more from this thinker
|
more from this text
Single Idea 10814
[filed under theme 4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
]
Full Idea
Are all singletons exact intrinsic duplicates?
Gist of Idea
Are all singletons exact intrinsic duplicates?
Source
David Lewis (Mathematics is Megethology [1993], p.13)
Book Ref
-: 'Philosophia Mathematica' [-], p.13
The
12 ideas
with the same theme
[status of a set having a single member]:
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]
|