We can think of each set as a single entity in itself, and we can denote it (and usually do) by means of a single symbol.
That is, anything you care to think of can be a set. This concept is known as the comprehension principle.
Hence some sources define a set as a 'well-defined' collection of objects, leaving the concept of what constitutes well-definition to later in the exposition.
Pages in category "Definitions/Sets"
The following 21 pages are in this category, out of 21 total.
- Definition:Set Definition by Predicate
- Definition:Set-Builder Notation
- Definition:Set/Also known as
- Definition:Set/Definition by Predicate
- Definition:Set/Distinction between Element and Set
- Definition:Set/Explicit Set Definition
- Definition:Set/Implicit Set Definition
- Definition:Set/Implicit Set Definition/Infinite Set
- Definition:Set/Implicit Set Definition/Multipart Infinite Set
- Definition:Set/Point Set
- Definition:Set/Uniqueness of Elements
- Definition:Set/Uniqueness of Elements/Equality of Sets
- Definition:Set/Uniqueness of Elements/Multiple Specification
- Definition:Set/Uniqueness of Elements/Order of Listing