counterexample
C34329
concept
A counterexample is a specific instance or case that disproves a general statement, conjecture, or hypothesis by showing it does not hold universally.
All labels observed (5)
| Label | Occurrences |
|---|---|
| counterexample canonical | 1 |
| counterexample generator | 1 |
| counterexample in matching theory | 1 |
| counterexample proposal | 1 |
| non-existence example | 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: counterexample
Generated description
A counterexample is a specific instance or case that disproves a general statement, conjecture, or hypothesis by showing it does not hold universally.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Hadamard’s example of ill-posed problems | — |
| Max Black’s two identical spheres thought experiment | counterexample proposal |
| Gale’s example in stable matching with couples | counterexample in matching theory |
| Quickcheck | counterexample generator |