There are no necessary connections between the accidental, intrinsic properties of distinct contingently existing non-overlapping entities related by a fundamental relation (the No Necessary Connections principle).
A basic, primary connection or relationship between things—one that doesn't need to be explained by anything deeper. It's a 'ground level' kind of relationship in reality.
Non-overlapping entities(clarifies which entities are being discussed)
Separate things that don't occupy the same space or share the same identity. Two chairs are non-overlapping; a chair and its armrest are overlapping (the armrest is part of the chair).
Properties of an object that can be gained and lost over time and which the object might never have possessed at all
intrinsic properties(Contrasted with structural properties revealed by physics)
Properties which supposedly underlie and account for the structural properties of things.
necessary connection(Hume's account of the origin of the concept of causation, Treatise I.III.14)
The felt sense of the mind being pulled from one impression to an associated idea, which the mind then projects onto external objects as if it were a connection among the objects themselves
(NNC): Let F and G be accidental, intrinsic properties; let R be a fundamental relation; let x and y be contingently existing non-overlapping entities. Then it is not the case that, necessarily, Rxy only if (Fx if and only if Gy)…if we accept the Humean premise that there are no necessary connections between the accidental, intrinsic properties of regions of space and the accidental, intrinsic properties of material objects, then we should hold that there are no necessary connections between the