# logical, linguistic and conceptual systems

The central aim of Logical Geometry is to develop an interdisciplinary framework for the study of logical diagrams in the analysis of logical, linguistic and conceptual systems.

Throughout history a variety of authors have constructed logical diagrams for analysing logical, linguistic and conceptual systems such as syllogistics, propositional logic, modal logic, generalized quantifiers, aspectual adverbs, colour concepts and metalogical concepts.

In our own work we have focussed on constructing logical diagrams for:

## logic

## linguistics

## conceptual systems

- the Aristotelian relations themselves
- see Paper P8, Paper P14.
- the duality relations themselves
- see Paper P14.
- abstract ordering relations
- see Paper P14, Talk L7.
- the metalogical concepts of tautology, satisfiability etc.
- see Paper S2, Paper P14.
- the logical concepts of dependence and independence
- in preparation.