antimony in naive set theory
C3334
concept
Antinomy in naive set theory is a self-contradictory situation arising from unrestricted set formation, where seemingly valid principles lead to paradoxical sets such as the set of all sets that do not contain themselves.
All labels observed (3)
| Label | Occurrences |
|---|---|
| result in set theory | 3 |
| antimony in naive set theory canonical | 1 |
| illustration of Russell's paradox | 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: antimony in naive set theory
Generated description
Antinomy in naive set theory is a self-contradictory situation arising from unrestricted set formation, where seemingly valid principles lead to paradoxical sets such as the set of all sets that do not contain themselves.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Barber paradox | illustration of Russell's paradox |
| Cantor’s paradox | result in set theory |
| von Neumann paradox in set theory | result in set theory |
| Russell’s paradox | — |
| Cantor’s theorem | result in set theory |