arithmetical sentence
C62995
concept
An arithmetical sentence is a closed formula in the language of first-order arithmetic, containing no free variables, that makes a definite claim about natural numbers using symbols for 0, successor, addition, multiplication, equality, logical connectives, and quantifiers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| arithmetical sentence 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: arithmetical sentence
Generated description
An arithmetical sentence is a closed formula in the language of first-order arithmetic, containing no free variables, that makes a definite claim about natural numbers using symbols for 0, successor, addition, multiplication, equality, logical connectives, and quantifiers.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Rosser sentence | — |