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Theory of Mind as Gradual Change Guided by<br />

Minimalisms<br />

Gerhard Chr. Bukow<br />

The paper assumes that an important ability of Theory of Mind is the ability to follow<br />

changes in thoughts. Agents are assumed to develop theories and schemas about thoughtfollowing<br />

and they do apply different constraints on such theories like minimalisms.<br />

However, what does it mean to follow and exactly “what” is it that agents follow? How are<br />

changes in agents and changes in domains related? By considering thought-following in the<br />

domain of qualitative spatial reasoning in cognitive psychology, different minimalisms and<br />

schemas of thought-following are discussed. Finally, the paper considers the consequences of<br />

the approach for our view on Theory of Mind in philosophy and psychology.<br />

1. Qualitative Spatial Reasoning and Theory of Mind<br />

Consider the following situation: two engineers work on the problem how to place some very<br />

huge elements such that they fit into a given environment and fulfil a certain function. Think<br />

about huge mechanical devices for a ship or so. They use some special cars or so that enable<br />

them to move the devices. However, both of them cannot directly see what the other can see.<br />

From their own point of view, they must reason to take the perspective of the other. Even if<br />

they could directly see what the other can see, they must reason with respect to the function<br />

the elements should do. In the situation, the elements are first placed wrongly so they must<br />

move them step by step. And step by step, each of them must reason what the other sees and<br />

consequently does in order to move the elements adequately. To sum up: one person has to<br />

“follow” or “track” the other person step by step. But how is this tracking done, what does<br />

perspective-taking mean in the sense of agents that track each other? Let us explore this.<br />

Cognitive psychology has explored in detail how humans qualitatively reason about spatial<br />

relations. The best known approach (in terms of successful prediction and explanation in<br />

terms of cognitive architectures) uses conceptual neighborhood graphs to analyze the gradual<br />

change of spatial relations between objects. Such graphs allow us to say something about the<br />

conceptual distance between different situations describing the objects’ spatial relations. And<br />

it allows us to say what (perhaps single) operations are needed to get from one situation to<br />

another one. In the figure below you can see such a graph and the different possible “moves”<br />

two objects could do (the original context was the use of such a graph to say something<br />

qualitatively about the similarity of two spatial situations).<br />

In each case, the one worker could (at least in theory) say how much distance between two<br />

situations is, or how much distance there is between “his own” situation and the situation of<br />

the co-worker. Of course, he does not so by directly “seeing” the others mental<br />

representations, for example the mental models representing the spatial situation. But he can<br />

make a plan how he would gradually change the situation such that the other can see it.

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