Mathematical Discovery

Discovery of geometric/topological truths (e.g., neusis construction) that go beyond current AI capabilities, as discussed by Sloman.

Neighborhood — ranked by edge-count

concept

Spatial Reasoning
associated_with
The ability to reason about shapes, space, and topology, essential for ancient mathematical discoveries and observed in many animals.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Discoveryconcept0.827
possibility of discoveryconcept0.789
Another outcome proportional to environmental variables in the theory.
Drug discoveryconcept0.784
Application domain suggested for the method, involving generation of drug candidates.
Materials Discoveryconcept0.779
Domain of applying generative models to find novel materials with targeted properties (e.g., semiconductors with specific bandgaps).
Proto-Mathematicsconcept0.743
Alexander's term for his treatment of wholeness: a structural idea that is mathematical in principle but not yet formalized enough to calculate with
Mathematical Constructivismconcept0.741
Position that our access to reality consists in manipulation of models; grounds computationalism in CIMC's framework
Geometryconcept0.731
The actual shapes and spatial relationships of buildings, essential to living structure.
Conjectureinstitute0.725
The organization where the work was carried out.