“If the question be raised, why such an apparently special problem as the quadrature of the circle, is deserving of the sustained interest which has attained to it, and which it still possesses, the answer is only to be found in a scrutiny of the history of the problem, and especially in the closeness of the connection of that history with the general history of Mathematical Science.”

— E. W. Hobson

Source: Squaring the Circle (1913), p. 2

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "If the question be raised, why such an apparently special problem as the quadrature of the circle, is deserving of the …" by E. W. Hobson?

E. W. Hobson 20

British mathematician 1856–1933

Related quotes

“The history of mathematics may be instructive as well as agreeable; it may not only remind us of what we have, but may also teach us to increase our store. Says De Morgan, "The early history of the mind of men with regards to mathematics leads us to point out our own errors; and in this respect it is well to pay attention to the history of mathematics." It warns us against hasty conclusions; it points out the importance of a good notation upon the progress of the science; it discourages excessive specialization on the part of the investigator, by showing how apparently distinct branches have been found to possess unexpected connecting links; it saves the student from wasting time and energy upon problems which were, perhaps, solved long since; it discourages him from attacking an unsolved problem by the same method which has led other mathematicians to failure; it teaches that fortifications can be taken by other ways than by direct attack, that when repulsed from a direct assault it is well to reconnoitre and occupy the surrounding ground and to discover the secret paths by which the apparently unconquerable position can be taken.”

Florian Cajori book A History of Mathematics

Source: A History of Mathematics (1893), pp. 1-2; Cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/198/mode/2up, (1914) p. 90; Study and research in mathematics

“The history of Alexandrian mathematics begins with the Elements of Euclid and closes with the Algebra of Diophantus, both of which are founded on the discoveries of several preceding centuries.”

James Gow (scholar) (1854–1923) scholar

Preface
A Short History of Greek Mathematics (1884)

“During that period von Bertalanffy as a young scholar was not only interested in biology and philosophy of science. He was also interested in history and generally in humanities. He studied Oswald Spengler's theory of history and has written a paper on this topic. His interest in Spengler's theory of history anticipated von Bertalanffy's lifelong attempts to reconcile sciences with humanities.”

Thaddus E. Weckowicz (1919–2000) Canadian psychologist

Source: Ludwig von Bertalanffy (1901-1972) (1989), p. 4

“It has always appeared to me that we sacriﬁce many of the advantages and more of the pleasures of studying any science by omitting all reference to the history of its progress: I have therefore occasionally introduced historical notices of those problems which are interesting either from the nature of the questions involved, or from their bearing on the history of the Calculus. …[T]hese digressions may serve to relieve the dryness of a mere collection of Examples.”

Duncan Gregory (1813–1844) British mathematician

p. vi http://books.google.com/books?id=h7JT-QDuAHoC&pg=PR6, as cited in: Patricia R. Allaire and Robert E. Bradley. " Symbolical algebra as a foundation for calculus: DF Gregory's contribution http://poncelet.math.nthu.edu.tw/disk5/js/history/gregory.pdf." Historia Mathematica 29.4 (2002): p. 409.
Examples of the processes of the differential and integral calculus, (1841)

“[Weber] is the only one who really deals with the problem of causes or approaches the material from that angle that can alone yield an answer to such questions, that is, the angle of comparative history in the broad sense.”

Frank Knight (1885–1972) American economist

Source: "Historical and theoretical issues in the problem of modern capitalism", 1928, p. 143

“To me this question whether liberty is a good or a bad thing appears as irrational as the question whether fire is a good or a bad thing. It is both good and bad according to time, place, and circumstance, and a complete answer to the question, In what cases is liberty good and in what cases is it bad? would involve not merely a universal history of mankind, but a complete solution of the problems which such a history would offer.”

James Fitzjames Stephen (1829–1894) Indian judge

Source: Liberty, Equality, Fraternity (1873-1874), Ch. 2

“A generation which ignores history has no past —and no future.”

Robert A. Heinlein Time Enough for Love

Source: Time Enough for Love (1973)

“Take the case of a famous problem which plays a great part in the history of Greek geometry, the doubling of the cube, or its equivalent, the finding of two mean proportionals in continued proportion between two given straight lines. …if all the recorded solutions are collected together, it is much easier to see the relations, amounting in some cases to substantial identity, between them, and to get a comprehensive view of the history of the problem. I have therefore dealt with this problem in a separate section of the chapter devoted to 'Special Problems,' and I have followed the same course with the other famous problems of squaring the circle and trisecting any angle.”

Thomas Little Heath (1861–1940) British civil servant and academic

A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

“History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones.”

David Hilbert Mathematical Problems

Mathematical Problems (1900)
Context: History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones. If we would obtain an idea of the probable development of mathematical knowledge in the immediate future, we must let the unsettled questions pass before our minds and look over the problems which the science of today sets and whose solution we expect from the future. To such a review of problems the present day, lying at the meeting of the centuries, seems to me well adapted. For the close of a great epoch not only invites us to look back into the past but also directs our thoughts to the unknown future.

“What is intelligible in history can be formulated only with reference to problems and conceptual constructions which themselves arise in the flux of historical experience.”

Karl Mannheim (1893–1947) Hungarian sociologist

Ideology and Utopia (1929)

Help us to complete the source, original and additional information

E. W. Hobson 20

Related quotes

Related topics