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{{BLP sources|date=December 2014}}
{{BLP sources|date=December 2014}}
[[File:Donald Martin.jpg|thumb|220px|Donald A. Martin]]
[[File:Donald Martin.jpg|thumb|220px|Donald A. Martin]]
'''Donald A. Martin''' (born December 24, 1940), also known as '''Tony Martin''', is an American [[set theorist]] and [[philosopher of mathematics]] at [[University of California, Los Angeles|UCLA]], where he is an emeritus professor of mathematics and [[UCLA Department of Philosophy|philosophy]].
'''Donald Anthony Martin''' (born December 24, 1940), also known as '''Tony Martin''', is an American [[set theorist]] and [[philosopher of mathematics]] at [[University of California, Los Angeles|UCLA]], where he is an emeritus professor of mathematics and [[UCLA Department of Philosophy|philosophy]].


==Education and career==
==Education and career==


Martin received his B.S. from the [[Massachusetts Institute of Technology]] in 1962 and was a [[List of Harvard Junior Fellows|Junior Fellow of the Harvard Society of Fellows]] in 1965–67.<ref>https://philosophy.ucla.edu/person/donald-tony-martin/</ref> In 2014, he became a Fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2014-12-17</ref>
Martin received his B.S. from the [[Massachusetts Institute of Technology]] in 1962 and was a [[List of Harvard Junior Fellows|Junior Fellow of the Harvard Society of Fellows]] in 1965–67.<ref>{{Cite web|url=https://philosophy.ucla.edu/person/donald-tony-martin/|title=Donald (Tony) Martin - Emeritus}}</ref> In 2014, he became a Fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2014-12-17</ref>

Martin was the 1992 [[Tarski Lectures|Tarski lecturer]].


==Philosophical and mathematical work==
==Philosophical and mathematical work==


Among Martin's most notable work are the proofs of [[analytic set|analytic]] [[determinacy]] (from the existence of a [[measurable cardinal]]), [[Borel set|Borel]] [[determinacy]] (from [[ZFC]] alone), the proof (with [[John R. Steel]]) of [[projective determinacy]] (from suitable [[large cardinal]] axioms), and his work on [[Martin's axiom]]. The [[Martin measure]] on [[Turing degree]]s is also named after Martin.
Among Martin's most notable works are the proofs of [[analytic set|analytic]] [[determinacy]]<ref name="analytic games">{{cite journal | last=Martin | first=Donald | title=Measurable cardinals and analytic games | journal=Fundamenta Mathematicae | volume=66 | issue=3 | date=1970 | issn=0016-2736 | doi=10.4064/fm-66-3-287-291 | pages=287–291}}</ref> (from the existence of a [[measurable cardinal]]), [[Borel set|Borel]] [[determinacy]]<ref name="Borel determinacy">{{cite journal|author=Martin, Donald A.|author-link=Donald A. Martin|title=Borel determinacy|journal=Annals of Mathematics | series = Second Series|volume=102|issue=2|pages=363–371|year=1975|doi=10.2307/1971035|jstor=1971035}}</ref> (from [[ZFC]] alone), the proof (with [[John R. Steel]]) of [[projective determinacy]]<ref name="Projective determinacy">{{cite journal|author=Martin, Donald A. and John R. Steel|date=Jan 1989|title=A Proof of Projective Determinacy|jstor=1990913|journal=Journal of the American Mathematical Society|volume=2|issue=1|pages=71–125|doi=10.2307/1990913|doi-access=free}}</ref> (from suitable [[large cardinal]] axioms), and his work on [[Martin's axiom]].<ref name=MartinSolovay1970>{{cite journal |last1=Martin |first1=Donald A. |author1-link=Donald A. Martin|last2=Solovay |first2=Robert M. |author2-link=Robert M. Solovay |date= 1970 |title=Internal Cohen extensions |journal=Ann. Math. Logic |volume=2 |issue=2 |pages=143–178 |doi=10.1016/0003-4843(70)90009-4 |doi-access=free |mr=0270904}}</ref> The [[Martin measure]] on [[Turing degree]]s is also named after Martin.


==See also==
==See also==
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[[Category:21st-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:American logicians]]
[[Category:American logicians]]
[[Category:UCLA Philosophy]]
[[Category:UCLA Department of Philosophy faculty]]
[[Category:Philosophers of mathematics]]
[[Category:American philosophers of mathematics]]
[[Category:Set theorists]]
[[Category:Set theorists]]
[[Category:Tarski lecturers]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Gödel Lecturers]]




Latest revision as of 20:56, 18 September 2024

For other people named Donald Martin, see Donald Martin (disambiguation).
Donald A. Martin

Donald Anthony Martin (born December 24, 1940), also known as Tony Martin, is an American set theorist and philosopher of mathematics at UCLA, where he is an emeritus professor of mathematics and philosophy.

Education and career

[edit]

Martin received his B.S. from the Massachusetts Institute of Technology in 1962 and was a Junior Fellow of the Harvard Society of Fellows in 1965–67.[1] In 2014, he became a Fellow of the American Mathematical Society.[2]

Martin was the 1992 Tarski lecturer.

Philosophical and mathematical work

[edit]

Among Martin's most notable works are the proofs of analytic determinacy[3] (from the existence of a measurable cardinal), Borel determinacy[4] (from ZFC alone), the proof (with John R. Steel) of projective determinacy[5] (from suitable large cardinal axioms), and his work on Martin's axiom.[6] The Martin measure on Turing degrees is also named after Martin.

See also

[edit]

References

[edit]
  1. ^ "Donald (Tony) Martin - Emeritus".
  2. ^ List of Fellows of the American Mathematical Society, retrieved 2014-12-17
  3. ^ Martin, Donald (1970). "Measurable cardinals and analytic games". Fundamenta Mathematicae. 66 (3): 287–291. doi:10.4064/fm-66-3-287-291. ISSN 0016-2736.
  4. ^ Martin, Donald A. (1975). "Borel determinacy". Annals of Mathematics. Second Series. 102 (2): 363–371. doi:10.2307/1971035. JSTOR 1971035.
  5. ^ Martin, Donald A. and John R. Steel (Jan 1989). "A Proof of Projective Determinacy". Journal of the American Mathematical Society. 2 (1): 71–125. doi:10.2307/1990913. JSTOR 1990913.
  6. ^ Martin, Donald A.; Solovay, Robert M. (1970). "Internal Cohen extensions". Ann. Math. Logic. 2 (2): 143–178. doi:10.1016/0003-4843(70)90009-4. MR 0270904.
[edit]


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