Yablo's independence criterion requires that intrinsic properties be ones whose instantiation is independent of what accompanies the object, but mathematical existence is not accompaniment-dependent.
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The formal relation between a mode and the universal attribute the mode instantiates; it is part of a mode's essence that it instantiates the specific attribute it does
intrinsic properties(Contrasted with structural properties revealed by physics)
Properties which supposedly underlie and account for the structural properties of things.