Hugh McColl (mathematician)
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Hugh MacColl (before April 1885 spelled as Hugh McColl; 1831–1909) was a Scottish mathematician, logician and novelist.


Life

MacColl was the youngest son of a poor
Highland Highlands or uplands are areas of high elevation such as a mountainous region, elevated mountainous plateau or high hills. Generally speaking, upland (or uplands) refers to ranges of hills, typically from up to while highland (or highlands) is ...
family that was at least partly
Gaelic Gaelic is an adjective that means "pertaining to the Gaels". As a noun it refers to the group of languages spoken by the Gaels, or to any one of the languages individually. Gaelic languages are spoken in Ireland, Scotland, the Isle of Man, and Ca ...
-speaking. Hugh's father died when he was still an infant, and Hugh was educated largely thanks to the efforts of his elder brother
Malcolm MacColl Malcolm MacColl (27 March 1831 – 5 April 1907) was a Scottish cleric and publicist, noted for his views on Islam and the Eastern Question. Early life MacColl was a native Scots Gaelic speaker, the son of a poor crofter or labourer in Glenfin ...
, an
Episcopalian Anglicanism is a Western Christian tradition that has developed from the practices, liturgy, and identity of the Church of England following the English Reformation, in the context of the Protestant Reformation in Europe. It is one of the l ...
clergyman and friend and political ally of William Ewart Gladstone. Early in his acquaintanceship with Gladstone, Malcolm MacColl persuaded the Liberal politician to provide funds for Hugh's education at Oxford. It was proposed to send him to Oxford University's
St. Edmund Hall St Edmund Hall (sometimes known as The Hall or informally as Teddy Hall) is a Colleges of the University of Oxford, constituent college of the University of Oxford. The college claims to be "the oldest surviving academic society to house and ed ...
, but Gladstone made this conditional on Hugh MacColl agreeing to take orders in the Church of England. Hugh MacColl refused this condition and, as a result, never obtained a university education, which may have limited his contribution to philosophy, and certainly prevented him from ever obtaining a formal academic position. After a few years working in different areas of Great Britain, MacColl relocated to Boulogne-sur-Mer, in France on the Channel, where he developed the greater part of his work and became a
French citizen French nationality law is historically based on the principles of '' jus soli'' (Latin for "right of soil") and '' jus sanguinis'', according to Ernest Renan's definition, in opposition to the German definition of nationality, ''jus sanguinis'' ...
. MacColl was not obscure during his time. He was a lifelong regular contributor to the ''Educational Times''. His correspondents included the logicians William Stanley Jevons and Charles Sanders Peirce. He also corresponded, and argued in print, with the young Bertrand Russell, and reviewed
Alfred North Whitehead Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He is best known as the defining figure of the philosophical school known as process philosophy, which today has found applicat ...
's 1898 ''Universal Algebra'' for ''Mind'' magazine.


Works

He is known for three main accomplishments: * During 1877–1879, while working out a problem involving
integration Integration may refer to: Biology *Multisensory integration *Path integration * Pre-integration complex, viral genetic material used to insert a viral genome into a host genome *DNA integration, by means of site-specific recombinase technology, ...
, he published a four-part article establishing the first known variant of the propositional calculus, terming it the "calculus of equivalent statements", preceding Gottlob Frege's '' Begriffsschrift''. He subsequently published 11 articles in ''Mind'' magazine, during the period 1880–1908, and a text, in an effort to attract the attention of philosophers to his work. * Clarence Irving Lewis credited MacColl's late work on the nature of implication as the source of the basic ideas of Lewis's innovative work in
modal logic Modal logic is a collection of formal systems developed to represent statements about necessity and possibility. It plays a major role in philosophy of language, epistemology, metaphysics, and natural language semantics. Modal logics extend other ...
. * MacColl's work represents one of the first treatments of logical pluralism where he explores the possibilities of modal logic, logic of fiction, connexive logic, many-valued logic and
probability logic Probabilistic logic (also probability logic and probabilistic reasoning) involves the use of probability and logic to deal with uncertain situations. Probabilistic logic extends traditional logic truth tables with probabilistic expressions. A diffi ...
. MacColl also published two novels, ''
Mr. Stranger's Sealed Packet '' Mr. Stranger's Sealed Packet'' is a short novel by Hugh MacColl Hugh MacColl (before April 1885 spelled as Hugh McColl; 1831–1909) was a Scottish mathematician, logician and novelist. Life MacColl was the youngest son of a poor Highland ...
'' (1889), concerning a journey to Mars and a utopian Martian society, and ''Ednor Whitlock'' (1891), dealing with a crisis of faith occasioned by exposure to new scientific ideas. While described by a recent critic as "best left unread",Stein Haugom Olsen, "Why Hugh MacColl is not, and will never be, part of any literary canon" i
''The Quality of Literature: Linguistic Studies in Literary Evaluation''
ed. Willie van Peer,
John Benjamins Publishing Company John Benjamins Publishing Company is an independent academic publisher in social sciences and humanities with its head office in Amsterdam, Netherlands. The company was founded in the 1960s by John and Claire Benjamins and is currently managed ...
, 2008.
the novels reveal social and moral values to which the author gave full expression in his 1909 publication ''Man's Origin, Destiny, and Duty'', an apology for Christianity.


Legacy

There is presently a long-term MacColl Project, a joint venture of Greifswald University in Germany and the University of Oslo, which intends to publish a critical edition of his work. Furthermore, the group of logic and epistemology at the
University of Lille The University of Lille (french: Université de Lille, abbreviated as ULille, UDL or univ-lille) is a French public research university based in Lille, Hauts-de-France. It has its origins in the University of Douai (1559), and resulted from the m ...
(France) develop MacColl's suggestions for a dynamic
free logic A free logic is a logic with fewer existential presuppositions than classical logic. Free logics may allow for terms that do not denote any object. Free logics may also allow models that have an empty domain. A free logic with the latter propert ...
. The December 1999 issue of the magazine ''
Nordic Journal of Philosophical Logic Nordic most commonly refers to: * Nordic countries, written in plural as Nordics, the northwestern European countries, including Scandinavia, Fennoscandia and the North Atlantic * Scandinavia, a cultural, historical and ethno-linguistic region ...
'' published the proceedings of a 1998 conference devoted to MacColl's work.


See also

*
Quine–McCluskey algorithm The Quine–McCluskey algorithm (QMC), also known as the method of prime implicants, is a method used for minimization of Boolean functions that was developed by Willard V. Quine in 1952 and extended by Edward J. McCluskey in 1956. As a genera ...


References


Further reading

* Rahman, S. & Redmond, J., 2008. "Hugh MacColl and the Birth of Logical Pluralism". In: ''Handbook of History of Logic''. Elsevier, vol. 4. Discusses MacColl's contributions to philosophy of language and logic including modal logic, logic of fictions and modal logic. * Rahman, S. & Redmond, J., 2007. ''Hugh MacColl. An Overview of his Logical Work with Anthology''. College Publications. Contains a long introduction to MacColl's logic and reprints of his main logical work. * Kneebone, G., 2001 (1963). ''Mathematical Logic and the Foundations of Mathematics''. Dover. Contains a brief introduction to the "calculus of equivalent statements." * *
Ivor Grattan-Guinness Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic. Life Grattan-Guinness was born in Bakewell, England; his father was a mathematics teacher and educational administrator. He gained his bac ...
, 2000. ''The Search for Mathematical Roots 1870-1940''. Princeton Uni. Press. * * * *


External links

*
Special Hugh MacColl issue
of the ''
Nordic Journal of Philosophical Logic Nordic most commonly refers to: * Nordic countries, written in plural as Nordics, the northwestern European countries, including Scandinavia, Fennoscandia and the North Atlantic * Scandinavia, a cultural, historical and ethno-linguistic region ...
'' (Vol. 3 no. 1) {{DEFAULTSORT:Maccoll, Hugh Scottish mathematicians Scottish logicians 1831 births 1909 deaths Scottish philosophers Scottish novelists 19th-century Scottish people Scottish science fiction writers 19th-century Scottish novelists