John Lemmon

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Edward John Lemmon (1 June 1930 – 29 July 1966) was a

philosopher born in Sheffield, England. He is most well known for his work on modal logic, particularly his joint text with Dana Scott
published posthumously (Lemmon and Scott, 1977).

Biography

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 the Claremont Graduate School (now Claremont Graduate University). Lemmon died from heart failure
while climbing.

Modal logic

John Lemmon became interested in modal logic when

epistemic modalities that 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 systems 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 Jónsson.

Works

  • 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
  • 1959, "Is There Only One Correct System of Modal Logic?"
    Proceedings of the Aristotelian Society
    , Supplementary Volumes
    , 33:23-40
  • 1962, 'Moral dilemmas'. The Philosophical Review, LXXI
  • 1966, 'Sentences, Statements and Propositions', in B. Williams and A. Montefiore, eds., British Analytical Philosophy, London: Routledge and Kegan Paul, pp.87-107
  • 1967, 'If I Know, Do I Know that I Know?', in A. Stroll, ed., Epistemology, New York: Harper and Rowe, pp54–83.
  • With Dana Scott, 1977. An introduction to modal logic. Oxford: Blackwell.
  • Lemmon, Edward John (1965). Beginning logic. Thomas Nelson. .

References