Solomon Feferman Biography

American philosopher and mathematician

Solomon Feferman (December 13, 1928 – July 26, 2016) was an American philosopher and mathematician who worked in mathematical logic. In addition to his prolific technical work in proof theory, computability theory, and set theory, he was known for his contributions to the history of logic (for instance, via biographical writings on figures such as Kurt Gödel, Alfred Tarski, and Jean van Heijenoort) and as a vocal proponent of the philosophy of mathematics known as predicativism, notably from an anti-platonist stance.

Life

Solomon Feferman was born in The Bronx in New York City to working-cl* parents who had immigrated to the United States after World War I and had met and married in New York. Neither parent had any advanced education. The family moved to Los Angeles, where Feferman graduated from high school at age 16.

He received his B.S. from the California Ins*ute of Technology in 1948, and in 1957 his Ph.D. in mathematics from the University of California, Berkeley, under Alfred Tarski, after having been drafted and having served in the U.S. Army from 1953 to 1955. In 1956 he was appointed to the Departments of Mathematics and Philosophy at Stanford University, where he later became the Patrick Suppes Professor of Humanities and Sciences. While the majority of his career was spent at Stanford, he also spent time as a post-doctoral fellow at the Ins*ute for Advanced Study in Princeton, a visiting professor at MIT, and a visiting fellow at the University of Oxford (Wolfson College and All Souls College).

Feferman died on 26 July 2016 at his home in Stanford, following an illness that lasted three months and a stroke. At his death, he had been a member of the Mathematical *ociation of America for 37 years.

Contributions

Feferman was editor-in-chief of the five-volume Collected Works of Kurt Gödel, published by Oxford University Press between 2001 and 2013.

In 2004, together with his wife Anita Burdman Feferman, he published a biography of Alfred Tarski: Alfred Tarski: Life and Logic.

He worked on predicative mathematics, in particular introducing the Feferman–Schütte ordinal as a measure of the strength of certain predicative systems.

Recognition

Feferman was awarded Guggenheim Fellowships in 1972 and 1986 and the Rolf Schock Prize in logic and philosophy in 2003. He was invited to give the Gödel Lecture in 1997 and the Tarski Lectures in 2006. In 2012, he became a fellow of the American Mathematical Society.

Publications

Papers

  • Feferman, Solomon; Vaught, Robert L. (1959), "The first order properties of products of algebraic systems", Fund. Math. 47, 57–103.
  • Feferman, Solomon (1975), "A language and axioms for explicit mathematics", Algebra and logic (Fourteenth Summer Res. Inst., Austral. Math. Soc., Monash Univ., Clayton, 1974), pp.:87–139, Lecture Notes in Math., vol. 450, Berlin, Springer.
  • Feferman, Solomon (1979), "Constructive theories of functions and cl*es", Logic Colloquium '78 (Mons, 1978), pp.:159–224, Stud. Logic Foundations Math., 97, Amsterdam, New York, North-Holland.
  • Buchholz, Wilfried; Feferman, Solomon; Pohlers, Wolfram; Sieg, Wilfried (1981), "Iterated inductive definitions and subsystems of *ysis: recent proof-theoretical studies", Lecture Notes in Mathematics, 897, Berlin, New York, Springer-Verlag.
  • Feferman, Solomon; Hellman, Geoffrey (1995), "Predicative foundations of arithmetic", J. Philos. Logic 24 (1), 1–17.
  • Avigad, Jeremy; Feferman, Solomon (1998), "Gödel's functional (Dialectica) interpretation", Handbook of proof theory, 337–405, Stud. Logic Found. Math., 137, Amsterdam, North-Holland.

Books

  • Feferman, Solomon (1964) The Number Systems, Foundations of Algebra and *ysis Addison Wesley. Library of Congress Catalog No.63-12470
  • Feferman, Solomon. (1998). In the Light of Logic. Oxford University Press. ISBN:0-19-508030-0, Logic and Computation in Philosophy series.
  • Feferman, Anita Burdman; Feferman, Solomon (2004). Alfred Tarski: Life and Logic. Cambridge University Press. ISBN:978-0-521-80240-6. OCLC:54691904.

See also

  • Criticism of non-standard *ysis

References

  1. Anellis, Irving H. (2005), "Review", The Review of Modern Logic, 10 (1–2): 117–130
  2. Davis, Philip J. (March 2005), "A life of logic and the illogic of life", SIAM News
  3. Davis, Martin (March–April 2005), "The Man Who Defined Truth", American Scientist, 93 (2): 175–177, JSTOR:27858554
  4. Shell-Gellasch, Amy (May 2005), "Review", MAA Reviews
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  13. Wood, Carol (April 2006), The American Mathematical Monthly, 113 (4): 377–379, doi:10.2307/27641942, JSTOR:27641942{{citation}}: CS1 maint: un*led periodical (link)
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  15. Grattan-Guinness, Ivor (September 2006), The British Journal for the History of Science, 39 (3): 469–470, doi:10.1017/S0007087406438681, JSTOR:4028507{{citation}}: CS1 maint: un*led periodical (link)
  16. Apt, Krzysztof R. (March 2007), "Alfred Tarski: life and logic", The Mathematical Intelligencer, 29 (2): 78–80, doi:10.1007/bf02986214, S2CID:189883846
  17. Sinaceur, Hourya Benis (September 2007), "Review" (PDF), Notices of the American Mathematical Society, 54 (8): 986–989
  18. B*ols, Alejandro Tomasini (April 2006), Crítica: Revista Hispanoamericana de Filosofía, 38 (112): 105–111, JSTOR:40104969{{citation}}: CS1 maint: un*led periodical (link)
  19. Brown, Scott H. (March 2009), The Mathematics Teacher, 102 (7): 558, JSTOR:20876430{{citation}}: CS1 maint: un*led periodical (link)
  20. Bremer, Manuel (December 2009), "Review", Philosophy in Review, 29 (6): 404
  21. Nerode, Anil (March 2010), The American Mathematical Monthly, 117 (3): 286–288, doi:10.4169/000298910x480144, JSTOR:10.4169/000298910x480144, S2CID:218549336{{citation}}: CS1 maint: un*led periodical (link)
  22. Czernecka-Rej, Bożena (2011), Roczniki Filozoficzne, 59 (1): 79–84, JSTOR:43408916{{citation}}: CS1 maint: un*led periodical (link)
  23. Antonelli, G. Aldo (June 2001), The Bulletin of Symbolic Logic, 7 (2): 270–277, doi:10.2307/2687778, JSTOR:2687778, S2CID:122751203{{citation}}: CS1 maint: un*led periodical (link)
  24. Mendelson, E. (2001), Mathematical Reviews, MR:1661162{{citation}}: CS1 maint: un*led periodical (link)

External links

  • Solomon Feferman official website (via Internet Archive) at Stanford University

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