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	<title>Stay Curious &#187; Music</title>
	<atom:link href="http://stay-curious.com/archives/category/music/feed/" rel="self" type="application/rss+xml" />
	<link>http://stay-curious.com</link>
	<description>Encouraging curiosity about the world</description>
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		<title>Who wrote that Christmas Song?</title>
		<link>http://stay-curious.com/archives/2009/12/21/who-wrote-that-christmas-song/</link>
		<comments>http://stay-curious.com/archives/2009/12/21/who-wrote-that-christmas-song/#comments</comments>
		<pubDate>Mon, 21 Dec 2009 05:05:44 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Holidays]]></category>
		<category><![CDATA[Music]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=3242</guid>
		<description><![CDATA[You might be surprised to learn that many Christmas songs were written by Jewish songwriters! Check out the story on the Jewish Publication Society blog: Jews and Christmas music â€“ not such an unlikely mix!]]></description>
			<content:encoded><![CDATA[<p>You might be surprised to learn that many Christmas songs were written by Jewish songwriters! Check out the story on the Jewish Publication Society blog: <strong><a href="http://jpsblog.org/2009/12/jews_and_christmas_music/">Jews and Christmas music â€“ not such an unlikely mix!</a></strong></p>
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		<slash:comments>2</slash:comments>
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		<title>Adon Olam</title>
		<link>http://stay-curious.com/archives/2009/12/05/adon-olam/</link>
		<comments>http://stay-curious.com/archives/2009/12/05/adon-olam/#comments</comments>
		<pubDate>Sat, 05 Dec 2009 18:55:43 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Hebrew Bible]]></category>
		<category><![CDATA[Music]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=3084</guid>
		<description><![CDATA[The tapestry created by weaving music and poetry together can be stunning. Let me give you an example. You can listen to Fortuna&#8217;s mesmerizing rendition of Adon Olam, a beautiful hymn in the Jewish Liturgy, here. This song is on the album Cantigas. If you do a Google search, you can find other sites to [...]]]></description>
			<content:encoded><![CDATA[<p>The tapestry created by weaving music and poetry together can be stunning. Let me give you an example. You can listen to Fortuna&#8217;s mesmerizing rendition of <em>Adon Olam</em>, a beautiful hymn in the Jewish Liturgy, <a href="http://popup.lala.com/popup/1657606146857190458">here</a>. This song is on the album <a href="http://www.deezer.com/en/music/fortuna/cantigas-200211#music/fortuna/cantigas-200211">Cantigas</a>. If you do a Google search, you can find other sites to listen to the song for free before you decide if you want to purchase/download the music.</p>
<p>Here (reproduced from <a href="http://en.wikipedia.org/wiki/Adon_Olam">Wikipedia</a>) are the lyrics in Hebrew, Transliteration, and English.</p>
<p><a href="http://en.wikipedia.org/wiki/Adon_Olam"><img src="http://boulders2bits.com/wordpress/wp-content/uploads/adon_olam.jpg" alt="Adon Olam lyrics" width=500/><br />
</a><br />
Fortuna&#8217;s interpretation of the hymn is not a new release (actually, it was released in 1994) but I first heard of the song today via Twitter (@gideony).</p>
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		<item>
		<title>You might be in New Orleans if&#8230;</title>
		<link>http://stay-curious.com/archives/2009/11/22/you-might-be-in-new-orleans-if/</link>
		<comments>http://stay-curious.com/archives/2009/11/22/you-might-be-in-new-orleans-if/#comments</comments>
		<pubDate>Sun, 22 Nov 2009 17:57:45 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Music]]></category>
		<category><![CDATA[SBL]]></category>
		<category><![CDATA[Travel]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=2768</guid>
		<description><![CDATA[you have someone playing piano at breakfast in a street cafÃ©. Great little place found in Uptown New Orleans: Oak St. CafÃ©.]]></description>
			<content:encoded><![CDATA[<p>you have someone playing piano at breakfast in a street cafÃ©.</p>
<p>Great little place found in Uptown New Orleans: <a href="http://www.oakstreetcafe.com/">Oak St. CafÃ©</a>.</p>
<p><img src="http://boulders2bits.com/wordpress/wp-content/uploads/OakStreetCafe.jpg" alt="Oak Street Cafe" /></p>
<p><object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/pgAu8gr6u6A&#038;hl=en_US&#038;fs=1&#038;rel=0"></param><param name="allowFullScreen" value="true"></param><param name="allowscriptaccess" value="always"></param><embed src="http://www.youtube.com/v/pgAu8gr6u6A&#038;hl=en_US&#038;fs=1&#038;rel=0" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="344"></embed></object></p>
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		<title>New Orleans Po-Boy Preservation Festival</title>
		<link>http://stay-curious.com/archives/2009/11/22/new-orleans-po-boy-preservation-festival/</link>
		<comments>http://stay-curious.com/archives/2009/11/22/new-orleans-po-boy-preservation-festival/#comments</comments>
		<pubDate>Sun, 22 Nov 2009 17:29:14 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Music]]></category>
		<category><![CDATA[SBL]]></category>
		<category><![CDATA[Travel]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=2770</guid>
		<description><![CDATA[Got some time and want some terrific local food (and plenty of drink)? Head to Uptown and check out the New Orleans Po-Boy Preservation Festival today. We observed some of the set up (and the aromas of the food being prepared) while out and about for breakfast. Looks like some GREAT music will be here [...]]]></description>
			<content:encoded><![CDATA[<p>Got some time and want some terrific local food (and plenty of drink)? Head to Uptown and check out the <a href="http://www.poboyfest.com/">New Orleans Po-Boy Preservation Festiva</a>l today. We observed some of the set up (and the aromas of the food being prepared) while out and about for breakfast. Looks like some GREAT music will be here too.</p>
<p><img src="http://boulders2bits.com/wordpress/wp-content/uploads/poboy_setup.jpg" alt="Po-boy festival setup" /></p>
<p>Here&#8217;s a look at the 2008 festival:<br />
<object width="480" height="295"><param name="movie" value="http://www.youtube.com/v/6Ri5TIIGkuI&#038;hl=en_US&#038;fs=1"></param><param name="allowFullScreen" value="true"></param><param name="allowscriptaccess" value="always"></param><embed src="http://www.youtube.com/v/6Ri5TIIGkuI&#038;hl=en_US&#038;fs=1" type="application/x-shockwave-flash" width="480" height="295" allowscriptaccess="always" allowfullscreen="true"></embed></object></p>
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		<item>
		<title>New Orleans Street Music</title>
		<link>http://stay-curious.com/archives/2009/11/21/new-orleans-street-music/</link>
		<comments>http://stay-curious.com/archives/2009/11/21/new-orleans-street-music/#comments</comments>
		<pubDate>Sat, 21 Nov 2009 13:56:10 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Music]]></category>
		<category><![CDATA[SBL]]></category>
		<category><![CDATA[Travel]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=2750</guid>
		<description><![CDATA[Daytime street musicians in French Quarter.]]></description>
			<content:encoded><![CDATA[<p>Daytime street musicians in French Quarter.</p>
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]]></content:encoded>
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		<slash:comments>4</slash:comments>
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		<title>Theological &#8220;training&#8221; outside the box (way outside)</title>
		<link>http://stay-curious.com/archives/2009/11/04/theological-training-outside-the-box-way-outside/</link>
		<comments>http://stay-curious.com/archives/2009/11/04/theological-training-outside-the-box-way-outside/#comments</comments>
		<pubDate>Wed, 04 Nov 2009 20:48:12 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Academia]]></category>
		<category><![CDATA[Languages]]></category>
		<category><![CDATA[Music]]></category>
		<category><![CDATA[Pedagogy]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=2282</guid>
		<description><![CDATA[If you read Fred Putnam&#8217;s piece about teaching/learning that I mentioned the other day, then you would probably be interested in looking over his very detailed proposal for The New School of Theology. Here&#8217;s a snippet from the proposal, which gives a a basic overview of the vision (later in the proposal are more details): [...]]]></description>
			<content:encoded><![CDATA[<p>If you read Fred Putnam&#8217;s piece about <a href="http://www.fredputnam.org/?q=node/53">teaching/learning</a> that <a href="http://boulders2bits.com/archives/2009/11/03/do-you-teach/">I mentioned</a> the other day, then you would probably be interested in looking over his very <a href="http://www.fredputnam.org/?q=node/54">detailed proposal for <em>The New School of Theology</em></a>. </p>
<p>Here&#8217;s a snippet from the <a href="http://www.fredputnam.org/?q=node/54">proposal</a>, which gives a a basic overview of the vision (later in the proposal are more details):</p>
<blockquote><p>This paper proposes the creation of a unique graduate school that will prepare Christians to minister and to live in light of their faith by becoming thoughtful, reflective men and women. Its curriculum and pedagogy reflect the conviction that fundamental to good ministry and leadership is the ability to listen to and understand three voices: (1) the voice of the author in whatever text is at hand, especially the text of Scripture; (2) voices that express the opinions, fears, hopes, and concerns of others, and the ideas of their culture; and (3) the voice of their own hearts.</p>
<p>The program has three primary aspects, any one of which would make this program unique: (1) all courses are required/prescribed conversational seminars without testing, grades, or lectures (lectures are public supplements to the overall curriculum); (2) all class texts are primary texts, not textbooks (except in Hebrew I, Greek I, and Music I); (3) music is integral to the program.</p>
<p>The goal of this program is to foster an ongoing conversation, an intellectual and spiritual community of maturing learners—in other words, a place where students and faculty together read, think, converse, and thus learn to live and minister by pondering the most important ideas—the permanent ideas—as they are found in the great texts of the Western world.</p></blockquote>
<p>His ideas are very intriguing to me and I wonder what others think of this kind of education (both content and methodology). I do wonder what other texts could be included that are not Western (although that might be difficult unless you work with translations). I understand prioritizing Western texts because we live in the Western world, but I would not want to exclude studying other texts and worldviews and would be careful about privileging Western texts as the primary source of important, permanent ideas.</p>
<p>Anyone know someone with a few million dollars to get it started?</p>
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		<title>GÃ¶del, Escher, Bach: Session 7</title>
		<link>http://stay-curious.com/archives/2009/10/02/godel-escher-bach-geb-session-7/</link>
		<comments>http://stay-curious.com/archives/2009/10/02/godel-escher-bach-geb-session-7/#comments</comments>
		<pubDate>Fri, 02 Oct 2009 21:38:48 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Books]]></category>
		<category><![CDATA[GEB]]></category>
		<category><![CDATA[Languages]]></category>
		<category><![CDATA[Music]]></category>
		<category><![CDATA[OpenCourseware]]></category>
		<category><![CDATA[Science & Math]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=1658</guid>
		<description><![CDATA[A day late. Sorry folks. But I think I may be talking to myself by now. So, since we are at #7, I think I&#8217;ll let that be the perfect ending of our little discussion group (for now). I know this was a little ambitious to take on (schedule-wise), so I will re-think another book [...]]]></description>
			<content:encoded><![CDATA[<p>A day late. Sorry folks. But I think I may be talking to myself by now. So, since we are at #7, I think I&#8217;ll let that be the perfect ending of our little discussion group (for now). I know this was a little ambitious to take on (schedule-wise), so I will re-think another book or topic to do next time.</p>
<blockquote><p><strong>Current Assignment</strong>: For Thursday, October 1<br />
<strong>Read</strong>: Canon by Intervallic Augmentation and Chapter VI: The Location of Meaning<br />
<strong>Listen</strong>: Bach never multiplied the intervals of a theme by 3 1/3. He did multiply them by -1 in this canon by exact inversion, the <a href="http://torg.media.mit.edu/music/bach/geb-06.mp3">Canon Perpetuus</a> from the Musical Offering. An effect of the exact inversion is that the piece has to oscillate constantly between major and minor chords, and technically it can&#8217;t end.</p></blockquote>
<p><strong>The Dialogue: <em>Canon by Intervallic Augmentation</em></strong></p>
<p>This Dialogue between Achilles and the Tortoise tries to resolve the question, &#8216;Which contains more information&#8211;a record, or the phonograph which plays it?&#8221; </p>
<p>(By the way, how many haikus can you find in this dialogue?)</p>
<p><center><img src="http://boulders2bits.com/wordpress/wp-content/uploads/Rosetta_Stone.jpg" alt="Rosetta Stone" /></center></p>
<p><strong>Chapter VI: <em>The Location of Meaning</em></strong></p>
<p>This chapter discusses how meaning is divided among coded message, decoder, and receiver. Hofstadter gives examples of strands of DNA, ancient tablets containing undeciphered inscriptions, and some unusual phonographs.<br />
<span id="more-1658"></span><br />
Suggested questions for the chapter:<br />
<em>Is meaning the interaction of a mind (or mechanism) and a message, or is it inherent in the message?</p>
<p>How would you define information-bearer; information-revealer.</p>
<p>To what extent does your DNA &#8220;mean&#8221; you?</p>
<p>What is the difference between exotic isomorphisms and prosaic isomporhisms?</p>
<p>What does it mean to be &#8220;pulled out&#8221; of DNA?</p>
<p>Does all the information about a organism&#8217;s structure reside in its DNA? Why or why not?</em></p>
<p><em>Consider the record sent to an alien civilization. Does the record still have meaning?</p>
<p>Consider the artifacts sent to us from our past (Stonehenge, Easter Island, etc.). Do you think we are missing some intended meaning?</p>
<p>To what extent is the meaning of mathematical equations (in physics) the physical behavior of the universe?</em></p>
<p><em>What do you think of Hofstadter&#8217;s conjecture, on page 165? &#8220;Meaning is part of an object to the extent that it acts upon intelligence in a predictable way.&#8221;</p>
<p>What are the three layers of any message? How does this relate to the Contracrostipunctus?</p>
<p>What is the &#8220;Jukebox&#8221; Theory of meaning?</p>
<p>Does DNA need a bio-jukebox?<br />
</em></p>
<p>If you are feeling ambitious (or inspired) you can still follow the reading/listening schedule <a href="http://boulders2bits.com/godel-escher-bach-course-schedule/">here</a>. I may end up just doing a &#8220;Cliffs Notes&#8221; summary at some point so that we can move on to some of the discussion I had hoped to have. Namely, how do &#8220;animate beings come out of inanimate material? What is a self, and how can a self come out of stuff that is as selfless as a stone or a puddle?&#8221; (Hofstadter, in the preface to the <a href="http://www.amazon.com/Godel-Escher-Bach-Eternal-Golden/dp/0465026567">20th Anniversary edition of the book</a>)</p>
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		<title></title>
		<link>http://stay-curious.com/archives/2009/09/23/godel-escher-bach-geb-session-5/</link>
		<comments>http://stay-curious.com/archives/2009/09/23/godel-escher-bach-geb-session-5/#comments</comments>
		<pubDate>Thu, 24 Sep 2009 02:37:19 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[GEB]]></category>
		<category><![CDATA[General]]></category>
		<category><![CDATA[Languages]]></category>
		<category><![CDATA[Music]]></category>
		<category><![CDATA[OpenCourseware]]></category>
		<category><![CDATA[Science & Math]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=1466</guid>
		<description><![CDATA[I&#8217;ve been a bit under the weather the past few days, but I don&#8217;t want to get behind on this project. So&#8230; onward! Current Assignment: Thursday, September 24 (where is the month of September disappearing to!!??) Read: Contracrostipunctus and Chapter IV: Consistency, Completeness, and Geometry Listen: Contrapunctus 19 from the Art of Fugue (BWV 1050). [...]]]></description>
			<content:encoded><![CDATA[<p>I&#8217;ve been a bit under the weather the past few days, but I don&#8217;t want to get behind on this project. So&#8230; onward!</p>
<blockquote><p><strong>Current Assignment</strong>: Thursday, September 24 (where is the month of September disappearing to!!??)<br />
<strong>Read</strong>: Contracrostipunctus and Chapter IV: Consistency, Completeness, and Geometry<br />
<strong>Listen</strong>: <a href="http://torg.media.mit.edu/music/bach/geb-04.mp3">Contrapunctus 19</a> from the Art of Fugue (BWV 1050). This performance abruptly ends in the same place that the score ended due to Bach’s death. Bach left his name in the music, as the German notes B-A-C-H, a few measures before the end.</p></blockquote>
<p><strong>Summary of Contrastipunctus</strong><br />
This dialogue is central to the book because it contains a set of paraphrases of Gödel’s self-referential construction and of his Incompleteness Theorem. One of the paraphrases of the Theorem says, “For each record player there is a record which cannot play.” The Dialogue’s title is a cross between the word “acrostic” and the word “contrapunctus,” a Latin word which Bach used to denote the many fugues and canons making up his Art of the Fugue. Some explicit references to the Art of the Fugue are made. The Dialogue itself conceals some acrostic tricks.<br />
<center><img src="http://boulders2bits.com/wordpress/wp-content/uploads/escher-relativity-woodcut-medium.jpg" alt="Escher Relativity" /></center><br />
<strong>(Brief) Summary of  Chapter IV: Consistency, Completeness, and Geometry</strong><br />
The preceding Dialogue is explicated to the extent it is possible at this stage. This leads back to the question of how and when symbols in a formal system acquire meaning. The history of Euclidean and non-Euclidean geometry is given, as an illustration of the elusive notion of “undefined terms.” This leads to ideas about the consistency of different and possibly “rival” geometries. Through this discussion the notion of undefined terms is clarified, and the relation of undefined terms to perception and thought processes is considered.</p>
<p><strong>Discussion Ideas</strong></p>
<ol>
<li>(for the Dialogue) GEB pp. 81 – <em>For instance, Lewis Carroll often hid words and names in the first letters (or characters) of the successive lines in poems he wrote. Poems which conceal messages that way are called “acrostics”. </em>Might this quote apply to this dialogue?</li>
<li>Why does DRH keep apologizing about his use of the term “isomorphism”?</li>
<li>What’s the problem with interpreting mathematical objects? In the case of the modified pq-system? In the case of Euclidean geometry? What’s wrong with our interpretation of a “straight line”?</li>
</ol>
<p><em>(that&#8217;s enough to get you started)</em></p>
<p><a href="http://www.andrewlipson.com/escher/relativity.html"><center><img src="http://boulders2bits.com/wordpress/wp-content/uploads/lego_relativity.jpg" alt="Escher Relativity in Legos" /></center></a><center><em>Click on the photo to view how this image was created.</em></center></p>
<p><strong>Up Next: For Monday, September 28</strong><br />
Read: Little Harmonic Labyrinth and Chapter V: Recursive Structures and Processes<br />
Listen: The <a href="http://torg.media.mit.edu/music/bach/geb-05.mp3">Little Harmonic Labyrinth</a> turns out not to be by Bach at all! It was written instead by his much lesser-known contemporary, Johann David Heinichen. Disappointingly, it doesn’t even have a fake resolution near the end, as the dialogue implies. Also, it’s boring. A completely unrelated piece, however, does have a clear “pushing and popping” structure to it, and a fake resolution:<a href="http://torg.media.mit.edu/music/bach/geb-05b.mp3"> Waltz #2</a> by Billy Joel. Yes, that Billy Joel, retired from pop and writing classical music. Allow Achilles and the Tortoise one more anachronism and pretend this is what they’re listening to.</p>
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		<title></title>
		<link>http://stay-curious.com/archives/2009/09/21/godel-escher-bach-geb-session-4/</link>
		<comments>http://stay-curious.com/archives/2009/09/21/godel-escher-bach-geb-session-4/#comments</comments>
		<pubDate>Mon, 21 Sep 2009 04:21:43 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[Academia]]></category>
		<category><![CDATA[GEB]]></category>
		<category><![CDATA[Languages]]></category>
		<category><![CDATA[Music]]></category>
		<category><![CDATA[OpenCourseware]]></category>
		<category><![CDATA[Science & Math]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=1410</guid>
		<description><![CDATA[We spent the weekend at Bald Head Island with family&#8230; what a great way to say goodbye to summer. In the BHI Conservancy shop we found a tempting book/kit: M. C. Escher Kaleidocycles: An Illustrated Book and 17 Fun-to-Assemble Three-Dimensional Models. , According to the publisher: A Kaliedocycle is a three-dimensional ring made from a [...]]]></description>
			<content:encoded><![CDATA[<p>We spent the weekend at Bald Head Island with family&#8230; what a great way to say goodbye to summer. In the BHI Conservancy shop we found a tempting book/kit: M. C. Escher Kaleidocycles: An Illustrated Book and 17 Fun-to-Assemble Three-Dimensional Models. </p>
<p><center><a href="http://www.amazon.com/Escher-Kaleidocycles-Fun-Assemble-Three-Dimensional/dp/0764931105/ref=sr_1_12?ie=UTF8&#038;s=books&#038;qid=1253504551&#038;sr=8-12"><img src="http://boulders2bits.com/wordpress/wp-content/uploads/kaleidocycles.jpg" alt="Kaleidocycles" /></a>,</center></p>
<p>According to the publisher:</p>
<blockquote><p>A Kaliedocycle is a three-dimensional ring made from a chain of solid figures enclosed or bonded [<em>sic</em>] by four triangles. These kaleidocycles are adaptations of Escher&#8217;s two-dimensional images of fish, angels, flowers, people, etc., transformed into uniform, interlocking, three-dimensional objects whose patters [<em>sic</em>] wrap endlessly. <em>Kaleidocycles</em> contains a 48-page book with over 80 reproductions and diagrams, assembly instructions, and a fascinating discussion of the geometric principles and artistic challenges underlying Escher&#8217;s designs and their transformation to three-dimensional models; and seventeen die-cut, scored, three-dimensional models (11 kaleidocycles and 6 geometric solids).</p></blockquote>
<p>I was so tempted to buy the set, but I resisted. You might enjoy finding some similar projects online for free (let me know if you find any). Anyway, on to the assignment at hand.</p>
<blockquote><p><strong>Current Assignment</strong>: Monday, September 21<br />
<strong>Read</strong>: Sonata for Unaccompanied Achilles and Chapter III: Figure and Ground<br />
<strong>Listen</strong>: <a href="http://torg.media.mit.edu/music/bach/geb-03.mp3">Sonata No. 1 for solo violin: Adagio</a> (BWV 1001). If an accompanied version of this exists somewhere, I don’t know where to find it.
</p></blockquote>
<p><span id="more-1410"></span><br />
<strong>Summary of Sonata for Unaccompanied Achilles:</strong><br />
This Dialogue imitates the Bach Sonatas for Unaccompanied Violin. In particular, Achilles is the only speaker, since it is a transcript of one end of a telephone call, at the far end of which is the Tortoise. Their conversation concerns the concepts of  “figure” and “ground” in various contexts –e.g. Escher’s art. The Dialogue itself forms an example of the distinction, since Achilles’ lines form a “figure”, and the Tortoise’s lines – implicit in Achilles’ lines – form a “ground.”<br />
<strong><br />
Summary of Chapter III: Figure and Ground</strong><br />
The distinction between figure and ground in art is compared to the distinction between theorems and non-theorems in formal systems. The question “Does a figure necessarily contain the same information as its ground” leads to the distinction between recursively enumerable sets and recursive sets.</p>
<p><strong>Discussion Question (just one):</strong><br />
Explain Figure 18 (p. 71) as you understand it to your roommate, co-worker, significant other, or even a random passerby.<br />
<center><img src="http://boulders2bits.com/wordpress/wp-content/uploads/figure18.jpg" alt="Figure 18" /></center></p>
<p><strong>Up Next</strong>: For Thursday, September 21<br />
Read: Contracrostipunctus and Chapter IV: Consistency, Completeness, and Geometry<br />
Listen: <a href="http://torg.media.mit.edu/music/bach/geb-04.mp3">Contrapunctus 19</a> from the Art of Fugue (BWV 1050). This performance abruptly ends in the same place that the score ended due to Bach’s death. Bach left his name in the music, as the German notes B-A-C-H, a few measures before the end.</p>
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		<slash:comments>5</slash:comments>
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		<link>http://stay-curious.com/archives/2009/09/17/godel-escher-bach-geb-session-3/</link>
		<comments>http://stay-curious.com/archives/2009/09/17/godel-escher-bach-geb-session-3/#comments</comments>
		<pubDate>Thu, 17 Sep 2009 04:26:12 +0000</pubDate>
		<dc:creator>Karyn</dc:creator>
				<category><![CDATA[GEB]]></category>
		<category><![CDATA[Languages]]></category>
		<category><![CDATA[Music]]></category>
		<category><![CDATA[OpenCourseware]]></category>
		<category><![CDATA[Science & Math]]></category>

		<guid isPermaLink="false">http://boulders2bits.com/?p=1372</guid>
		<description><![CDATA[I hope the MU puzzle didn&#8217;t discourage too many of you from continuing to read this book (see here for explanation of what we are doing and here for a schedule). I&#8217;m going to assume it was a busy weekend and people just didn&#8217;t get around to posting anything about the last section. That&#8217;s ok. [...]]]></description>
			<content:encoded><![CDATA[<p>I hope the MU puzzle didn&#8217;t discourage too many of you from continuing to read this book (see <a href="http://boulders2bits.com/archives/2009/08/22/and-now-for-something-totally-different-godel-escher-bach-virtual-course/">here</a> for explanation of what we are doing and <a href="http://boulders2bits.com/godel-escher-bach-course-schedule/">here</a> for a schedule). I&#8217;m going to assume it was a busy weekend and people just didn&#8217;t get around to posting anything about the last section. That&#8217;s ok. Let&#8217;s continue on.</p>
<blockquote><p><strong>Current Assignment</strong>: Thursday, September 17<br />
<strong>Read</strong>: Two-Part Invention and Chapter II: Meaning and Form in Mathematics<br />
<strong>Listen</strong>: <a href="http://torg.media.mit.edu/music/bach/geb-02.mp3">Two-Part Invention in C major</a> (BWV 772) </p></blockquote>
<p><strong>Summary of Chapter II:</strong><br />
A new formal system (the pq-system) is presented, even simpler than the MIU-system of Chapter I. Apparently meaningless at first, its symbols are suddenly revealed to possess meaning by virtue of the form of the theorems they appear in. This revelation is the first important insight into meaning: its deep connection to isomorphism. Various issues related to meaning are then discussed, such as truth, proof, symbol manipulation, and the elusive concept, “form.”</p>
<p><strong>Discussion Questions:</strong><br />
<em>What is the difference between meaning in a formal system and meaning in a human language?</p>
<p>What is the difference between active and passive meaning?</em></p>
<p>For those of you silently reading/skimming along, don&#8217;t get discouraged about all this mathematics stuff. We&#8217;re just laying a foundation for the meatier discussions to come. I&#8217;m hoping you will start to see connections to other areas of study and life. </p>
<p><strong>Up Next</strong>: For Monday, September 21<br />
Read: Sonata for Unaccompanied Achilles and Chapter III: Figure and Ground<br />
Listen: <a href="http://torg.media.mit.edu/music/bach/geb-03.mp3">Sonata No. 1 for solo violin: Adagio</a> (BWV 1001). Anyone know where to find an accompanied version of this?</p>
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		<slash:comments>2</slash:comments>
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