№ Quantum Mathematics UTSA

Tame and wild theories

An introduction to the logic of dependence and independence

Lecture notes · José Iovino

© 2026 José Iovino. All rights reserved. Work in progress: please link to this page rather than posting copies.

In a stable theory, independence obeys all the laws it obeys for vectors and transcendental numbers; in a treeless theory, all of them but uniqueness.

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dependenceindependencestabilityNIPsimplicityVC-dimensionforkingrandom graphFraïssé limitsmodel theory