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William Whewell

From Wikipedia, the free encyclopedia
English polymath (1794–1866)
"Whewell" redirects here. For other uses, seeWhewell (disambiguation).

William Whewell
27th Master ofTrinity College, Cambridge
In office
1841–1866
Preceded byChristopher Wordsworth
Succeeded byWilliam Hepworth Thompson
Personal details
Born(1794-05-24)24 May 1794
Lancaster, England
Died6 March 1866(1866-03-06) (aged 71)
Cambridge, England
Spouses
Alma mater
Known for
Awards
Academic background
Academic advisorJohn Gough[1]
Academic work
Discipline
InstitutionsUniversity of Cambridge (1817–1866)
Notable studentsAugustus De Morgan[1]
Main interests

William Whewell (/ˈhjuːəl/HEW-əl; 24 May 1794 – 6 March 1866) was an Englishpolymath. He was Master ofTrinity College, Cambridge. In his time as a student there, he achieved distinction in bothpoetry andmathematics.

The breadth of Whewell's endeavours is his most remarkable feature. In a time of increasing specialisation, Whewell belonged in an earlier era whennatural philosophers investigated widely. He published work inmechanics,physics,geology,astronomy, andeconomics, while also composingpoetry, writing aBridgewater Treatise, translating the works ofGoethe, and writingsermons andtheological tracts. In mathematics, Whewell introduced what is now called theWhewell equation, defining the shape of a curve without reference to an arbitrarily chosen coordinate system. He also organized thousands of volunteers internationally to studyocean tides, in what is now considered one of the firstcitizen science projects. He received theRoyal Medal for this work in 1837.[2]

One of Whewell's greatest gifts to science was his word-smithing. He corresponded with many in his field and helped them come up withneologisms for their discoveries. Whewell coined, among other terms, scientist,[3]physicist,linguistics,consilience,catastrophism,uniformitarianism, andastigmatism;[4] he suggested toMichael Faraday the termselectrode,ion,dielectric,anode, andcathode.[5][6]

Early life, education and marriages

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Whewell was born inLancaster, the son of John Whewell and his wife, Elizabeth Bennison.[7]His father was a mastercarpenter, and wished him to follow his trade, but William's success inmathematics atLancaster Royal Grammar School andHevershamgrammar school won him anexhibition (a type of scholarship) atTrinity College, Cambridge in 1812. He was the eldest of seven children having three brothers and three sisters born after him. Two of the brothers died as infants while the third died in 1812. Two of his sisters married; he corresponded with them in his career as a student and then a professor. His mother died in 1807, when Whewell was 13 years old. His father died in 1816, the year Whewell received his bachelor degree at Trinity College, but before his most significant professional accomplishments.[8]

Whewell married, firstly, in 1841, Cordelia Marshall, daughter ofJohn Marshall. Within days of his marriage, Whewell was recommended to be master of Trinity College in Cambridge, followingChristopher Wordsworth. Cordelia died in 1855. In 1858 he married again, to Everina Frances (née Ellis), sister ofRobert Leslie Ellis and widow ofSir Gilbert Affleck, 5th Baronet.[9][10] She died in 1865. He had no children.

Career

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Portrait of William Whewell, c. 1863

In 1814 he was awarded theChancellor's Gold Medal for poetry.[11] He wasSecond Wrangler in 1816, President of theCambridge Union Society in 1817, became fellow and tutor of his college.

He was professor ofmineralogy from 1828 to 1832 andKnightbridge Professor of Philosophy (then called "moral theology and casuistical divinity") from 1838 to 1855.[12][13] During the years as professor of philosophy, in 1841, Whewell succeededChristopher Wordsworth as master.

Whewell influenced the syllabus of theMathematical Tripos at Cambridge, which undergraduates studied. He was a proponent of 'mixed mathematics':applied mathematics,descriptive geometry andmathematical physics, in contrast withpure mathematics. Under Whewell, analytic topics such aselliptical integrals were replaced by physical studies of electricity, heat and magnetism. He believed an intuitive geometrical understanding of mathematics, based on Euclid and Newton, was most appropriate.[14]

Death and legacy

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Whewell died in Cambridge in 1866 as a result of a fall from his horse.[15] He was buried in the chapel of Trinity College, Cambridge, whilst his wives are buried together in theMill Road Cemetery, Cambridge. A window dedicated to Lady Affleck, his second wife, was installed in her memory in the chancel ofAll Saints' Church, Cambridge and made byMorris & Co.

A list of his writings was prepared after his death byIsaac Todhunter in two volumes, the first being an index of the names of persons with whom Whewell corresponded.[16][17] Another book was published five years later, as a biography of Whewell's life interspersed with his letters to his father, his sisters, and other correspondence, written and compiled by his niece by marriage, Janet Mary Douglas, called Mrs Stair Douglas on the book's title page.[8] These books are available online in their entirety as part of the Internet Archive.

Endeavours

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History and development of science

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William Whewell,c. 1860s

In 1826 and 1828, Whewell was engaged withGeorge Airy in conducting experiments inDolcoath mine inCornwall, in order to determine thedensity of the earth. Their united labours were unsuccessful, and Whewell did little more in the way ofexperimental science. He was the author, however, of anEssay on Mineralogical Classification, published in 1828, and carried out extensive work on the tides.[18][13]

When Whewell started his work ontides, there was a theory explaining the forces causing the tides, based on the work ofNewton,Bernoulli, andLaplace. But this explained the forces, not how tides actually propagated in oceans bounded by continents. There was a series of tidal observations for a few ports, such asLondon andLiverpool, which allowed tide tables to be produced for these ports. However the methods used to create such tables, and in some cases the observations, were closely guarded trade secrets.John Lubbock, a former student of Whewell's, had analysed the available historic data (covering up to 25 years) for several ports to allow tables to be generated on a theoretical basis, publishing the methodology.[19][20] This work was supported byFrancis Beaufort,Hydrographer of the Navy, and contributed to the publication of theAdmiralty Tide Tables starting in 1833.[21]

Whewell built on Lubbock's work to develop an understanding of tidal patterns around the world that could be used to generate predictions for many locations without the need for long series of tidal observations at each port. This required extensive new observations, initially obtained through an informal network, and later through formal projects enabled by Beaufort at the Admiralty. In the first of these, in June 1834, every Coast Guard station in the United Kingdom recorded the tides every fifteen minutes for two weeks.[22]: 169–173  The second, in June 1835, was an international collaboration, involving Admiralty Surveyors, other Royal Navy and British observers, as well as those from theUnited States,France,Spain,Portugal,Belgium,Denmark,Norway, and theNetherlands. Islands, such as theChannel Islands, were particularly interesting, adding important detail of the progress of the tides through the ocean. The Admiralty also provided the resources for data analysis, and J.F. Dessiou, an expert calculator on the Admiralty staff, was in charge of the calculations.[22]: 175–182 

Part of Whewell's cotidal chart of 1836 showing the predicted no-tide area in the southern North Sea[23]

Whewell made extensive use of graphical methods, and these became not just ways of displaying results, but tools in the analysis of data.[22]: 182  He published a number of maps showingcotidal lines (a term coined by himself, but first published by Lubbock, acknowledging the inventor[24]: 111 [25]) – lines joining points where high tide occurred at the same time. These allowed a graphical representation of the progression of tidal waves through the ocean. From this, Whewell predicted that there should be a place where there was no tidal rise or fall in the southern part of the North Sea.[23] Such a "no-tide zone" is now called anamphidromic point. In 1840, the naval surveyorWilliam Hewett confirmed Whewell's prediction. This involved anchoring his ship, HMSFairy, and taking repeated soundings at the same location withlead and line, precautions being needed to allow for irregularities in the sea bed, and the effects of tidal flow. The data showed a rise of no more than 1 foot (0.30 m), near the limit of accuracy.[26][24]

Whewell published about 20 papers over a period of 20 years on his tidal researches. This was his major scientific achievement, and was an important source for his understanding of the process of scientific enquiry, the subject of one of his major worksPhilosophy of the Inductive Sciences.

His best-known works are two voluminous books that attempt to systematize the development of the sciences,History of the Inductive Sciences (1837) andThe Philosophy of the Inductive Sciences, Founded Upon Their History (1840, 1847, 1858–60). While theHistory traced how each branch of the sciences had evolved since antiquity, Whewell viewed thePhilosophy as the "Moral" of the previous work as it sought to extract auniversaltheory of knowledge through history.

In the latter, he attempted to followFrancis Bacon's plan for discovery. He examined ideas ("explication of conceptions") and by the "colligation of facts" endeavored to unite these ideas with the facts and so construct science.[13] This colligation is an "act of thought", a mental operation consisting of bringing together a number of empirical facts by "superinducing" upon them a conception which unites the facts and renders them capable of being expressed in general laws.[27] Whewell refers to as an exampleKepler and the discovery of the elliptical orbit: the orbit's points werecolligated by theconception of the ellipse, not by the discovery of new facts. These conceptions are not "innate" (as in Kant), but being the fruits of the "progress of scientific thought (history) are unfolded in clearness and distinctness".[28]

Whewell's three steps of induction

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Whewell analyzedinductive reasoning into three steps:

  • The selection of the (fundamental) idea, such as space, number, cause, or likeness (resemblance);
  • The formation of the conception, or more special modification of those ideas, as a circle, a uniform force, etc.; and,
  • The determination of magnitudes.[13]

Upon these follow special methods of induction applicable to quantity: the method of curves, the method of means, the method of least squares and the method of residues, and special methods depending on resemblance (to which the transition is made through the law of continuity), such as the method of gradation and the method of natural classification.[13] InPhilosophy of the Inductive Sciences Whewell was the first to use the term "consilience" to discuss the unification of knowledge between the different branches of learning.

Opponent of English empiricism

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Here, as in hisethical doctrine, Whewell was moved by opposition to contemporaryEnglish empiricism. FollowingImmanuel Kant, he asserted againstJohn Stuart Mill thea priori nature ofnecessary truth, and by his rules for the construction of conceptions he dispensed with theinductive methods of Mill.[13] Yet, according toLaura J. Snyder, "surprisingly, the received view of Whewell's methodology in the 20th century has tended to describe him as an anti-inductivist in thePopperian mold, that is it is claimed that Whewell endorses a 'conjectures and refutations' view of scientific discovery. Whewell explicitly rejects the hypothetico-deductive claim that hypotheses discovered by non-rational guesswork can be confirmed by consequentialist testing. Whewell explained that new hypotheses are 'collected from the facts' (Philosophy of Inductive Sciences, 1849, 17)".[29] In sum, thescientific discovery is a partlyempirical and partlyrational process; the "discovery of the conceptions is neither guesswork nor merely a matter of observations", we infer more than we see.[30]

Whewell's neologisms

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One of Whewell's greatest gifts to science was his wordsmithing. He often corresponded with many in his field and helped them come up withnew terms for their discoveries. In fact, Whewell came up with the termscientist itself in 1833, and it was first published in Whewell's anonymous 1834 review ofMary Somerville'sOn the Connexion of the Physical Sciences published in theQuarterly Review.[31] (They had previously been known as "natural philosophers" or "men of science").

Work in college administration

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Statue of Whewell byThomas Woolner inTrinity College Chapel, Cambridge

Whewell was prominent not only in scientific research and philosophy but also inuniversity and college administration. His first work,An Elementary Treatise on Mechanics (1819), cooperated with those ofGeorge Peacock andJohn Herschel in reforming the Cambridge method of mathematical teaching. His work and publications also helped influence the recognition of the moral and natural sciences as an integral part of the Cambridge curriculum.[13]

In general, however, especially in later years, he opposed reform: he defended thetutorial system, and in a controversy withConnop Thirlwall (1834), opposed the admission ofDissenters; he upheld the clerical fellowship system, the privileged class of "fellow-commoners", and the authority of heads of colleges in university affairs.[13]

He opposed the appointment of the University Commission (1850) and wrote two pamphlets (Remarks) against the reform of the university (1855). He stood against the scheme of entrusting elections to the members of the senate and instead, advocated the use of college funds and thesubvention of scientific and professorial work.[13]

He was electedMaster of Trinity College, Cambridge in 1841, and retained that position until his death in 1866.

TheWhewell Professorship of International Law and the Whewell Scholarships were established through the provisions of his will.[32][33]

Whewell's interests in architecture

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Aside from Science, Whewell was also interested in thehistory of architecture throughout his life. He is best known for his writings onGothic architecture, specifically his book,Architectural Notes on German Churches (first published in 1830). In this work, Whewell established a strict nomenclature for German Gothic churches and came up with a theory of stylistic development. His work is associated with the "scientific trend" of architectural writers, along withThomas Rickman andRobert Willis.

He paid from his own resources for the construction of two new courts of rooms at Trinity College,Cambridge, built in aGothic style. The two courts were completed in 1860 and (posthumously) in 1868, and are now collectively namedWhewell's Court (in the singular).

Whewell's works in philosophy and morals

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Portrait byJames Lonsdale

Between 1835 and 1861 Whewell produced various works on the philosophy ofmorals andpolitics, the chief of which,Elements of Morality, includingPolity, was published in 1845. The peculiarity of this work—written from what is known as theintuitional point of view—is its fivefold division of the springs of action and of their objects, of the primary anduniversal rights of man (personal security, property, contract, family rights, and government), and of the cardinal virtues (benevolence,justice,truth,purity andorder).[13]

Among Whewell's other works—too numerous to mention—were popular writings such as:

  • the thirdBridgewater Treatise,Astronomy and General Physics considered with reference to Natural Theology (1833),
  • the two volumes treatiseThe Philosophy of the Inductive Sciences: Founded Upon Their History (1840),[34][35]
  • the essayOf the Plurality of Worlds (1853), in which he argued against theprobability oflife on other planets,
  • thePlatonic Dialogues for English Readers (1850–1861),
  • theLectures on the History of Moral Philosophy in England (1852),
  • the essay,Of a Liberal Education in General, with particular reference to the Leading Studies of the University of Cambridge (1845),
  • the important edition and abridged translation ofHugo Grotius,De jure belli ac pacis (1853),[36] and
  • the edition of theMathematical Works ofIsaac Barrow (1860).[37][13]

Whewell was one of the Cambridgedons whomCharles Darwin met duringhis education there, and when Darwin returned fromtheBeagle voyage he was directly influenced by Whewell, who persuaded Darwin to become secretary of theGeological Society of London. The title pages ofOn the Origin of Species open with a quotation from Whewell'sBridgewater Treatise about science founded on anatural theology of a creator establishing laws:[38]

But with regard to the material world, we can at least go so far as this—we can perceive that events are brought about not by insulated interpositions of Divine power, exerted in each particular case, but by the establishment of general laws.

Though Darwin used the concepts of Whewell as he made and tested his hypotheses regarding thetheory of evolution, Whewell did not support Darwin's theory itself.

"Whewell also famously opposed the idea of evolution. First he published a new book,Indications of the Creator, 1845, composed of extracts from his earlier works to counteract the popular anonymous evolutionary workVestiges of the Natural History of Creation. Later Whewell opposed Darwin's theories of evolution."[39]

Works by Whewell

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Honors and recognitions

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In fiction

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In the 1857 novelBarchester Towers Charlotte Stanhope uses the topic of the theological arguments, concerning the possibility of intelligent life on other planets, between Whewell andDavid Brewster in an attempt to start up a conversation between her impecunious brother and the wealthy young widow Eleanor Bold.[43]

See also

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References

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  1. ^ab"William Whewell - Biography".Maths History. Retrieved19 July 2025.
  2. ^Cooper, Caren (20 December 2016).Citizen Science: How Ordinary People are Changing the Face of Discovery. Overlook Press. pp. 3–8.ISBN 9781468314144.
  3. ^Lewis, Christopher (2007). "Chapter 5: Energy and Entropy: The Birth of Thermodynamics".Heat and Thermodynamics: A Historical Perspective. United States of America: Greenwood Press. p. 95.ISBN 978-0-313-33332-3.
  4. ^Leffler CT, Schwartz SG, Stackhouse R, Davenport B, Spetzler K (2013)."Evolution and impact of eye and vision terms in written English".JAMA Ophthalmology.131 (12):1625–31.doi:10.1001/jamaophthalmol.2013.917.PMID 24337558.Archived from the original on 23 December 2014.
  5. ^Faraday, Michael (1834)."On Electrical Decomposition". Philosophical Transactions of the Royal Society. Archived fromthe original on 20 July 2011. Retrieved17 January 2010. In this article Faraday coins the wordselectrode,anode,cathode,anion,cation,electrolyte, andelectrolyze.
  6. ^Baigrie, Brian (2007). "Chapter 8: Forces and Fields".Electricity and Magnetism: A Historical Perspective. United States of America: Greenwood Press. p. 86.ISBN 978-0-313-33358-3.
  7. ^Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002(PDF). The Royal Society of Edinburgh. July 2006.ISBN 978-0-902198-84-5. Archived fromthe original(PDF) on 4 March 2016. Retrieved8 April 2019.
  8. ^abDouglas, Janet Mary (1881).The Life and Selections from the Correspondence of William Whewell, D.D. London: C. Kegan Paul & Co.
  9. ^Stray, Christopher (2022), Verburgt, Lukas M. (ed.),"From Bath to Cambridge: The Early Life and Education of Robert Leslie Ellis",A Prodigy of Universal Genius: Robert Leslie Ellis, 1817-1859, vol. 55, Cham: Springer International Publishing, p. 6,doi:10.1007/978-3-030-85258-0_1,ISBN 978-3-030-85257-3, retrieved4 February 2025,Fanny (Everina Frances), the eldest child, was born in 1807 and the last to die, in 1865, the year before her second husband William Whewell, Master of Trinity.
  10. ^Yeo, Richard. "Whewell, William".Oxford Dictionary of National Biography (online ed.). Oxford University Press.doi:10.1093/ref:odnb/29200. (Subscription,Wikipedia Library access orUK public library membership required.)
  11. ^University of Cambridge (1859),A Complete Collection of the English Poems which Have Obtained the Chancellor's Gold Medal in the University of Cambridge, Cambridge: W. Metcalfe
  12. ^"Whewell, William (WHWL811W)".A Cambridge Alumni Database. University of Cambridge.
  13. ^abcdefghijkWikisource One or more of the preceding sentences incorporates text from a publication now in thepublic domainChisholm, Hugh, ed. (1911). "Whewell, William".Encyclopædia Britannica. Vol. 28 (11th ed.). Cambridge University Press. p. 587.
  14. ^Verburgt, Lukas M. (April 2023). "The Venn Behind the Diagram".Mathematics Today. Vol. 59, no. 2.Institute of Mathematics and its Applications. pp. 53–55.
  15. ^GRO Register of Deaths: MAR 1866 3b 353 CAMBRIDGE – William Whewell, aged 71
  16. ^Todhunter, Isaac (1876).William Whewell: An Account of his Writings, with a selection from his literary and scientific correspondence. Vol. 1. London: Macmillan.
  17. ^Todhunter, Isaac (1876).William Whewell: An Account of his Writings, with a selection from his literary and scientific correspondence. Vol. 2. London: Macmillan.
  18. ^Whewell, William (1828).Essay on Mineralogical Classification and Nomenclature; with tables with the Orders and Species of Minerals. Cambridge: Printed by J. Smith, Printer to the University. Retrieved21 July 2023 – via Google Books.
  19. ^Lubbock, John William (1831)."On the tides in the Port of London".Philosophical Transactions of the Royal Society of London.121:379–415.
  20. ^Lubbock, John William (1837)."On the tides".Philosophical Transactions of the Royal Society of London.127:97–140.
  21. ^Friendly, Alfred (1977).Beaufort of the Admiralty. The life of Sir Francis Beaufort 1774–1857. New York: Random House. pp. 294–295.ISBN 0-394-41760-7.
  22. ^abcReidy, M.S. (2009).Tides of History: Ocean Science and Her Majesty's Navy. University of Chicago Press.ISBN 9780226709338.
  23. ^abWhewell, William (1836)."Researches on the tides, sixth series. On the results of an extensive system of tide observations made on the coasts of Europe and America in June 1835".Philosophical Transactions of the Royal Society of London.126:289–341.
  24. ^abCartwright, David Edgar (17 August 2000).Tides: A Scientific History. Cambridge University Press.ISBN 978-0-521-79746-7.OCLC 1001932580.
  25. ^Lubbock, J.W. (1832)."Report on the Tides".Report of the British Association for the Advancement of Science.1: 194.
  26. ^Hewett, William (1841)."Tide observations in the North Sea".The Nautical Magazine:180–183.
  27. ^L.J. Snyder, entry: "W. Whewell" in "Stanford Encyclopedia of Philosophy".
  28. ^W. Whewell "The Philosophy of the Inductive Sciences, Founded Upon Their History" (1860, 373), London J.W. Parker.
  29. ^L.J. Snyder, entry: "Whewell" in "Stanford Encyclopedia of Philosophy".
  30. ^W. Whewell "The History of Scientific Ideas", 1858, I, 46, two volumes, London: John W. Parker.
  31. ^Ross, Sydney (1962)."Scientist: The story of a word".Annals of Science.18 (2):65–85.doi:10.1080/00033796200202722. To be exact, the person coined the termscientist was referred to in Whewell 1834 only as "some ingenious gentleman". Ross added a comment that this "some ingenious gentleman" was Whewell himself, without giving the reason for the identification. Ross 1962, p.72.
  32. ^Statutes and Ordinances of the University of Cambridge. Cambridge University Press. 2009. pp. 49–50.ISBN 9780521137454.
  33. ^William Whewell laid in his will: "an earnest and express injunction on the occupant of this chair that he should make it his aim in all parts of his treatment of the subject, to lay down such rules and suggest such measures as might tend to diminish the evils of war and finally to extinguish war among nations. SeeMaine, Henry Sumner (1888).Whewell Lectures, International Law, A Series of Lectures Delivered before the University of Cambridge, 1887 (1 ed.). London: John Murray. p. 1. via Internet Archive
  34. ^The Philosophy of the Inductive Sciences: Founded Upon Their History,Volume 1
  35. ^The Philosophy of the Inductive Sciences: Founded Upon Their History,Volume 2
  36. ^Grotius on the Right of War and Peace, An Abridged Translation by William Whewell, Cambridge: At the University Press, 1853at Internet Archive
  37. ^The Mathematical Works of Isaac Barrow, D.D., edited for Trinity College by W. Whewell, Cambridge: At University Press, 1860,at Internet Archive
  38. ^Darwin, Charles (1859),On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life, London: John Murray{{citation}}: CS1 maint: publisher location (link) (The Origin of Species page ii.) Retrieved on 5 January 2007
  39. ^van Wyhe, John."William Whewell (1794–1866) gentleman of science".Victorian Web. Retrieved21 September 2021.
  40. ^"Review ofOn the Principles of English University Education by William Whewell".The Quarterly Review.59:439–483. October 1837.
  41. ^"Book of Members, 1780–2010: Chapter W"(PDF). American Academy of Arts and Sciences.
  42. ^"Sedgwick Museum of Earth Sciences – Whewell Mineral Gallery".
  43. ^Bowen, John, ed. (2014). "Explanatory notes".Barchester Towers. Oxford University Press. p. 452.ISBN 9780199665860.

Further reading

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External links

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