axiom schema
C14949
concept
An axiom schema is a rule or template that generates an infinite set of axioms by uniformly substituting formulas for its schematic variables.
All labels observed (4)
| Label | Occurrences |
|---|---|
| axiom schema canonical | 2 |
| axiom | 1 |
| logical axiom | 1 |
| logical axiom schema | 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: axiom schema
Generated description
An axiom schema is a rule or template that generates an infinite set of axioms by uniformly substituting formulas for its schematic variables.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Basic Law V | logical axiom |
|
Axiom of Extensionality in set theory
surface form:
Axiom of Extensionality
|
logical axiom schema |
| axiom schema of separation | — |
| univalence axiom | axiom |