Robert Lawson Vaught

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Robert Lawson Vaught
(de facto)

Robert Lawson Vaught (April 4, 1926 – April 2, 2002) was a mathematical logician and one of the founders of model theory.[1]

Life

Vaught was a musical prodigy in his youth, in his case playing the piano. He began his university studies at

US Navy, which assigned him to the University of California's V-12
program. He graduated in 1945 with an AB in physics.

In 1946, he began a Ph.D. in mathematics at Berkeley. He initially worked under the supervision of the topologist

C* algebras. In 1950, in response to McCarthyite pressures, Berkeley required all staff to sign a loyalty oath. Kelley declined and moved his career to Tulane University for three years. Vaught then began afresh under the supervision of Alfred Tarski, completing in 1954 a thesis on mathematical logic, titled Topics in the Theory of Arithmetical Classes and Boolean Algebras. After spending four years at the University of Washington
, Vaught returned to Berkeley in 1958, where he remained until his 1991 retirement.

In 1957, Vaught married Marilyn Maca; they had two children.

Work

Vaught's work is primarily focused on

"Never 2" theorem
states that a complete first-order theory cannot have exactly two nonisomorphic countable models.

He considered his best work was his paper "Invariant sets in topology and logic"[citation needed], introducing the Vaught transform. He is known for the Tarski–Vaught test for elementary substructures, the Feferman–Vaught theorem, the Łoś–Vaught test for completeness and decidability, the Vaught two-cardinal theorem, and his conjecture on the nonfinite axiomatizability of totally categorical theories (this work eventually led to geometric stability theory).

See also

Notes

References

External links

  • Robert Lawson Vaught at the Mathematics Genealogy Project
  • Addison, J. W. (Fall 2002). "In Memoriam: Robert Lawson Vaught" (PDF). Berkeley Mathematics Newsletter. p. 13.