logical geometry

interdisciplinary framework

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.

In our investigations, we have made use of a variety of formal, empirical and historical perspectives as well as design strategies and applications:

abstract-logical perspectives

logic
see Paper P12, Paper P14, Paper P17, Paper P20.
formal semantics
see Paper P1, Paper P5, Book B1.
group theory
see Paper P3, Paper P18.
lattice theory
see Paper P1, Paper P6, Paper P14.

visual-geometric perspectives

geometry
see Paper P6, Paper S7.
cognitive psychology and diagram design
see Paper P6, Paper P7, Paper P13.
group theory
see Paper P16.
computer graphics
see Paper P12

history and applications

historical aspects
see Paper P19, Talk T21.
applications in logic education
see Paper S2.
the interface between formal and natural languages
see Paper P8, Paper P14.