General-Arminian
Christ died indifferently for all, the application conditioned on foreseen faith — the Arminian position rejected by III.6.
This is a contested or rejected alternative.
The Westminster baseline on Extent of Atonement is Particular. Personas and schools listed below hold this alternative position instead — either because they argued for it at the Assembly (like the Erastians on polity) or because they represent a receiving tradition that departed from the Standards on this point.
Cruxes on this attribute
The Assembly navigated 1 crux that bear directly on Extent of Atonement.
Other positions on Extent of Atonement
Particular WCF
Christ purchased redemption only for the elect; the atonement is intended, designed, and applied for the elect alone (WCF III.6, VIII.5, VIII.8).
Hypothetical-Universal
Christ's death is sufficient for all and intended conditionally for all who believe, while efficacious only for the elect — the Calamy-Davenant-Vines reading the Standards' language does not exclude.