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from Geometry and Meaning, Dominic Widdows:

“This is the final chapter in our story, and it explains how many of the mathematical systems we have encountered (hierarchies, vector spaces, and logic) can be viewed as special examples of a space called a lattice...

This process of branching out is very important and healthy --- ideas that germinate in one field often bring insight, provoke questions and take on new form in completely different fields. But diversification can also lead to fragmentation, and some of the most important scientific advances have happened when scholars realized that ideas couched in very different terminology could actually be described by a single unified model...