Counter object, method and system

An object including a housing, a cone movably received in the housing, a piston body attached to the cone, a valve disposed as a part of the object and separating hydrostatic pressure from pressure at an interface between the housing and the piston body, and a trigger configured to open the valve at a selected circumstance. A method for moving a selected downhole tool including running an object into a borehole, counting features in the borehole using a sensor in the object, opening the valve at a selected count, flooding the interface with hydrostatic pressure, driving the piston body away from the housing, and moving a radially expandable shoulder member toward a larger diameter end of the cone. A borehole system including a borehole in a subsurface formation, a string disposed in the borehole, and an object disposed within or as a part of the string.