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CHAPTER 10

# Space

Many instances of commonsense reasoning involve space. In this chapter, we present two event calculus axiomatizations of space: relational space and metric space. We describe how these axiomatizations can be used to solve some sample problems. A closely related issue that we consider is object identity: Two objects observed at different times and locations in space may or may not be the same object.

## 10.1 Relational Space

In the commonsense world, objects stand in various spatial relations to other objects. For example, a pencil is in a jar, a person is in a room, a person is holding a book, a glass is on a table, or a person is wearing a shirt. A relational space consists of a set of objects and a binary relation on the set. ...

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