more from this thinker | more from this text
Full Idea
What is it about the intrinsic properties of just that one unit set in virtue of which Bill Clinton is related to just it and not to any other unit sets in the set-theoretical universe?
Gist of Idea
What is special about Bill Clinton's unit set, in comparison with all the others?
Source
Charles Chihara (A Structural Account of Mathematics [2004], 01.5)
Book Ref
Chihara,Charles: 'A Structural Account of Mathematics' [OUP 2004], p.25
A Reaction
If we all kept pet woodlice, we had better not hold a wood louse rally, or we might go home with the wrong one. My singleton seems seems remarkably like yours. Could we, perhaps, swap, just for a change?
| 15505 | If a set is 'a many thought of as one', beginners should protest against singleton sets [Cantor, by Lewis] |
| 6103 | Normally a class with only one member is a problem, because the class and the member are identical [Russell] |
| 13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
| 10813 | What on earth is the relationship between a singleton and an element? [Lewis] |
| 10814 | Are all singletons exact intrinsic duplicates? [Lewis] |
| 15497 | We can replace the membership relation with the member-singleton relation (plus mereology) [Lewis] |
| 15506 | If we don't understand the singleton, then we don't understand classes [Lewis] |
| 15511 | If singleton membership is external, why is an object a member of one rather than another? [Lewis] |
| 15513 | Maybe singletons have a structure, of a thing and a lasso? [Lewis] |
| 9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
| 8956 | What is a singleton set, if a set is meant to be a collection of objects? [Szabó] |
| 14243 | The unit set may be needed to express intersections that leave a single member [Oliver/Smiley] |