John Bigelow on Instantiation - Dictionary of Arguments
Instantiation/Universal/Antisymmetry/Bigelow/Pargetter: Instantiation is an antisymmetric relation:
If x instantiates y, y cannot inversely instantiate x.
Order: from the antisymmetry arises an order that can be
b) a tree structure. For example, the relation "parents of".
Instantiation/Bigelow/Pargetter: (see above Chapter 2) cannot be a universal itself. (Example: chemical molecules require more than one instance of a universal, the element. Absurd: 2 hydrogen atoms cannot be two different universals within one molecule).
Universals/Strawson: (1959) there is a "non-relational connection" between a particular and a universal.
Armstrong: (1978): ditto_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
J. Bigelow, R. Pargetter
Science and Necessity Cambridge 1990