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Mind, Body, World- Foundations of Cognitive Science, 2013a

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For instance, the exposition uses its first sub-segment to introduce an opening<br />

theme in the tonic key, that is, the initial key signature <strong>of</strong> the piece. The exposition’s<br />

second sub-segment then presents a second theme in the dominant key, a perfect<br />

fifth above the tonic. The final sub-segment <strong>of</strong> the exposition finishes with a closing<br />

theme in the dominant key. The recapitulation has a substructure that is related to<br />

that <strong>of</strong> the exposition; it uses the same three themes in the same order, but all are<br />

presented in the tonic key. The development section, which falls between the exposition<br />

and the recapitulation, explores the exposition’s themes, but does so using<br />

new material written in different keys.<br />

Sonata-allegro form foreshadowed the modern symphony and produced a market<br />

for purely instrumental music (Rosen, 1988). Importantly, it also provided a structure,<br />

shared by both composers and their audiences, which permitted instrumental music<br />

to be expressive. Rosen notes that the sonata became popular because it,<br />

has an identifiable climax, a point <strong>of</strong> maximum tension to which the first part <strong>of</strong><br />

the work leads and which is symmetrically resolved. It is a closed form, without the<br />

static frame <strong>of</strong> ternary form; it has a dynamic closure analogous to the denouement<br />

<strong>of</strong> 18 th -century drama, in which everything is resolved, all loose ends are tied up,<br />

and the work rounded <strong>of</strong>f. (Rosen, 1988, p. 10)<br />

In short, the sonata-allegro form provided a logical structure that permitted the<br />

music to be meaningful.<br />

The idea that musical form is essential to communicating musical meaning<br />

brings us to the second parallel between classical music and classical cognitive science:<br />

both domains presume that their formal structures are content-bearing.<br />

Classical cognitive science explains cognition by invoking the intentional<br />

stance (Dennett, 1987), which is equivalent to relying on a cognitive vocabulary<br />

(Pylyshyn, 1984). If one assumes that an agent has certain intentional states (e.g.,<br />

beliefs, desires, goals) and that lawful regularities (such as the principle <strong>of</strong> rationality)<br />

govern relationships between the contents <strong>of</strong> these states, then one can use the<br />

contents to predict future behaviour. “This single assumption [rationality], in combination<br />

with home truths about our needs, capacities and typical circumstances,<br />

generates both an intentional interpretation <strong>of</strong> us as believers and desirers and<br />

actual predictions <strong>of</strong> behavior in great pr<strong>of</strong>usion” (Dennett, 1987, p. 50). Similarly,<br />

Pylyshyn (1984, pp. 20–21) noted that “the principle <strong>of</strong> rationality . . . is indispensable<br />

for giving an account <strong>of</strong> human behavior.”<br />

Is there any sense in which the intentional stance can be applied to classical<br />

music? Classical composers are certainly <strong>of</strong> the opinion that music can express<br />

ideas. Copland noted that,<br />

my own belief is that all music has an expressive power, some more and some less,<br />

but that all music has a certain meaning behind the notes and that that meaning<br />

268 Chapter 6

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