Donald A. Martin

For other people named Donald Martin, see Donald Martin (disambiguation).
Martin in 2004

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

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

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 and the Martin Conjecture on Turing invariant functions are also named after Martin.

See also

References

  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.


Flag of United StatesScientist icon

This article about an American mathematician is a stub. You can help Wikipedia by expanding it.

Read other articles:

Pollice (dito)

Le informazioni riportate non sono consigli medici e potrebbero non essere accurate. I contenuti hanno solo fine illustrativo e non sostituiscono il parere medico: leggi le avvertenze. Pollice nella mano umana Il pollice (anche dito pollice o primo dito) è un dito della mano, il più laterale. Indice 1 Anatomia 2 Patologia 2.1 Sindromi 2.2 Malformazioni 2.3 Fratture 2.4 Esami 3 Pollice opponibile 3.1 Animali con un pollice opponibile 4 Locuzioni 5 Note 6 Bibliografia 7 Voci correlate 8 Altr...

 

Danau Katam

Danau KatamLetakSahara, ChadKoordinat19°1′N 20°30′E / 19.017°N 20.500°E / 19.017; 20.500Koordinat: 19°1′N 20°30′E / 19.017°N 20.500°E / 19.017; 20.500Aliran masuk utamasubsurface; evaporasiAliran keluar utamasubsurfaceTerletak di negaraChadPanjang maksimal24 km (15 mi)Lebar maksimal1 km (0,62 mi)Ketinggian permukaan377 m (1.237 ft) Portal Chad Portal Afrika Portal Geografi Danau Katam adalah salah sa...

 

Android (film)

AndroidTheatrical release posterSutradaraAaron LipstadtProduserMary Ann FisherDitulis olehJames ReigleDon Keith OpperJames ReigleWill ReiglePemeranKlaus KinskiBrie HowardPenata musikDon PrestonSinematograferTim SuhrstedtPenyuntingAndy HorvitchPerusahaanproduksiNew World PicturesDistributorNew World PicturesTanggal rilisOktober 1982 (1982-10)Durasi80 minutesNegaraUnited StatesBahasaEnglish Android adalah film Amerika Serikat produksi New World Pictures tahun 1982 bergenre fiksi ilmi...

Strada statale 58 bis della Carniola

Strada statale 58 bisdella CarniolaLocalizzazioneStato Italia DatiClassificazioneStrada statale InizioŠkofljica Fineconfine di Stato presso Pirce Provvedimento di istituzioneRegio decreto 2 marzo 1942, n. 392 GestoreAASS Percorso Manuale La strada statale 58 bis della Carniola (SS 58 bis) era una strada statale italiana. Indice 1 Storia 2 Percorso 3 Note 4 Bibliografia 5 Altri progetti Storia La SS 58 bis venne istituita nel 1942 in seguito all'annessione all'Italia di parte del territo...

 

Ziauddin Sardar

Biografi ini memerlukan lebih banyak catatan kaki untuk pemastian. Bantulah untuk menambahkan referensi atau sumber tepercaya. Materi kontroversial atau trivial yang sumbernya tidak memadai atau tidak bisa dipercaya harus segera dihapus, khususnya jika berpotensi memfitnah.Cari sumber: Ziauddin Sardar – berita · surat kabar · buku · cendekiawan · JSTOR (March 2014) (Pelajari cara dan kapan saatnya untuk menghapus pesan templat ini) Ziauddin SardarLahi...

 

Melville J. Herskovits

Melville Jean Herskovits (10 September 1895 - 25 Februari 1963) adalah nama seorang antropolog Amerika Serikat yang lahir di Bellefontaine, Ohio. Ia adalah penulis buku kontroversial The Myth of the Negro Past yang membahas tentang pengaruh kebudayaan Afrika dalam kehidupan kulit hitam Amerika. Ia juga turut berperan membentuk konsep relativitas kebudayaan melalui bukunya yang berjudul Man and His Works. Ia mendapatkan gelar PhD pada bidang studi Antropologi dari Colombia University di New Y...

عمر البشير

عمر البشير   مناصب رئيس السودان[1][2] (7 )   في المنصب30 يونيو 1989  – 11 أبريل 2019  أحمد الميرغني  أحمد عوض بن عوف‎  رئيس وزراء السودان   في المنصب30 أكتوبر 1993  – 19 أغسطس 2002  معلومات شخصية اسم الولادة عمر حسن أحمد البشير الميلاد 1 يناير 1944 (العمر 80 سنة) ...

 

Tubercolosi

Le informazioni riportate non sono consigli medici e potrebbero non essere accurate. I contenuti hanno solo fine illustrativo e non sostituiscono il parere medico: leggi le avvertenze. TubercolosiA destra si può vedere una caverna tubercolare, a sinistra un infiltrato di Assman-RedkerSpecialitàinfettivologia e pneumologia EziologiaMycobacterium tuberculosis Classificazione e risorse esterne (EN)ICD-9-CM010 e 018 ICD-10A15-A19 OMIM607948 MeSHD014376 MedlinePlus000077 e 000624 eMedicine23080...

 

André Cailleux

Pour les articles homonymes, voir Cailleux. André CailleuxBiographieNaissance 24 décembre 190716e arrondissement de ParisDécès 27 décembre 1986 (à 79 ans)Saint-NazaireSépulture Cimetière de MontmartreNom de naissance André Paul Eugène de Cayeux de SenarpontPseudonyme André CailleuxNationalité françaiseFormation Faculté des sciences de Paris (doctorat) (jusqu'en 1942)Faculté des lettres de ParisActivités Paléontologue, géographe, géologue, professeur d'université...

Seebad Utoquai

Seebad UtoquaiSeebad Utoquai as seen from Quaibrücke in Zürich47°21′43″N 8°32′50″E / 47.36186°N 8.547305°E / 47.36186; 8.547305LocationUtoquai, Zürich, CH-8008Opened1890Operated byCity of ZürichTypepublic bath; lake bathStatusopenLengthabout 90 metres (295 ft)Widthabout 30 metres (98 ft)Depth4 metres (13 ft)WebsiteOfficial website (in German)Featureslake shore bathFacilitiesgym, sauna, crèche, kiosk, Ayurveda Seebad Utoquai is a public b...

 

Fourth Division 1986-1987

Fourth Division 1986-1987Today Fourth Division 1986-1987 Competizione Fourth Division Sport Calcio Edizione 29ª Organizzatore Football League Date dal 23 agosto 1986al 25 maggio 1987 Luogo  Inghilterra Galles Partecipanti 24 Formula girone all'italiana+play off Risultati Vincitore Northampton Town(1º titolo) Altre promozioni Preston North EndSouthend UnitedAldershot (dopo play off) Retrocessioni Lincoln City Statistiche Miglior marcatore Richard Hill (29) Incontri...

 

Madonna del Belvedere

Madonna del BelvedereAutoreRaffaello Sanzio Data1506 TecnicaOlio su tavola Dimensioni113×88 cm UbicazioneKunsthistorisches Museum, Vienna Dettaglio La Madonna del Belvedere (o Madonna del Prato) è un dipinto olio su tavola (113x88 cm) di Raffaello Sanzio, datato 1506 e conservato nel Kunsthistorisches Museum di Vienna. La data M.D.VI. si trova sull'orlo dell'abito della Vergine. Indice 1 Storia 2 Descrizione e stile 3 Altre immagini 4 Bibliografia 5 Voci correlate 6 Altri progetti 7 Co...

Ivan Allen College of Liberal Arts

Academic department of Georgia Tech, Atlanta, US Ivan Allen College of Liberal ArtsTypePublicEstablished1948/1998[1]Parent institutionGeorgia Institute of TechnologyDeanKaye Husbands Fealing[2]Academic staff262 (218 permanent, 45 temporary)[3]Students808[4]Undergraduates583Postgraduates225[4]LocationAtlanta, Georgia, United StatesWebsiteiac.gatech.edu The Ivan Allen College of Liberal Arts is a college of the Georgia Institute of Technology, a public re...

 

Gerald Ketchum

Questa voce sugli argomenti militari statunitensi e Antartide è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Segui i suggerimenti dei progetti di riferimento 1, 2. Gerald KetchumNascitaBellingham, 5 dicembre 1908 MortePlano, 22 agosto 1992 voci di militari presenti su Wikipedia Manuale Gerald Ketchum (Bellingham, 5 dicembre 1908 – Plano, 22 agosto 1992) è stato un militare statunitense. Comandante della Us Navy è stato responsabile della ...

 

世界政區索引

此條目可能包含不适用或被曲解的引用资料，部分内容的准确性无法被证實。 (2023年1月5日)请协助校核其中的错误以改善这篇条目。详情请参见条目的讨论页。 各国相关 主題列表 索引 国内生产总值 石油储量 国防预算 武装部队（军事） 官方语言 人口統計 人口密度 生育率 出生率 死亡率 自杀率 谋杀率 失业率 储蓄率 识字率 出口额 进口额 煤产量 发电量 监禁率 死刑 国债 ...

Age of Impact

Age Of ImpactAlbum studio karya Explorers ClubDirilis28 Juli 1998DirekamSound Temple Studio, Oakland, California.GenreProgressive metalProgressive rockDurasi53:30LabelMagna CartaProduserTrent GardnerKronologi Explorers Club Age Of Impact(1998) Raising the Mammoth(2002)Raising the Mammoth2002 Penilaian profesional Skor ulasan Sumber Nilai Allmusic [1] Age Of Impact adalah album pertama dari Explorers Club, menampilkan Steve Howe, John Petrucci, James LaBrie, and Terry Bozzio. Dafta...

 

1778 en Grèce ottomane

Chronologies Construction de la muraille Haseki autour d'Athènes.Données clés 1775 1776 1777  1778  1779 1780 1781Décennies :1740 1750 1760  1770  1780 1790 1800Siècles :XVIe XVIIe  XVIIIe  XIXe XXeMillénaires :-Ier Ier  IIe  IIIe Chronologies géographiques Afrique Afrique du Sud, Algérie, Angola, Bénin, Botswana, Burkina Faso, Burundi, Cameroun, Cap-Vert, République centrafricaine, Comores, République du Congo, République d�...

 

Island (South Korean TV series)

2022–2023 South Korean web series IslandPromotional posterHangul아일랜드Revised RomanizationAillaendeuMcCune–ReischauerAillaendŭ GenreFantasy[1]Action[1]Based onIslandby Yoon In-wan and Yang Kyung-il[2]Developed byStudio Dragon (planning)[3]Written byOh Bo-hyun[4]Directed byBae Jong[1]StarringKim Nam-gilLee Da-heeCha Eun-wooSung JoonMusic byKim Sung-su[5]Country of originSouth KoreaOriginal languageKoreanNo. of episodes12Product...

Anna Visscher

Dutch artist (c. 1583–1651) Anna Roemers Visscher (c. 2 February 1583 – 6 December 1651)[1] was a Dutch artist, poet, and translator. Drawing with imaginary title Anna Roemers Visscher Anna Roemers Visscher: Rummer with an engraved poem on Constantijn Huygens, 1619, Rijksmuseum BK-1983-15 Berkemeyer tumbler engraved by Visscher in 1646 Biography Anna Roemers Visscher was the eldest daughter of Amsterdam merchant and poet Roemer Visscher and the sister of Maria Tesselschade Vissche...

 

كييل سفيري يوهانسن

هذه المقالة يتيمة إذ تصل إليها مقالات أخرى قليلة جدًا. فضلًا، ساعد بإضافة وصلة إليها في مقالات متعلقة بها. (أكتوبر 2019) كييل سفيري يوهانسن معلومات شخصية الميلاد 20 يونيو 1944   الوفاة 7 أكتوبر 1998 (54 سنة)   باروم  مواطنة النرويج  الحياة العملية المهنة مجدف  الرياضة التج...