Nationality American Fields Mathematics, Philosophy Doctoral advisor Alfred Tarski | Role Mathematician Name Richard Montague | |
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Born September 20, 1930
Stockton, California ( 1930-09-20 ) Institutions University of California, Los Angeles Alma mater University of California, Berkeley Doctoral students Nino Cocchiarella
Rudolf Grewe
Hans Kamp Died March 7, 1971, Los Angeles, California, United States Education University of California, Berkeley Books Within the System, Formal Philosophy; Selected Papers of Richard Montague Similar People Alfred Tarski, Saul Kripke, Rudolf Carnap, David Lewis, John Perry | ||
Richard Merritt Montague (September 20, 1930 – March 7, 1971) was an American mathematician and philosopher.
Career
At the University of California, Berkeley, Montague earned a B.A. in Philosophy in 1950, an M.A. in Mathematics in 1953, and a Ph.D. in Philosophy 1957, the latter under the direction of the mathematician and logician Alfred Tarski. Montague, one of Tarski's most accomplished American students, spent his entire career teaching in the UCLA Department of Philosophy, where he supervised the dissertations of Nino Cocchiarella and Hans Kamp.
Montague wrote on the foundations of logic and set theory, as would befit a student of Tarski. His Ph.D. dissertation, titled Contributions to the Axiomatic Foundations of Set Theory, contained the first proof that all possible axiomatizations of the standard axiomatic set theory ZFC must contain infinitely many axioms. In other words, ZFC cannot be finitely axiomatized.
He pioneered a logical approach to natural language semantics which became known as Montague grammar. This approach to language has been especially influential among certain computational linguists—perhaps more so than among more traditional philosophers of language. In particular, Montague's influence lives on in grammar approaches like categorial grammar (such as Unification Categorial Grammar, Left-Associate Grammar, or Combinatory Categorial Grammar), which attempt a derivation of syntactic and semantic representation in tandem and the semantics of quantifiers, scope and discourse (Hans Kamp, a student of Montague, co-developed Discourse Representation Theory).
Montague was an accomplished organist and a successful real estate investor. He died violently in his own home; the crime is unsolved to this day. Anita Feferman and Solomon Feferman argue that he usually went to bars "cruising" and bringing people home with him. On the day that he was murdered, he brought home several people "for some kind of soirée", but they instead robbed his house and strangled him.