@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} }