
John Venn,
FRS,
FSA (4 August 1834 – 4 April 1923) was an English
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
,
logician and
philosopher
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
noted for introducing
Venn diagram
A Venn diagram is a widely used diagram style that shows the logical relation between set (mathematics), sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple ...
s, which are used in
logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
,
set theory
Set theory is the branch of mathematical logic that studies Set (mathematics), sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory – as a branch of mathema ...
,
probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
,
statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
, and
computer science
Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, ...
. In 1866, Venn published ''The Logic of Chance'', a groundbreaking book which espoused the frequency theory of
probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
, arguing that probability should be determined by how often something is forecast to occur as opposed to "educated" assumptions. Venn then further developed
George Boole
George Boole ( ; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland. H ...
's theories in the 1881 work ''Symbolic Logic'', where he highlighted what would become known as Venn diagrams.
Early life
John Venn was born on 4 August 1834 in
Kingston upon Hull
Kingston upon Hull, usually shortened to Hull, is a historic maritime city and unitary authorities of England, unitary authority area in the East Riding of Yorkshire, England. It lies upon the River Hull at its confluence with the Humber Est ...
,
Yorkshire
Yorkshire ( ) is an area of Northern England which was History of Yorkshire, historically a county. Despite no longer being used for administration, Yorkshire retains a strong regional identity. The county was named after its county town, the ...
,
to Martha Sykes and Rev.
Henry Venn, who was the rector of the parish of
Drypool. His mother died when he was three years old.
Venn was descended from a long line of
church evangelicals, including his grandfather
John Venn
John Venn, Fellow of the Royal Society, FRS, Fellow of the Society of Antiquaries of London, FSA (4 August 1834 – 4 April 1923) was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in l ...
.
Venn was brought up in a very strict atmosphere at home. His father Henry had played a significant part in the Evangelical movement and he was also the secretary of the Society for Missions to Africa and the East, establishing eight bishoprics overseas. His grandfather was pastor to
William Wilberforce
William Wilberforce (24 August 1759 – 29 July 1833) was a British politician, philanthropist, and a leader of the movement to abolish the Atlantic slave trade. A native of Kingston upon Hull, Yorkshire, he began his political career in 1780 ...
of the abolitionist movement, in Clapham.
He began his education in
London
London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
joining Sir Roger Cholmeley's School, now known as
Highgate School, with his brother Henry in September 1846. He moved on to Islington Proprietary School.
University life and career
In October 1853, he went to
Gonville and Caius College, Cambridge
Gonville and Caius College, commonly known as Caius ( ), is a constituent college of the University of Cambridge in Cambridge, England. Founded in 1348 by Edmund Gonville, it is the fourth-oldest of the University of Cambridge's 31 colleges and ...
. He found the
Mathematical Tripos
The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics, University of Cambridge, Faculty of Mathematics at the University of Cambridge.
Origin
In its classical nineteenth-century form, the tripos was a di ...
unsuited to his mathematical style, complaining that the handful of private tutors he worked with "always had the Tripos prominently in view". In contrast, Venn wished to investigate interesting ideas beyond the syllabus. Nonetheless, he was Sixth
Wrangler upon sitting the exams in January 1857.
Venn experienced, in his words, a "reaction and disgust" to the Tripos which led him to sell his books on mathematics and state that he would never return to the subject.
Following his family vocation, he was ordained as an
Anglican priest
A priest is a religious leader authorized to perform the sacred rituals of a religion, especially as a mediatory agent between humans and one or more deity, deities. They also have the authority or power to administer religious rites; in parti ...
in 1859, serving first at the church in
Cheshunt
Cheshunt (/ˈtʃɛzənt/ CHEZ-ənt) is a town in the Borough of Broxbourne, Hertfordshire, England, situated within the London commuter belt approximately north of Central London. The town lies on the River Lea and Lee Navigation, bordering th ...
, Hertfordshire, and later in
Mortlake
Mortlake is a suburban district of the London Borough of Richmond upon Thames on the south bank of the River Thames between Kew and Barnes, London, Barnes. Historically it was part of Surrey and until 1965 was in the Municipal Borough of Barnes ...
, Surrey.
In 1862, he returned to Cambridge as a lecturer in moral science, studying and teaching
political economy
Political or comparative economy is a branch of political science and economics studying economic systems (e.g. Marketplace, markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Wi ...
,
philosophy
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
,
probability theory
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expre ...
and
logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
.
He reacquainted himself with logic and became a leading scholar in the field through his textbooks ''The Logic of Chance'' (1866), ''Symbolic Logic'' (1881) and ''The Principles of Empirical or Inductive Logic'' (1889). His academic writing was influenced by his teaching: he saw
Venn diagram
A Venn diagram is a widely used diagram style that shows the logical relation between set (mathematics), sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple ...
s, which he called "
Eulerian Circles" and introduced in 1880, as a pedagogical tool. Venn was known for teaching students across multiple
Cambridge colleges, which was rare at the time.
In 1883, he resigned from the clergy, having concluded that
Anglicanism
Anglicanism, also known as Episcopalianism in some countries, is a Western Christianity, Western Christian tradition which developed from the practices, liturgy, and identity of the Church of England following the English Reformation, in the ...
was incompatible with his philosophical beliefs.
In 1903 he was elected President of the college, a post he held until his death.
With his son, Venn developed a
bowling machine that was able to impart spin to a cricket ball. When members of the
Australian cricket team
The Australia men's national cricket team represents Australia in international cricket. Along with England, it is the joint oldest team in Test cricket history, playing and winning the first ever Test match in 1877; the team also plays One ...
visited Cambridge in June 1909, Venn’s machine bowled
Victor Trumper, one of their star batsmen. The machine was recreated in 2024 by the university engineering department.
In 1883, Venn was elected a Fellow of the
Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
, and in 1884, he was awarded a
Sc.D.
A Doctor of Science (; most commonly abbreviated DSc or ScD) is a science doctorate awarded in a number of countries throughout the world.
Africa
Algeria and Morocco
In Algeria, Morocco, Libya and Tunisia, all universities accredited by the s ...
by Cambridge.
He died on 4 April 1923.
Buried at Trumpington churchyard extension, at the junction of Shelford Road and Hauxton Road. Grave located about halfway along path, on East side, shaded by trees.
Civic and personal life
In 1868, Venn married Susanna Carnegie Edmonstone with whom he had one son,
John Archibald Venn. His son entered the mathematics field as well and became Vice-Chancellor of Cambridge University.
Venn was an active member of civic society in Cambridge. He was a committee member of the Cambridge Charitable Organisations Society, elected vice-chairman in December 1884. Venn was president of the
Cambridge Antiquarian Society in 1908–1909. He is also listed as a vice president of the Cambridge Provident Medical Institution.
Venn was a supporter of votes for women. He co-signed with his wife Susanna, a letter to the ''Cambridge Independent Press'', published 16 October 1908, encouraging women to put themselves forward as candidates for the Cambridge Town Council elections. The letter was co-sponsored by
Maud Darwin and
Florence Ada Keynes.
Venn was also a gardener, regularly taking part in local competitions organised by groups such as the Cambridgeshire Horticultural Society, winning prizes for his roses in July 1885 and for his white carrots later that September.
Lived at Vicarsbrook, Chaucer Road, Cambridge from the early 1900s until his death in April 1923.
Memorials
* In 2017 the
Drypool Bridge in Hull was decorated with intersecting circles, in honour of Venn and an unofficial '
blue plaque
A blue plaque is a permanent sign installed in a public place in the United Kingdom, and certain other countries and territories, to commemorate a link between that location and a famous person, event, or former building on the site, serving a ...
' is installed near the same location on Clarence Street.
* Venn is commemorated at the
University of Hull
The University of Hull is a public research university in Kingston upon Hull, a city in the East Riding of Yorkshire, England. It was founded in 1927 as University College Hull. The main university campus is located in Hull and is home to the Hu ...
by the Venn Building.
* A
stained glass
Stained glass refers to coloured glass as a material or art and architectural works created from it. Although it is traditionally made in flat panels and used as windows, the creations of modern stained glass artists also include three-dimensio ...
window in the dining hall of Gonville and Caius College, Cambridge, commemorates Venn's work.
* Venn Street in Clapham, London, which was the home of his grandfather, shows a Venn diagram on the street sign.
* In March 2019, one of the rooms in Clay Farm Centre, Trumpington, south Cambridge was named the Venn Touchdown.
Publications
Venn compiled ''
Alumni Cantabrigienses'', a biographical register of former members of the
University of Cambridge
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
.
It was edited by Venn and his son John Archibald Venn and published by
Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessme ...
in ten volumes between 1922 and 1953.
His other works include:
*
*
*
* . Two further editions were published.
*
*
*
*
References
External links
A Cambridge Alumni Database
clarify the confusing timeline of the various Venns.
(New York Times)
by
C. E. Brock
Charles Edmund Brock (5 February 1870 – 28 February 1938) was a widely published English painter, line artist and book illustrator, who signed most of his work C. E. Brock. He was the eldest of The Brocks of Cambridge, four artist brothers, ...
, and a link to a site about Venn
* Another (clearer) view of th
Venn stained glass window*
{{DEFAULTSORT:Venn, John
1834 births
1923 deaths
Mathematicians from Kingston upon Hull
People educated at Highgate School
Alumni of Gonville and Caius College, Cambridge
19th-century English philosophers
English logicians
19th-century English Anglican priests
Fellows of Gonville and Caius College, Cambridge
Fellows of the Royal Society
People associated with the University of Hull
Fellows of the Society of Antiquaries of London
People educated at Islington Proprietary School
19th-century English mathematicians