construction of real numbers
C50018
concept
The construction of real numbers is the rigorous process of defining the real number system (typically via Dedekind cuts or Cauchy sequences of rationals) so that it satisfies the desired algebraic and order properties, including completeness.
All labels observed (1)
| Label | Occurrences |
|---|---|
| construction of real numbers canonical | 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: construction of real numbers
Generated description
The construction of real numbers is the rigorous process of defining the real number system (typically via Dedekind cuts or Cauchy sequences of rationals) so that it satisfies the desired algebraic and order properties, including completeness.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Dedekind cut | — |