John Lemmon

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For the musician John Lemmon, see The Bogrolls.

Edward John Lemmon (1 June 1930 – 29 July 1966) was a logician and philosopher born in Sheffield, UK. He is most well known for his work on modal logic, particularly his joint text with Dana Scott published posthumously (Lemmon and Scott, 1977).

Lemmon attended King Edward VII School^[1] in Sheffield until 1947, before reading Literae humaniores at Magdalen College, Oxford as an undergraduate, and was appointed Fellow of Trinity College, Oxford in 1957. In 1963, following a visiting professorship in Texas, Lemmon emigrated to the United States to lecture at Claremont Graduate School. Lemmon died from heart failure whilst climbing.

1 Modal logic
2 Contribution to ethics
3 Contribution to proof theory
4 Works by Lemmon
5 References

[edit] Modal logic

John Lemmon became interested in modal logic when Arthur Prior visited Oxford University in 1956 to give the John Locke lectures, later published as his Time and Modality (Prior 1957). Prior returned for twelve months soon after, to lead a small group including Lemmon, Peter Geach and Ivo Thomas (Copeland 2004). John Lemmon became one of the early champions of Prior's distinctive approach to tense logic, and Lemmon's later work on alethtic modality and applications of modal logic to ethics bear the mark of Prior's influence. At this time, Lemmon published a treatment of alethic and epistemic modalities which introduced some systems of non-normal modal logics that have proven to have had lasting interest, the alethic system S0.5 and the epistemic systems E1–E5 linked to the systems S0.5 and Lewis's system S2–S5, but which lack the law of necessitation (Lemmon 1957).

Lemmon was a pioneer of the modern approach to the semantics of modal logic, particularly through his collaboration with Dana Scott, but also became interested in the rival algebraic semantics of modal logic that follows more closely the kind of semantics found in the work of Tarski and Jònson.

[edit] Contribution to ethics

[edit] Contribution to proof theory

[edit] Works by Lemmon

1957. 'New foundations for Lewis modal systems'. Journal of Symbolic Logic 22:176-186.
With Michael Dummett, 1959. 'Modal Logics between S4 and S5'. In Zeitschrifl für Mathematische Logik und Grundlagen der Mathematik, 5:250-264.
With Dana Scott, 1977. An introduction to modal logic. Oxford: Blackwell.
Beginning Logic, Thomas Nelson and Sons, London, 1965.