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

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semantic lives, in which they have meanings and symbolic relations to the outside<br />

world. (Haugeland, 1985, p. 100)<br />

Let us briefly consider these two lives. First, we have noted that the rules <strong>of</strong> a physical<br />

symbol system operate on symbolic components <strong>of</strong> a whole expression. For this<br />

to occur, all that is required is that a rule identifies a particular physical entity as<br />

being a token or symbol <strong>of</strong> a particular type. If the symbol is <strong>of</strong> the right type, then<br />

the rule can act upon it in some prescribed way.<br />

For example, imagine a computer program that is playing chess. For this program,<br />

the “whole expression” is the total arrangement <strong>of</strong> game pieces on the chess<br />

board at any given time. The program analyzes this expression into its components:<br />

individual tokens on individual squares <strong>of</strong> the board. The physical characteristics<br />

<strong>of</strong> each component token can then be used to identify to what symbol class it<br />

belongs: queen, knight, bishop, and so on. Once a token has been classified in this<br />

way, appropriate operations can be applied to it. If a game piece has been identified<br />

as being a “knight,” then only knight moves can be applied to it—the operations that<br />

would move the piece like a bishop cannot be applied, because the token has not<br />

been identified as being <strong>of</strong> the type “bishop.”<br />

Similar syntactic operations are at the heart <strong>of</strong> a computing device like a Turing<br />

machine. When the machine head reads a cell on the ticker tape (another example<br />

<strong>of</strong> componentiality!), it uses the physical markings on the tape to determine that<br />

the cell holds a symbol <strong>of</strong> a particular type. This identification—in conjunction with<br />

the current physical state <strong>of</strong> the machine head—is sufficient to determine which<br />

instruction to execute.<br />

To summarize, physical symbol systems are syntactic in the sense that their rules<br />

are applied to symbols that have been identified as being <strong>of</strong> a particular type on the<br />

basis <strong>of</strong> their physical shape or form. Because the shape or form <strong>of</strong> symbols is all that<br />

matters for the operations to be successfully carried out, it is natural to call such<br />

systems formal. Formal operations are sensitive to the shape or form <strong>of</strong> individual<br />

symbols, and are not sensitive to the semantic content associated with the symbols.<br />

However, it is still the case that formal systems can produce meaningful expressions.<br />

The punched cards <strong>of</strong> a Jacquard loom only manipulate the positions <strong>of</strong><br />

thread-controlling rods. Yet these operations can produce an intricate woven pattern<br />

such as Jacquard’s portrait. The machine head <strong>of</strong> a Turing machine reads and<br />

writes individual symbols on a ticker tape. Yet these operations permit this device to<br />

provide answers to any computable question. How is it possible for formal systems<br />

to preserve or create semantic content?<br />

In order for the operations <strong>of</strong> a physical symbol system to be meaningful,<br />

two properties must be true. First, the symbolic structures operated on must have<br />

semantic content. That is, the expressions being manipulated must have some relationship<br />

to states <strong>of</strong> the external world that permits the expressions to represent<br />

80 Chapter 3

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