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Cooper Harold Langford

Cooper Harold Langford (25 August 1895, Dublin, Logan County, Arkansas – 28 August 1964) was an American analytic philosopher and mathematical logician who co-authored the book Symbolic Logic (1932) with C. I. Lewis. He is also known for introducing the Langford–Moore paradox.

Biography

After spending his freshman year at the University of Arkansas, Langford transferred in 1915 to Clark University, where he received his A.B. degree in 1920. His college education was interrupted by World War I in 1917 when he joined the U.S. army and spent 20 months overseas. After receiving his A.B. degree, Langford enrolled in 1920 as a graduate student at Harvard University, where he earned his Ph.D. in psychology under Edwin Boring in 1924. With the aid of a Sheldon Traveling Fellowship, he studied logic and philosophy at Cambridge University during 1924–1925. Upon his return to the U.S., Langford became an instructor at Harvard from 1925 to 1927. After spending two academic years, 1927–1929, as an assistant professor at the University of Washington, he became in the autumn of 1929 an associate professor with tenure in the philosophy department at the University of Michigan. Langford became a full professor at U. Michigan in 1933, remaining there for the rest of his career. In the academic year 1935–1936, he was a Guggenheim fellow, dividing his time between Vienna and Cambridge, England.[1][2]

Langford is famous as co-author of the 1932 book Symbolic Logic and the system of modal logic S5. His doctoral students include Arthur Burks.

In the philosophy of language, Langford is known for the Langford substitution test. The test distinguishes used from merely mentioned expressions in a given sentence by translating the sentence into a different language (see Langford 1937). If the very same expression reoccurs in the translation, it was mentioned rather than used in the original sentence. If the expression does not reoccur and is replaced by some other (usually synonymous) expression, then it was used in the original sentence. This test is used by a famous argument from Alonzo Church concerning Carnap's treatment of belief attributions and other analyses of beliefs as relations to sentences (see Church 1950).

Langford was married twice. His son Cooper H. Langford was a chemist.[3]

Selected works

  • Langford, C. H. (1926). "On quantifiers for general propositions". Bull. Amer. Math. Soc. 32 (6): 694–704. doi:10.1090/s0002-9904-1926-04298-1. MR 1561292.
  • Langford, C. H. (1927). "An analysis of some general propositions". Bull. Amer. Math. Soc. 33 (6): 666–672. doi:10.1090/s0002-9904-1927-04445-7. MR 1561444.
  • Langford, C. H. (1927). "On inductive relations". Bull. Amer. Math. Soc. 33 (5): 599–607. doi:10.1090/s0002-9904-1927-04419-6. MR 1561425.
  • Langford, C. H. (1927). "On a type of completeness characterizing the general laws for the separation of point-pairs". Trans. Amer. Math. Soc. 29 (1): 96–110. doi:10.1090/s0002-9947-1927-1501378-8. MR 1501378.
  • Langford, C. H. (1928). "Concerning logical principles". Bull. Amer. Math. Soc. 34 (5): 573–582. doi:10.1090/s0002-9904-1928-04625-6. MR 1561620.
  • Langford, C. H. (1937). "Review of: The Significs of Pasigraphic Systems by E. W. Beth". The Journal of Symbolic Logic. 2 (1): 53–54. doi:10.2307/2268834. JSTOR 2268834.
  • Langford, C. H. (1949-01-06). "A Proof That Synthetic A Priori Propositions Exist". The Journal of Philosophy. 46 (1): 20–24. doi:10.2307/2019526. JSTOR 2019526.

Notes

  1. ^ . Archived from the original on 2018-06-17. Retrieved 2013-01-07.
  2. ^ . Archived from the original on 2013-06-04. Retrieved 2013-01-09.
  3. ^ William, William; Burks, Arthur W. (1964). "Cooper Harold Langford 1895-1964". Proceedings and Addresses of the American Philosophical Association. 38: 99–101. JSTOR 3129489.

References

  • Church, A. (1950). "On Carnap's Analysis of Statements of Assertion and Belief". The Journal of Symbolic Logic. 10 (5): 97–99. doi:10.2307/3326684. JSTOR 3326684.

External links

  • Works by C. H. Langford – PhilPapers

cooper, harold, langford, august, 1895, dublin, logan, county, arkansas, august, 1964, american, analytic, philosopher, mathematical, logician, authored, book, symbolic, logic, 1932, with, lewis, also, known, introducing, langford, moore, paradox, contents, bi. Cooper Harold Langford 25 August 1895 Dublin Logan County Arkansas 28 August 1964 was an American analytic philosopher and mathematical logician who co authored the book Symbolic Logic 1932 with C I Lewis He is also known for introducing the Langford Moore paradox Contents 1 Biography 2 Selected works 3 Notes 4 References 5 External linksBiography EditAfter spending his freshman year at the University of Arkansas Langford transferred in 1915 to Clark University where he received his A B degree in 1920 His college education was interrupted by World War I in 1917 when he joined the U S army and spent 20 months overseas After receiving his A B degree Langford enrolled in 1920 as a graduate student at Harvard University where he earned his Ph D in psychology under Edwin Boring in 1924 With the aid of a Sheldon Traveling Fellowship he studied logic and philosophy at Cambridge University during 1924 1925 Upon his return to the U S Langford became an instructor at Harvard from 1925 to 1927 After spending two academic years 1927 1929 as an assistant professor at the University of Washington he became in the autumn of 1929 an associate professor with tenure in the philosophy department at the University of Michigan Langford became a full professor at U Michigan in 1933 remaining there for the rest of his career In the academic year 1935 1936 he was a Guggenheim fellow dividing his time between Vienna and Cambridge England 1 2 Langford is famous as co author of the 1932 book Symbolic Logic and the system of modal logic S5 His doctoral students include Arthur Burks In the philosophy of language Langford is known for the Langford substitution test The test distinguishes used from merely mentioned expressions in a given sentence by translating the sentence into a different language see Langford 1937 If the very same expression reoccurs in the translation it was mentioned rather than used in the original sentence If the expression does not reoccur and is replaced by some other usually synonymous expression then it was used in the original sentence This test is used by a famous argument from Alonzo Church concerning Carnap s treatment of belief attributions and other analyses of beliefs as relations to sentences see Church 1950 Langford was married twice His son Cooper H Langford was a chemist 3 Selected works EditLangford C H 1926 On quantifiers for general propositions Bull Amer Math Soc 32 6 694 704 doi 10 1090 s0002 9904 1926 04298 1 MR 1561292 Langford C H 1927 An analysis of some general propositions Bull Amer Math Soc 33 6 666 672 doi 10 1090 s0002 9904 1927 04445 7 MR 1561444 Langford C H 1927 On inductive relations Bull Amer Math Soc 33 5 599 607 doi 10 1090 s0002 9904 1927 04419 6 MR 1561425 Langford C H 1927 On a type of completeness characterizing the general laws for the separation of point pairs Trans Amer Math Soc 29 1 96 110 doi 10 1090 s0002 9947 1927 1501378 8 MR 1501378 Langford C H 1928 Concerning logical principles Bull Amer Math Soc 34 5 573 582 doi 10 1090 s0002 9904 1928 04625 6 MR 1561620 Langford C H 1937 Review of The Significs of Pasigraphic Systems by E W Beth The Journal of Symbolic Logic 2 1 53 54 doi 10 2307 2268834 JSTOR 2268834 Langford C H 1949 01 06 A Proof That Synthetic A Priori Propositions Exist The Journal of Philosophy 46 1 20 24 doi 10 2307 2019526 JSTOR 2019526 Notes Edit Cooper Harold Langford Faculty History Project U of Michigan Archived from the original on 2018 06 17 Retrieved 2013 01 07 Cooper Harold Langford John Simon Guggeheim Memorial Foundation Archived from the original on 2013 06 04 Retrieved 2013 01 09 William William Burks Arthur W 1964 Cooper Harold Langford 1895 1964 Proceedings and Addresses of the American Philosophical Association 38 99 101 JSTOR 3129489 References EditChurch A 1950 On Carnap s Analysis of Statements of Assertion and Belief The Journal of Symbolic Logic 10 5 97 99 doi 10 2307 3326684 JSTOR 3326684 External links EditWorks by C H Langford PhilPapers Retrieved from https en wikipedia org w index php title Cooper Harold Langford amp oldid 1097301889, wikipedia, wiki, book, books, library,

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