Bradford Books, MIT Press, 1995,

Copied here with his permission.

See http://www.cs.bham.ac.uk/research/projects/cogaff/misc/FranklinSlomanFreewill.html

Franklin's notes to that paper:

1. Well, almost neither. Since writing the first draft of this chapter, I've

published an article in a philosophy of computing journal (Franklin and Garzon 1992).

2. A kind reviewer suggested I clarify the "essentially" that begins this sentence. I have written several papers on artificial neural networks (in collaboration with Max Garzon, John Caulfield, and others), one on genetic algorithms (with David Kilman and others), and a couple in cognitive science (with Art Graesser, Bill Baggett, and others). A sampling can be found under these names in the references. All this is in order that you not take me for "a computer hack . . . spending his spare time writing speculative pop science/philosophy." Still, I stand by my claim to amateur status.

3. The following account is taken largely from Armstrong (1987).

4. The first verse of the Tao Te Ching, the Taoist bible, warns us that the Tao that can be spoken of cannot be the true Tao.

5. In the following description my mathematician self, who's gotten little exercise so far on the tour, slips out to provide a mathematical definition of a continuous dynamical system. This note is intended to explain some of the notation. [0,] denotes the set of all nonnegative real numbers, t [0,] says that t belongs to that set.

X x [0,]denotes the set of ordered pairs (x, t) with x in X and t in [0,].

The mapping T assigns to each such ordered pair some state in X. A vector space, in this context, can be thought of as all vectors, that is, ordered lists, of real numbers of some fixed length d, where d is the dimension of the space. Differential equations can be thought of as equations involving rates of change whose solutions are mappings.

6. My friend Art Graesser points out that cognitive scientists tend to view the mind as an "abstract information system." While this certainly seems a valid approach, the dynamical systems view might well prove more suitable for our endeavor of searching out mechanisms of mind. The dynamical systems view can hope to take us back to neural mechanisms for human minds, while the abstract information system view must stop at least somewhat short.

7. I'm indebted to Phil Franklin for pointing this out.

8. Due originally to Frank Jackson (1982).

9. This seems to be the conclusion drawn from the thought experiment by many philosophers of mind. An exception is Dennett (1991, pp. 398ff).

10. Science does study classes of subjective states. If a number of people were to experience a particular stimulus, you'd get a class of subjective states, which may have properties that you can study scientifically. Cognitive psychologists do just that. They build theories that try to predict the properties of such classes of subjective states resulting from the perception of a given stimulus.

11. Nick Herbert and Brian Rotman have kindly pointed out that this description of information dates back to Gregory Bateson. Chalmers also.

12. Computer scientists speak of a Boolean variable, or just Boolean, as one that assumes only two values, usually 0 and 1. A scalar variable, or scalar, assumes one of some finite set of values.