哥德爾， 埃舍爾，巴赫：一次心靈太空漫遊 G?del, Escher, Bach: A Mental Space Odyssey 麻省理工學院開放式課程 英文版 DVD 只於電腦播放

課程詳情http://ocw.mit.edu/high-school/courses/godel-escher-bach/

課程介紹：

一數學家，一個藝術家和一個音樂家都有一個什麼共通點？你對禪宗理論，數學，分形，邏輯，悖論，無窮，藝術，語言，計算機科學，物理，音樂，智力，意識和統一理論感興趣嗎？接下來我將深入分析普利策獎獲得者道格拉斯霍夫斯塔特的獲獎圖書：哥德爾，埃舍爾，巴赫。通過這本書的啟發，我們可以在本次講座做一些瘋狂的猜想，你需要閱讀大部分的書籍，因為課程的內容主要是鼓勵我們的閱讀和課堂討論。這裡，我極力推薦大家去都買這本書，把你的思想解放到一個更高的層次。

Whatdoonemathematician,oneartist,andonemusicianallhaveincommon?AreyouinterestedinzenBuddhism,math,fractals,logic,paradoxes,infinities,art,language,computerscience,physics,music,intelligence,consciousnessandunifiedtheories?GetreadytochasemedownarabbitholeintoDouglasHofstadter\'sPulitzerPrizewinningbookG?del,Escher,Bach.Lectureswillbeaplaceforcrazyideastobouncearoundaswetrytopaceourwaythroughthisenlighteningtome.Youwillberesponsibleformostofthereadingaslectureswillconsistprimarilyofmotivatingthematerialandencouragingdiscussion.Iadviseeveryoneseriouslyinterestedtobuythebook,grabonandgetreadyforamind-expandingvoyageintohigherdimensionsofrecursivethinking.

主講人

JustinCurry&CurranKelleher

CurranKelleher
WorkExperience:
InstituteforVisualizationandPerceptionResearchatUMassLowell-Lowell,MA
SoftwareEngineerandResearchAssistant-June2005-August2007,September2008-present
ImplementedsessionhistoryrecordingandreplayintheUniversalVisualizationPlatform-IVPR\'smainvisualizationplatform,writteninJava
Workedwithateamdevelopingavisualization-baseddocumentmanagementsysteminC#
ParticipatedincreatingtheIEEEVAST2007Contestdataset
Wrotetextprocessingutilitiesfornamedentityaggregationandsearch(Java,Lucene)
AuthoredJyVis,anopensourcevisualizationplatform(Java,Python,Groovy)
WorkedaspartofthedevelopmentteamoftheWeaveweb-basedvisualanalyticsplatform(Java,SQL,Flex,Grails)
ComputerGraphicsCenter(ZGDV)-Darmstadt,Germany
SoftwareEngineerandResearchAssistant-October2007-August2008
Designedandimplementedsoftwareforoverlayinghairstylesonfacepictures(Java)
Workedwithateamofthreetodesignandimplementareal-timevision-based3Dreconstructionandhandposeestimationsystem(C,C++,CUDA)
NewEnglandComplexSystemsInstitute(NECSI)-Cambridge,MA
SoftwareEngineerandResearchAssistant-January-June2006
Workedwithateamtodevelopavisualizationandsimulationplatformforearth-widesocioeconomicdynamics(Java)
UniversityofMassachusettsMedicalSchool-Worcester,MA
ResearchAssistantinDr.WillamTheurkauf\'sresearchlab-June2004-June2005
AssistedgraduatestudentswithexperimentsinvestigatingtheroleofRNAicomponentsindrosophilaembryonicaxisspecificationandrelatedphenomena

個人博客：http://www.curransoft.com/curran/

課程安排：

1Intro-III:Welcome,toolsforthinking,formalsystemsThreepartinvention;two-partinvention;sonataforunaccompaniedAchilles;contracrostipunctus
2IV:Consistency,completeness,andgeometryLittleharmonicLabyrinth
3V:RecursivestructuresandprocessesCanonbyintervallicaugmentation
4VI:ThelocationofmeaningCrabcanon
5VIII:TypographicalnumbertheoryAMuoffering
6IX:MumonandG?delEdifyingthoughtsofatobaccosmoker
7XVI:Self-refandself-repPrelude...;...antfugue
8XI:BrainsandthoughtsNonescheduled

相關書籍
《哥德爾、艾舍爾、巴赫：集異璧之大成》
(Godel，Escher，Bach：AnEternalGoldenBraid)：

這是一本空前的奇書，也是一本傑出的科學普及名著，它以精心設計的巧妙筆法深入淺出地介紹了數理邏輯、可計算理論、