set-theoretic concept
C33769
concept
A set-theoretic concept is an abstract mathematical idea defined in terms of sets and their elements, relationships, and operations, such as membership, union, intersection, and power sets.
All labels observed (7)
| Label | Occurrences |
|---|---|
| apparent paradox in set theory | 1 |
| concept in descriptive set theory | 1 |
| set theory law | 1 |
| set-theoretic concept canonical | 1 |
| set-theoretic construction | 1 |
| set-theoretic notion | 1 |
| standard example in descriptive set theory | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: set-theoretic concept
Generated description
A set-theoretic concept is an abstract mathematical idea defined in terms of sets and their elements, relationships, and operations, such as membership, union, intersection, and power sets.
Instances (7)
| Instance | Via concept surface |
|---|---|
| Bernstein set | — |
| Fraenkel–Mostowski permutation models | set-theoretic construction |
| De Morgan's laws | set theory law |
|
Löwenheim–Skolem theorem (via additional arguments)
surface form:
Skolem paradox
|
apparent paradox in set theory |
| Borel set | set-theoretic notion |
| Souslin operation | concept in descriptive set theory |
| Baire space ω^ω | standard example in descriptive set theory |