December 19, 2012

The Musico-Linguistics Meme:

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

Presentation by Jordan Randall Smith

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

easyJohn is to please.

Keller (1978)

{ }

Deep Structure v. Surface Structure

eager

easyJohn - is to - please.

Keller (1978)

{ }

Deep Structure v. Surface Structure

eager

easyJohn - is to - please.

Keller (1978)

{ }

Deep Structure v. Surface Structure

Keller (1978)

John - is - easy - to - please.

Deep Structure v. Surface Structure

Keller (1978)

John is easy for Mary to please.

Deep Structure v. Surface Structure

Keller (1978)

It is easy (for Mary) to please John.

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