(no subject)
Jun. 20th, 2026 08:17 pmWe define the central notion of a domain as a set of integral dimensions that are separable from all other dimensions.
--- Peter Gärdenfors, Matías Osta-Vélez. Reasoning with Concepts: Conceptual Spaces as a Framework, 2026.
https://direct.mit.edu/books/oa-monograph/6152/Reasoning-with-ConceptsConceptual-Spaces-as-a
Remarkably, business textbooks love two-dimensional diagrams, which allow to define a domain with the minimal number of separable dimensions.
Exercise for the reader: place Putin and Trump on the diagram, wrt the former's war with Ukraine and the latter's war with Iran. Explain.

Conversely, trade-offs allow to collapse a domain into one dimension.
The central notion of conceptual space is defined as a collection of
one or more domains with a distance function (a metric) that represents
properties, concepts, and their similarity relations.
-- ibid.
