ordinal number
C33494
concept
An ordinal number is a mathematical concept that generalizes the notion of ordering by representing the position of elements in a well-ordered set, extending beyond finite sequences to infinite hierarchies.
All labels observed (5)
| Label | Occurrences |
|---|---|
| countable ordinal | 2 |
| ordinal number canonical | 2 |
| large countable ordinal | 1 |
| ordinal notation | 1 |
| proof-theoretic ordinal | 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: ordinal number
Generated description
An ordinal number is a mathematical concept that generalizes the notion of ordering by representing the position of elements in a well-ordered set, extending beyond finite sequences to infinite hierarchies.
Instances (4)
| Instance | Via concept surface |
|---|---|
| I | — |
| Feferman–Schütte ordinal | countable ordinal |
| Cantor normal form | ordinal notation |
| Bachmann–Howard ordinal | countable ordinal |