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8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation

[a relation which is passed from one thing to the next]

4 ideas
'Ancestral' relations are derived by iterating back from a given relation [Frege, by George/Velleman]
An ancestral relation is either direct or transitively indirect [Wiggins]
The 'ancestral' of a relation is a new relation which creates a long chain of the original relation [Smith,P]
'Greater than', which is the ancestral of 'successor', strictly orders the natural numbers [Potter]