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William Ernest Johnson

William Ernest Johnson, FBA (23 June 1858 – 14 January 1931), usually cited as W. E. Johnson, was a British philosopher, logician and economic theorist.[2] He is mainly remembered for his 3 volume Logic which introduced the concept of exchangeability.[3][4]

For other people named William Johnson, see William Johnson (disambiguation).

W. E. Johnson

William Ernest Johnson

(1858-06-23)23 June 1858

14 January 1931(1931-01-14) (aged 72)

Northampton, England, United Kingdom

Philosopher, logician and economist

Barbara Keymer Heaton

Life and career[edit]

Johnson was born in Cambridge on 23 June 1858 to William Henry Farthing Johnson and his wife, Harriet (née Brimley).[5] He was their fifth child.[5] The family were Baptists and political liberals.[6]


He attended the Llandaff House School, Cambridge where his father was the proprietor and headteacher, then the Perse School, Cambridge, and the Liverpool Royal Institution School.[5] At the age of around eight he became seriously ill and developed severe asthma and lifelong ill health. Due to this his education was frequently disrupted.[6]


In 1879 he entered King's College, Cambridge to read mathematics having won a scholarship and was placed 11th Wrangler in 1882.[7] He stayed on to study for the Moral Sciences Tripos from which he graduated in 1883 with a First Class degree.[7] He was also a Cambridge Apostle.[8]


In 1895 he married Barbara Keymer. After her sudden death in 1904 his sister Fanny moved in with him to care for his two sons.[5]


Having failed to win a prize fellowship, he taught mathematics. His first teaching post was as a lecturer in Psychology and Education at the Cambridge Women's Training College, which he held for several years.[6] He was a University Teacher of Theory of Education 1893-98 and, from 1896 until 1901, University Lecturer in Moral Sciences at the University of Cambridge.[6][7] In 1902 he was elected a Fellow of King's College, and appointed to the (newly-created) Sidgwick Lecturership, positions he held until his death.[7][5] In 1923 he was elected a Fellow of the British Academy.[7][5]


Johnson's students included I. A. Richards,[9] John Maynard Keynes, Frank Ramsey, Dorothy Wrinch,[4] C. D. Broad,[2] R. B. Braithwaite[6] and Susan Stebbing.[10] In 1912 (at Bertrand Russell's request) Johnson also attempted to 'coach' Ludwig Wittgenstein in logic but this was an arrangement that was both brief and unsuccessful.[11]


He died in St Andrew's Hospital, Northampton, on 14 January 1931 and is buried at Grantchester, Cambridgeshire.[5]

(1889).[27]

Treatise on Trigonometry

"The Logical Calculus," , Vol 1 (1892): [In 3 parts: pp. 3–30, pp. 235–250, pp. 340–357][27]

Mind

," Bibliothèque du Congrès International de Philosophie, Volume 3, 1901, Logique et Histoire des Sciences, pp. 185–199.[27]

"Sur la théorie des equations logiques

"," The Economic Journal, Vol. 23, No. 92 (Dec., 1913)[27]

The Pure Theory of Utility Curves

"Analysis of Thinking," Mind, (1918): [in 2 parts: pp. 1–21, pp 133–151][27]

Vol 27

(Cambridge, 1921)[28]

Logic, Part I

, (Cambridge, 1922)[29]

Logic, Part II

, (Cambridge, 1924)[30]

Logic, Part III

Mind, vol. 41, no. 161, 1932, pp. 1–16,

"Probability: The Relations of Proposal to Supposal.,"

Mind, vol. 41, no. 163, 1932, pp. 281–96,

"Probability: Axioms,"

Mind, vol. 41, no. 164, 1932, pp. 409–23

"Probability: The Deductive and Inductive Problems,"

by Walter Stoneman at the National Portrait Gallery, London

1930 photographic portrait of W. E. Johnson

1915 , photo featuring Johnson (with, amongst others, G.E. Moore, Bertrand Russell, Dawes Hicks, W.R. Sorley, Karin Stephen and J. M. E. McTaggart)

Cambridge Moral Science Club

(1966). A Hundred Years of Philosophy. London: Gerald Duckworth And Co. Ltd. [At Internet Archive]

Passmore, John

(2011), Determinates vs. Determinables in the Stanford Encyclopedia of Philosophy.[Archived article now supplanted by Jessica Wilson's Determinables and Determinates (2017)]

Sanford, David H.

(a 'local history' article with information about Johnson's school and ancestors).

The Story of Llandaff House and its Academy