morris in Omni, Vol. 4, No. 4 (January 1982)
Context: Ever since I was a boy, I've been fascinated by crazy science and such things as perpetual motion machines and logical paradoxes. I've always enjoyed keeping up with those ideas. I suppose I didn't get into it seriously until I wrote my first book, Fads and Fallacies in the Name of Science. I was influenced by the Dianetics movement, now called Scientology, which was then promoted by John Campbell in Astounding Science Fiction. I was astonished at how rapidly the thing had become a cult.

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“[I]n the system of Copernicus there are found many and great inconveniences; for both the loading of the earth with triple motion is very incommodious, and the separation of the sun from the company of the planets, with which it has so many passions in common, is likewise a difficulty, and the introduction of so much immobility into nature, by representing the sun and stars as immovable, especially being of all bodies the highest and most radiant, and making the moon revolve about the earth in an epicycle, and some other assumptions of his, are the speculations of one who cares not what fictions he introduces into nature, provided his calculations answer. But if it be granted that the earth moves, it would seem more natural to suppose that there is no system at all, but scattered globes… than to constitute a system of which the sun is the centre. And this the consent of ages and of antiquity has rather embraced and approved. For the opinion concerning the motion of the earth is not new, but revived from the ancients… whereas the opinion that the sun is the centre of the world and immovable is altogether new… and was first introduced by Copernicus. …But if the earth moves, the stars may either be stationary, as Copernicus thought or, as it is far more probable, and has been suggested by Gilbert, they may revolve each round its own centre in its own place, without any motion of its centre, as the earth itself does… But either way, there is no reason why there should not be stars above stars til they go beyond our sight.”

Francis Bacon (1561–1626) English philosopher, statesman, scientist, jurist, and author

Descriptio Globi Intellectualis (1653, written ca. 1612) Ch. 6, as quoted in "Description of the Intellectual Globe," The Works of Francis Bacon (1889) pp. 517-518, https://books.google.com/books?id=lsILAAAAIAAJ&pg=PA517 Vol. 4, ed. James Spedding, Robert Leslie Ellis, Douglas Denon Heath.

“We are caught up in a paradox, one which might be called the paradox of conceptualization.”

Abraham Kaplan (1918–1993) American philosopher

The proper concepts are needed to formulate a good theory, but we need a good theory to arrive at the proper concepts.
Source: "The Conduct of Inquiry", p. 53.

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“The so-called paradox of freedom is the argument that freedom in the sense of absence of any constraining control must lead to very great restraint, since it makes the bully free to enslave the meek.”

Vol. 1, Notes to the Chapters: Ch. 7, Note 4
The Open Society and Its Enemies (1945)
Context: The so-called paradox of freedom is the argument that freedom in the sense of absence of any constraining control must lead to very great restraint, since it makes the bully free to enslave the meek. The idea is, in a slightly different form, and with very different tendency, clearly expressed in Plato.
Less well known is the paradox of tolerance: Unlimited tolerance must lead to the disappearance of tolerance. If we extend unlimited tolerance even to those who are intolerant, if we are not prepared to defend a tolerant society against the onslaught of the intolerant, then the tolerant will be destroyed, and tolerance with them. — In this formulation, I do not imply, for instance, that we should always suppress the utterance of intolerant philosophies; as long as we can counter them by rational argument and keep them in check by public opinion, suppression would certainly be unwise. But we should claim the right to suppress them if necessary even by force; for it may easily turn out that they are not prepared to meet us on the level of rational argument, but begin by denouncing all argument; they may forbid their followers to listen to rational argument, because it is deceptive, and teach them to answer arguments by the use of their fists or pistols. We should therefore claim, in the name of tolerance, the right not to tolerate the intolerant. We should claim that any movement preaching intolerance places itself outside the law, and we should consider incitement to intolerance and persecution as criminal, in the same way as we should consider incitement to murder, or to kidnapping, or to the revival of the slave trade, as criminal.

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