John Venn, FRS,FSA (4 August 1834 – 4 April 1923) was an English mathematician, logician and philosopher noted for introducing Venn diagrams, which are used in logic, set theory, probability, statistics, and computer science. In 1866, Venn published The Logic of Chance, a groundbreaking book which espoused the frequency theory of probability, 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's theories in the 1881 work Symbolic Logic, where he highlighted what would become known as Venn diagrams.
John Venn FRS FSA | |
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| Born | 4 August 1834 Kingston upon Hull, Yorkshire, England |
| Died | 4 April 1923 (aged 88) Cambridge, England |
| Alma mater | Gonville and Caius College, Cambridge |
| Known for |
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| Awards | Fellow of the Royal Society (1883) |
| Scientific career | |
| Fields | |
| Institutions | Gonville and Caius College, Cambridge |
| Signature | |
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Early life
John Venn was born on 4 August 1834 in Kingston upon Hull, Yorkshire, 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. 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 of the abolitionist movement, in Clapham.
He began his education in London 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. He found the Mathematical Tripos 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 in 1859, serving first at the church in Cheshunt, Hertfordshire, and later in Mortlake, Surrey.
In 1862, he returned to Cambridge as a lecturer in moral science, studying and teaching political economy, philosophy, probability theory and logic. 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 diagrams, 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 was incompatible with his philosophical beliefs.
In 1903 he was elected President of the college, a post he held until his death.
I began at once somewhat more steady work on the subjects and books which I should have to lecture on. I now first hit upon the diagrammatical device of representing propositions by inclusive and exclusive circles. Of course the device was not new then, but it was so obviously representative of the way in which any one, who approached the subject from the mathematical side, would attempt to visualise propositions, that it was forced upon me almost at once.
— John Venn
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 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, and in 1884, he was awarded a Sc.D. by Cambridge.
He died on 4 April 1923.
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.
Memorials
- In 2017 the Drypool Bridge in Hull was decorated with intersecting circles, in honour of Venn and an unofficial 'blue plaque' is installed near the same location on Clarence Street.
- Venn is commemorated at the University of Hull by the Venn Building.
- A stained glass window in the dining hall of Gonville and Caius College, Cambridge, commemorates Venn's work.
- In commemoration of the 180th anniversary of Venn's birth, on 4 August 2014, Google replaced its normal logo on global search pages with an interactive and animated Google Doodle that incorporated the use of a Venn diagram.
- Venn Street in Clapham, London, which was the home of his grandfather, shows a Venn diagram on the street sign.
Publications
Venn compiled Alumni Cantabrigienses, a biographical register of former members of the University of Cambridge. It was edited by Venn and his son John Archibald Venn and published by Cambridge University Press in ten volumes between 1922 and 1953.
His other works include:
- Venn, John (January 1876). "Consistency and Real Inference". Mind. 1 (1).
- Venn, John (1881). Symbolic Logic. London: Macmillan and Company. ISBN 978-1-4212-6044-0.
- Venn, John (1880). "On the Employment of Geometrical Diagrams for the Sensible Representation of Logical Propositions". Proceedings of the Cambridge Philosophical Society. 4: 47–59.
- Venn, John (1866). The Logic of Chance: An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Application to Moral and Social Science (First ed.). London and Cambridge: Macmillan.. Two further editions were published.
- Venn, John (1901). Caius College. London: F. E. Robinson & Co.
- Caius, John (1904). Venn, John (ed.). The Annals of Gonville and Caius College. Printed for the Cambridge Antiquarian Society, sold by Deighton, Bell & Co.
- Venn, John (1904). Annals of a Clerical Family: Being Some Account of the Family and Descendants of William Venn, Vicar of Otterton, Devon, 1600–1621. Cambridge: Cambridge University Press. ISBN 978-1-108-04492-9.
- Venn, John (1870). On Some of the Characteristics of Belief. London and Cambridge: Macmillan and Co.
References
- Venn, John (July 1880). "I. On the Diagrammatic and Mechanical Representation of Propositions and Reasonings" (PDF). The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 5. 10 (59): 1–18. doi:10.1080/14786448008626877. Archived (PDF) from the original on 16 May 2017. Google Books
- Anonymous (1926). "Obituary Notices of Fellows Deceased: Rudolph Messel, Frederick Thomas Trouton, John Venn, John Young Buchanan, Oliver Heaviside, Andrew Gray". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 110 (756): i–v. doi:10.1098/rspa.1926.0036.
- Pickles, John D. "Venn, John Archibald". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/40972. (Subscription or UK public library membership required.)
- Gibbins, John R. (2004) "Venn, John (1834–1923)", Oxford Dictionary of National Biography, Oxford University Press. doi:10.1093/ref:odnb/36639
- Duignan, Brian (22 May 2014). "John Venn (English logician and philosopher)". Encyclopædia Britannica. Retrieved 3 August 2014.
- Anonymous (20 January 2012). "John Venn – Mathematician Biography, Facts and Pictures". Famous-mathematicians.com. Retrieved 3 August 2014.
- Anonymous (October 2003). "Venn biography". School of Mathematics and Statistics University of St Andrews, Scotland. Retrieved 3 August 2014.
- Highgate School Roll 1833–1912, Unwin Brothers Ltd 1913
- 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.
- Soylent Communications (2014). "John Venn". Retrieved 3 August 2014.
- Edwards, Anthony William Fairbank (2004). Cogwheels of the Mind: The Story of Venn Diagrams. Baltimore, Maryland, USA: Johns Hopkins University Press. p. 3. ISBN 978-0-8018-7434-5.
- "Cambridge University engineers recreate historic bowling machine". Daily Telegraph. 10 June 2024. Retrieved 10 June 2024.
- Gordon-Farleigh, Neve (10 June 2024). "Engineers recreate 1900s cricket bowling machine". BBC News. Retrieved 11 June 2024.
- "Portrait of John Venn". Royal Society Picture Library. Royal Society. Retrieved 2 August 2018.
- Edwards, A. W. F. (2009). "Statistical Methods for Evolutionary Trees". Genetics. 183 (1): 5–12. doi:10.1534/genetics.109.107847. PMC 2746166. PMID 19797062.
- "Cambridge Independent Press". Cambridge Independent Press. 6 December 1884. Retrieved 13 April 2017.
- "Cambridge Independent Press". Cambridge Independent Press. 29 October 1909. Retrieved 13 April 2017.
- "Cambridge Independent Press". Cambridge Independent Press. 13 February 1886. Retrieved 13 April 2017.
- "Cambridge Independent Press". Cambridge Independent Press. 16 October 1908. Retrieved 13 April 2017.
- "Cambridge Independent Press". Cambridge Independent Press. 11 July 1885. Retrieved 13 April 2017.
- "Cambridge Independent Press". Cambridge Independent Press. 19 September 1885. Retrieved 13 April 2017.
- Young, Angus (5 June 2017). "John Venn inspired £325k makeover of Hull's Drypool Bridge is now complete". Hull Daily Mail. Retrieved 12 November 2017.
- "John Venn". Carnegie Heritage Centre. Archived from the original on 26 November 2017. Retrieved 2 August 2018.
- Antonimuthu, Rajamanickam (2014). "John Venn Google Doodle". YouTube. Archived from the original on 12 December 2021.
- "4 August: Remembering John Venn on Birthday". Observer Voice. 11 August 2023. Retrieved 11 August 2023.
- "Rev and Dr Venn". London Remembers. Retrieved 2 August 2018.
- Venn, John (1922). Alumni Cantabrigienses: A Biographical List of All Known Students, Graduates and Holders of Office at the University of Cambridge, from the Earliest Times to 1900. Cambridge: Cambridge University Press.
- Venn, John (1876). The Logic of Chance: An Essay on the Foundations and Province of the Theory of Probability, with Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science (Second ed.). Macmillan.
- Venn, John (1888). The logic of chance: an essay on the foundations and province of the theory of probability, with especial reference to its logical bearings and its application to moral and social science, and to statistics (Third ed.). Macmillan.
External links
- A Cambridge Alumni Database
- The Venn archives Archived 21 October 2017 at the Wayback Machine clarify the confusing timeline of the various Venns.
- Obituary of John Venn (New York Times)
- Portrait of Venn by C. E. Brock, and a link to a site about Venn
- Another (clearer) view of the Venn stained glass window
- John Venn at Find a Grave
John Venn FRS FSA 4 August 1834 4 April 1923 was an English mathematician logician and philosopher noted for introducing Venn diagrams which are used in logic set theory probability statistics and computer science In 1866 Venn published The Logic of Chance a groundbreaking book which espoused the frequency theory of probability 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 s theories in the 1881 work Symbolic Logic where he highlighted what would become known as Venn diagrams John VennFRS FSABorn 1834 08 04 4 August 1834 Kingston upon Hull Yorkshire EnglandDied4 April 1923 1923 04 04 aged 88 Cambridge EnglandAlma materGonville and Caius College CambridgeKnown forFrequentist probabilityReference class problemVenn diagramAwardsFellow of the Royal Society 1883 Scientific careerFieldsMathematicsLogicPhilosophyInstitutionsGonville and Caius College CambridgeSignatureThe Venn Building University of HullStained glass window at Gonville and Caius College Cambridge commemorating Venn and the Venn diagramAlternative heritage plaque for John Venn in HullEarly lifeJohn Venn was born on 4 August 1834 in Kingston upon Hull Yorkshire 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 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 of the abolitionist movement in Clapham He began his education in London 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 careerIn October 1853 he went to Gonville and Caius College Cambridge He found the Mathematical Tripos 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 in 1859 serving first at the church in Cheshunt Hertfordshire and later in Mortlake Surrey In 1862 he returned to Cambridge as a lecturer in moral science studying and teaching political economy philosophy probability theory and logic 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 diagrams 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 was incompatible with his philosophical beliefs In 1903 he was elected President of the college a post he held until his death I began at once somewhat more steady work on the subjects and books which I should have to lecture on I now first hit upon the diagrammatical device of representing propositions by inclusive and exclusive circles Of course the device was not new then but it was so obviously representative of the way in which any one who approached the subject from the mathematical side would attempt to visualise propositions that it was forced upon me almost at once John Venn 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 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 and in 1884 he was awarded a Sc D by Cambridge He died on 4 April 1923 Civic and personal lifeIn 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 MemorialsIn 2017 the Drypool Bridge in Hull was decorated with intersecting circles in honour of Venn and an unofficial blue plaque is installed near the same location on Clarence Street Venn is commemorated at the University of Hull by the Venn Building A stained glass window in the dining hall of Gonville and Caius College Cambridge commemorates Venn s work In commemoration of the 180th anniversary of Venn s birth on 4 August 2014 Google replaced its normal logo on global search pages with an interactive and animated Google Doodle that incorporated the use of a Venn diagram Venn Street in Clapham London which was the home of his grandfather shows a Venn diagram on the street sign PublicationsVenn compiled Alumni Cantabrigienses a biographical register of former members of the University of Cambridge It was edited by Venn and his son John Archibald Venn and published by Cambridge University Press in ten volumes between 1922 and 1953 His other works include Venn John January 1876 Consistency and Real Inference Mind 1 1 Venn John 1881 Symbolic Logic London Macmillan and Company ISBN 978 1 4212 6044 0 Venn John 1880 On the Employment of Geometrical Diagrams for the Sensible Representation of Logical Propositions Proceedings of the Cambridge Philosophical Society 4 47 59 Venn John 1866 The Logic of Chance An Essay on the Foundations and Province of the Theory of Probability with Especial Reference to Its Application to Moral and Social Science First ed London and Cambridge Macmillan Two further editions were published Venn John 1901 Caius College London F E Robinson amp Co Caius John 1904 Venn John ed The Annals of Gonville and Caius College Printed for the Cambridge Antiquarian Society sold by Deighton Bell amp Co Venn John 1904 Annals of a Clerical Family Being Some Account of the Family and Descendants of William Venn Vicar of Otterton Devon 1600 1621 Cambridge Cambridge University Press ISBN 978 1 108 04492 9 Venn John 1870 On Some of the Characteristics of Belief London and Cambridge Macmillan and Co ReferencesVenn John July 1880 I On the Diagrammatic and Mechanical Representation of Propositions and Reasonings PDF The London Edinburgh and Dublin Philosophical Magazine and Journal of Science 5 10 59 1 18 doi 10 1080 14786448008626877 Archived PDF from the original on 16 May 2017 Google Books Anonymous 1926 Obituary Notices of Fellows Deceased Rudolph Messel Frederick Thomas Trouton John Venn John Young Buchanan Oliver Heaviside Andrew Gray Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 110 756 i v doi 10 1098 rspa 1926 0036 Pickles John D Venn John Archibald Oxford Dictionary of National Biography online ed Oxford University Press doi 10 1093 ref odnb 40972 Subscription or UK public library membership required Gibbins John R 2004 Venn John 1834 1923 Oxford Dictionary of National Biography Oxford University Press doi 10 1093 ref odnb 36639 Duignan Brian 22 May 2014 John Venn English logician and philosopher Encyclopaedia Britannica Retrieved 3 August 2014 Anonymous 20 January 2012 John Venn Mathematician Biography Facts and Pictures Famous mathematicians com Retrieved 3 August 2014 Anonymous October 2003 Venn biography School of Mathematics and Statistics University of St Andrews Scotland Retrieved 3 August 2014 Highgate School Roll 1833 1912 Unwin Brothers Ltd 1913 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 Soylent Communications 2014 John Venn Retrieved 3 August 2014 Edwards Anthony William Fairbank 2004 Cogwheels of the Mind The Story of Venn Diagrams Baltimore Maryland USA Johns Hopkins University Press p 3 ISBN 978 0 8018 7434 5 Cambridge University engineers recreate historic bowling machine Daily Telegraph 10 June 2024 Retrieved 10 June 2024 Gordon Farleigh Neve 10 June 2024 Engineers recreate 1900s cricket bowling machine BBC News Retrieved 11 June 2024 Portrait of John Venn Royal Society Picture Library Royal Society Retrieved 2 August 2018 Edwards A W F 2009 Statistical Methods for Evolutionary Trees Genetics 183 1 5 12 doi 10 1534 genetics 109 107847 PMC 2746166 PMID 19797062 Cambridge Independent Press Cambridge Independent Press 6 December 1884 Retrieved 13 April 2017 Cambridge Independent Press Cambridge Independent Press 29 October 1909 Retrieved 13 April 2017 Cambridge Independent Press Cambridge Independent Press 13 February 1886 Retrieved 13 April 2017 Cambridge Independent Press Cambridge Independent Press 16 October 1908 Retrieved 13 April 2017 Cambridge Independent Press Cambridge Independent Press 11 July 1885 Retrieved 13 April 2017 Cambridge Independent Press Cambridge Independent Press 19 September 1885 Retrieved 13 April 2017 Young Angus 5 June 2017 John Venn inspired 325k makeover of Hull s Drypool Bridge is now complete Hull Daily Mail Retrieved 12 November 2017 John Venn Carnegie Heritage Centre Archived from the original on 26 November 2017 Retrieved 2 August 2018 Antonimuthu Rajamanickam 2014 John Venn Google Doodle YouTube Archived from the original on 12 December 2021 4 August Remembering John Venn on Birthday Observer Voice 11 August 2023 Retrieved 11 August 2023 Rev and Dr Venn London Remembers Retrieved 2 August 2018 Venn John 1922 Alumni Cantabrigienses A Biographical List of All Known Students Graduates and Holders of Office at the University of Cambridge from the Earliest Times to 1900 Cambridge Cambridge University Press Venn John 1876 The Logic of Chance An Essay on the Foundations and Province of the Theory of Probability with Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science Second ed Macmillan Venn John 1888 The logic of chance an essay on the foundations and province of the theory of probability with especial reference to its logical bearings and its application to moral and social science and to statistics Third ed Macmillan External linksWikimedia Commons has media related to John Venn Wikiquote has quotations related to John Venn A Cambridge Alumni Database The Venn archives Archived 21 October 2017 at the Wayback Machine clarify the confusing timeline of the various Venns Obituary of John Venn New York Times Portrait of Venn by C E Brock and a link to a site about Venn Another clearer view of the Venn stained glass window John Venn at Find a Grave
