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3.2 Extending HI

To the postulates of HI, C adds P7-P9.
P7 for allwxyz(w.X = y.Zequivalent(w ex X & w ex Z & y ex X))

(w.X = y.Z just in case w exemplifies X and Z, and y exemplifies X.)
P8 for allxyz(x.Y emb Zequivalentx ex Y & x ex Z)

(x.Y embodies Z just in case x exemplifies Y and Z.)
P9 for allxyz(x.Y cont zequivalentx ex Y & z ex Y)

(x.Y contains z just in case x and z exemplify Y.)
P7 determines when complexes are identical; P8, when a complex embodies a haecceity; and P9, when a complex contains an individual. In so doing, P7-P9 determine--together with P1-P6--the properties of identity as this relation applies to complexes.

Identity in C

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