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。
What do one mathematician, one artist, and one musician all have in common? Are you interested in zen Buddhism, math, fractals, logic, paradoxes, infinities, art, language, computer science, physics, music, intelligence, consciousness and unified theories ? Get ready to chase me down a rabbit hole into Douglas Hofstadter\'s Pulitzer Prize winning book G?del, Escher, Bach. Lectures will be a place for crazy ideas to bounce around as we try to pace our way through this enlightening tome. You will be responsible for most of the reading as lectures will consist primarily of motivating the material and encouraging discussion. I advise everyone seriously interested to buy the book, grab on and get ready for a mind-expanding voyage into higher dimensions of recursive thinking.
主講人
Justin Curry&Curran Kelleher
Curran Kelleher
Work Experience:
Institute for Visualization and Perception Research at UMass Lowell - Lowell, MA
Software Engineer and Research Assistant - June 2005 - August 2007, September 2008 - present
Implemented session history recording and replay in the Universal Visualization Platform - IVPR\'s main visualization platform, written in Java
Worked with a team developing a visualization-based document management system in C#
Participated in creating the IEEE VAST 2007 Contest dataset
Wrote text processing utilities for named entity aggregation and search (Java, Lucene)
Authored JyVis, an open source visualization platform (Java, Python, Groovy)
Worked as part of the development team of the Weave web-based visual analytics platform (Java, SQL, Flex, Grails)
Computer Graphics Center (ZGDV) - Darmstadt, Germany
Software Engineer and Research Assistant - October 2007 - August 2008
Designed and implemented software for overlaying hairstyles on face pictures (Java)
Worked with a team of three to design and implement a real-time vision-based 3D reconstruction and hand pose estimation system (C,C++,CUDA)
New England Complex Systems Institute (NECSI) - Cambridge, MA
Software Engineer and Research Assistant - January - June 2006
Worked with a team to develop a visualization and simulation platform for earth-wide socioeconomic dynamics (Java)
University of Massachusetts Medical School - Worcester, MA
Research Assistant in Dr. Willam Theurkauf\'s research lab - June 2004 - June 2005
Assisted graduate students with experiments investigating the role of RNAi components in drosophila embryonic axis specification and related phenomena
個人博客：http://www.curransoft.com/curran/
課程安排：
1 Intro-III: Welcome, tools for thinking, formal systems Three part invention; two-part invention; sonata for unaccompanied Achilles; contracrostipunctus
2 IV: Consistency, completeness, and geometry Little harmonic Labyrinth
3 V: Recursive structures and processes Canon by intervallic augmentation
4 VI: The location of meaning Crab canon
5 VIII: Typographical number theory A Mu offering
6 IX: Mumon and G?del Edifying thoughts of a tobacco smoker
7 XVI: Self-ref and self-rep Prelude...; ...ant fugue
8 XI: Brains and thoughts None scheduled
相關書籍
《哥德爾、艾舍爾、 巴赫：集異璧之大成》
(Godel，Escher，Bach：An Eternal Golden Braid)：
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、 |
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