chapter  5
15 Pages

Reduction of property spaces in theorizing

In the former chapter, we were interested in how to construct property spaces.

Now we will look at ways of refining them when you have them in front of you,

when they are already constructed. Property spaces are helpful tools for theorizing –

not just when you combine dimensions and their properties in building them or

seeking a frame from types. There are many further uses of them for theoretical

purposes. These uses can be classified in two types: reduction and expansion of a

property space, respectively. In this chapter, we take up reduction, in the next,

expansion. In both cases there are theoretical costs involved in the operations and

we discuss these risks in each case.