irrational number
C33975
concept
An irrational number is a real number that cannot be expressed as a ratio of two integers, having a non-terminating, non-repeating decimal expansion.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Liouville number | 1 |
| algorithmically random real | 1 |
| irrational number canonical | 1 |
| transcendental number | 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: irrational number
Generated description
An irrational number is a real number that cannot be expressed as a ratio of two integers, having a non-terminating, non-repeating decimal expansion.
Instances (3)
| Instance | Via concept surface |
|---|---|
| golden ratio | — |
|
Liouville numbers
surface form:
Liouville number
|
transcendental number |
|
Gregory Chaitin
surface form:
Chaitin's constant
|
algorithmically random real |