@misc{Lexicon of Arguments,
title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024},
author = {Bigelow,John},
subject = {Structures},
note = {I 45
Structure/Mathematics/Bigelow/Pargetter: it has sometimes been discovered that structures originating from very different areas are sometimes identical:
I 46
This means that two relations can be coextensive. What only matters is then what they have in common.
>Coextension, >Relations.
Def Set/Bigelow/Pargetter: are what coextensive universals have in common: their extension. This puts them relatively high in the hierarchy. That is why they appeared so late in mathematics.
>Sets, >Set theory.
Special case:
Random sets/Bigelow/Pargetter: have nothing in common with anything else except their elements. That is why they are nothing that coextensive universals have in common.
Hierarchy/Sets/Bigelow/Pargetter: it is controversial, where you should place sets in the hierarchy of universals.
>Universals, >Hierarchies.},
note = { Big I J. Bigelow, R. Pargetter Science and Necessity Cambridge 1990
},
file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=746982}
url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=746982}
}