Hugh MacColl (before April 1885 spelled as Hugh McColl; 1831–1909) was a Scottish mathematician,
logician
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
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, 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
William Ewart Gladstone ( ; 29 December 1809 – 19 May 1898) was a British statesman and Liberal politician. In a career lasting over 60 years, he served for 12 years as Prime Minister of the United Kingdom, spread over four non-conse ...
. Early in his acquaintanceship with Gladstone, Malcolm MacColl persuaded the
Liberal
Liberal or liberalism may refer to:
Politics
* a supporter of liberalism
** Liberalism by country
* an adherent of a Liberal Party
* Liberalism (international relations)
* Sexually liberal feminism
* Social liberalism
Arts, entertainment and m ...
politician to provide funds for Hugh's education at Oxford. It was proposed to send him to Oxford University's
St. Edmund Hall, but Gladstone made this conditional on Hugh MacColl agreeing to take orders in the
Church of England
The Church of England (C of E) is the established Christian church in England and the mother church of the international Anglican Communion. It traces its history to the Christian church recorded as existing in the Roman province of Britain ...
. 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
Boulogne-sur-Mer (; pcd, Boulonne-su-Mér; nl, Bonen; la, Gesoriacum or ''Bononia''), often called just Boulogne (, ), is a coastal city in Northern France. It is a sub-prefecture of the department of Pas-de-Calais. Boulogne lies on the ...
, 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
William Stanley Jevons (; 1 September 183513 August 1882) was an English economist and logician.
Irving Fisher described Jevons's book ''A General Mathematical Theory of Political Economy'' (1862) as the start of the mathematical method in ec ...
and
Charles Sanders Peirce
Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American philosopher, logician, mathematician and scientist who is sometimes known as "the father of pragmatism".
Educated as a chemist and employed as a scientist for t ...
. He also corresponded, and argued in print, with the young
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, ...
, 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
Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations b ...
, terming it the "calculus of equivalent statements", preceding
Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic phil ...
's ''
Begriffsschrift
''Begriffsschrift'' (German for, roughly, "concept-script") is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that book.
''Begriffsschrift'' is usually translated as ''concept writing'' or ''concept notatio ...
''. 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
Clarence Irving Lewis (April 12, 1883 – February 3, 1964), usually cited as C. I. Lewis, was an American academic philosopher. He is considered the progenitor of modern modal logic and the founder of conceptual pragmatism. First a noted logic ...
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
Connexive logic names one class of alternative, or non-classical, logics designed to exclude the paradoxes of material implication. The characteristic that separates connexive logic from other non-classical logics is its acceptance of Aristotle's t ...
,
many-valued logic
Many-valued logic (also multi- or multiple-valued logic) refers to a propositional calculus in which there are more than two truth values. Traditionally, in Aristotle's logical calculus, there were only two possible values (i.e., "true" and "false" ...
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'' (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
Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global pop ...
.
Legacy
There is presently a long-term MacColl Project, a joint venture of
Greifswald University
The University of Greifswald (; german: Universität Greifswald), formerly also known as “Ernst-Moritz-Arndt University of Greifswald“, is a public research university located in Greifswald, Germany, in the state of Mecklenburg-Western Pom ...
in Germany and the
University of Oslo
The University of Oslo ( no, Universitetet i Oslo; la, Universitas Osloensis) is a public research university located in Oslo, Norway. It is the highest ranked and oldest university in Norway. It is consistently ranked among the top universit ...
, which intends to publish a critical edition of his work. Furthermore, the group of logic and
epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics.
Episte ...
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 gener ...
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, 2000. ''The Search for Mathematical Roots 1870-1940''. Princeton Uni. Press.
*
*
*
*
External links
*
Special Hugh MacColl issueof 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