2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78200We observe that most known results of the form "v is not a finite-type invariant" follow from two basic theorems. Among those invariants which are not of finite type, we discuss examples which are "ft-independent" and examples which are not. We introduce (n,q)-finite invariants, which are generalizations of finite-type invariants based on Fox's (n,q) congruence classes of knots.6 pages, no figuresGeometric TopologyQuantum Algebra57M25text