Euclidian geometry is a building block for conceptualization.
The meaning of purpose depends on the meaning of function and function is used throughout this book to contrast with structure. Structure is a very general concept that includes geometric, kinematic, mechanical, physical, and morphological concepts. Therefore,we treat these aspects of structure first, then derive the meaning of structure from them.
Euclid's geometry begins with a set of concepts and properties of which the most elementary are point and line. Concepts of other geometric entities and properties are built out of these basic building blocks. (PS l6)
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