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The Musico-Linguistics Meme:

Recursion and American Academic Inquiry into
Musical Meaning since Bernstein in Boston

Presentation by Jordan Randall Smith



December 19, 2012
Deep Structure v. Surface Structure




    John is eager to please.

    John is easy to please.




Keller (1978)
Deep Structure v. Surface Structure




                John is eager to please.

                John is easy to please.




Keller (1978)
Deep Structure v. Surface Structure




                          { }
                          eager
                John is           to please.
                          easy




Keller (1978)
Deep Structure v. Surface Structure




                                { }
                                eager
                John   -   is           to   -   please.
                                easy




Keller (1978)
Deep Structure v. Surface Structure




                                { }
                                eager
                John   -   is           to   -   please.
                                easy




Keller (1978)
Deep Structure v. Surface Structure




                John - is - easy - to - please.




Keller (1978)
Deep Structure v. Surface Structure




                John is   easy   for   Mary   to please.




Keller (1978)
Deep Structure v. Surface Structure



                It   is   easy   (for   Mary) to please   John.




Keller (1978)
Recursion
Recursion

n!   =   n    *   (n - 1)!

4!   =   4    *    (4 -      1)!

     =   4    *    3    *    (3 -      1)!

     =   4    *    3    *    2     *   (2 -   1)!

     =   4    *    3    *    2     *   1

     =   24
Recursion




            Figure 1. Sierpinski triangle. (fair use)
Recursion
Recursion
Recursion
Bernstein Excerpt
Recursion



            [Handout]
Recursion




            Figure 2. M.C. Escher, Drawing Hands, 1948 (fair use)
Thank
You

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The "Musico-Linguistics" Meme

Editor's Notes

  1. NEXT: Penrose http://www.youtube.com/watch?v=dvSD1EAlAUQ
  2. If one assumes, for the moment, that sentence structure is exhaustively describable by some kind of sentence parsing , or constituent analysis , then there is no way to make explicit certain fundamental differences of structure between the two. This is kind of like reducing fractions and crossing out redundant denominators
  3. If one assumes for the moment , that sentence structure is exhaustively describable by some kind of sentence parsing , or constituent analysis , then there is no way to make explicit certain fundamental differences of structure between the two. This is kind of like reducing fractions and crossing out redundant denominators
  4. A breakdown or division into components, or constituents , would be the same for both sentences: NEXT: Recursive Structures 3 http://www.youtube.com/watch?v=kjeut__QFo8&feature=youtube_gdata_player
  5. A breakdown or division into components, or constituents , would be the same for both sentences:
  6. A breakdown or division into components, or constituents, would be the same for both sentences:
  7. A breakdown or division into components, or constituents, would be the same for both sentences:
  8. A breakdown or division into components, or constituents, would be the same for both sentences: NEXT: Recursive Structures 6
  9. NEXT: Bernstein http://www.youtube.com/watch?v=7SaI8T3pcE8&feature=youtube_gdata_player
  10. NEXT: Penrose http://www.youtube.com/watch?v=OJ0wCfla_gs