statusInZFC
P52531
predicate
Indicates the logical or set-theoretic status (such as provability, refutability, or independence) of a statement when considered within the axiomatic system of Zermelo–Fraenkel set theory with the Axiom of Choice (ZFC).
All labels observed (1)
| Label | Occurrences |
|---|---|
| statusInZFC canonical | 3 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: statusInZFC
Generated description
Indicates the logical or set-theoretic status (such as provability, refutability, or independence) of a statement when considered within the axiomatic system of Zermelo–Fraenkel set theory with the Axiom of Choice (ZFC).
Sample triples (3)
| Subject | Object |
|---|---|
| axiom of choice | axiom of Zermelo–Fraenkel set theory with choice ⓘ |
| continuum hypothesis | independent ⓘ |
| Hilbert's first problem | independent ⓘ |