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{{short description|American mathematician}}
{{Other persons|Donald Martin}}
[[File:Donald Martin.jpg|thumb|220px|{{PAGENAME}}]]
{{Other people|Donald Martin}}
{{BLP sources|date=December 2014}}
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'''Donald A. (Tony) Martin''' (born 24 December 1940) is a [[set theorist]] and [[philosopher of mathematics]] at [[University of California, Los Angeles|UCLA]], where he is a member of the faculty of mathematics and [[UCLA Department of Philosophy|philosophy]].
[[File:Donald Martin.jpg|thumb|220px|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 [[University of California, Los Angeles|UCLA]], where he is an emeritus professor of mathematics and [[UCLA Department of Philosophy|philosophy]].


==Education and career==
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]].


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 is a [[List of Harvard_Junior Fellows|Harvard junior fellow]].
Martin was the 1992 [[Tarski Lectures|Tarski lecturer]].

==Philosophical and mathematical work==

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==
* [[American philosophy]]
* [[American philosophy]]
* [[List of American philosophers]]
* [[List of American philosophers]]

==References==
{{reflist}}


==External links==
==External links==
*{{MathGenealogy |id=22594}}
*[http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/m/Martin:Donald_A=.html List of publications]
*[http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/m/Martin:Donald_A=.html List of publications]
*[http://www.logic.ucla.edu/ UCLA Logic center]
*[https://web.archive.org/web/20140202191050/http://www.logic.ucla.edu/ UCLA Logic center]
*[https://www.math.ucla.edu/~dam/ Personal Website at UCLA]

{{Authority control}}


{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME = Martin, Donald A.
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION =
| DATE OF BIRTH = 24 December 1940
| PLACE OF BIRTH =
| DATE OF DEATH =
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Martin, Donald A.}}
{{DEFAULTSORT:Martin, Donald A.}}
[[Category:1940 births]]
[[Category:1940 births]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:20th-century mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:21st-century mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:American logicians]]
[[Category:American logicians]]
[[Category:American mathematicians]]
[[Category:UCLA Department of Philosophy faculty]]
[[Category:American philosophers]]
[[Category:American philosophers of mathematics]]
[[Category:UCLA Philosophy]]
[[Category:Philosophers of mathematics]]
[[Category:Set theorists]]
[[Category:Set theorists]]
[[Category:Fellows of the American Mathematical Society]]




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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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