1. The Musico-Linguistics Meme: • Recursion and American Academic Inquiry into • Musical Meaning since Bernstein in Boston • Presentation by Jordan Randall Smith December 19, 2012

2. Deep Structure v. Surface Structure • John is eager to please. • John is easy to please. Keller (1978)

3. Deep Structure v. Surface Structure • John is eager to please. • John is easy to please. Keller (1978)

4. Deep Structure v. Surface Structure eager easy { } John is to please. Keller (1978)

5. Deep Structure v. Surface Structure eager easy { } John - is to - please. Keller (1978)

6. Deep Structure v. Surface Structure eager easy { } John - is to - please. Keller (1978)

7. Deep Structure v. Surface Structure John - is - easy - to - please. Keller (1978)

8. Deep Structure v. Surface Structure John is easy for Mary to please. Keller (1978)

9. Deep Structure v. Surface Structure It is easy (for Mary) to please John. Keller (1978)

10. Recursion

11. Recursion • n! = n * (n - 1)! • 4! = 4 * (4 - 1)! • = 4 * 3 * (3 - 1)! • = 4 * 3 * 2 * (2 - 1)! • = 4 * 3 * 2 * 1 • = 24

12. Recursion Figure 1. Sierpinski triangle. (fair use)

13. Recursion

14. Recursion

15. Recursion

16. Recursion [Handout]

17. Recursion Figure 2. M.C. Escher, Drawing Hands, 1948 (fair use)

18. Thank You