Triple

T6929710
Position Surface form Disambiguated ID Type / Status
Subject Cantor–Bernstein–Schröder theorem E160401 entity
Predicate relatedTo P37 FINISHED
Object Cantor's theorem E78328 NE FINISHED

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cantor's theorem
Context triple: [Cantor–Bernstein–Schröder theorem, relatedTo, Cantor's theorem]
  • A. Cantor’s theorem chosen
    Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
  • B. Cantor’s paradox
    Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
  • C. Cantor–Bernstein–Schröder theorem
    The Cantor–Bernstein–Schröder theorem is a fundamental result in set theory stating that if each of two sets can be injected into the other, then there exists a bijection between them, so the sets have the same cardinality.
  • D. Burali-Forti paradox
    The Burali-Forti paradox is a foundational logical contradiction in set theory that arises from considering the set of all ordinal numbers, showing that such a totality cannot consistently exist as a set.
  • E. continuum hypothesis
    The continuum hypothesis is a central conjecture in set theory proposing a specific relationship between the sizes of the set of real numbers and the set of natural numbers, famously shown to be independent of the standard axioms of mathematics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69c6884e15208190b9e91487eaafcf85 elicitation completed
NER batch_69c6da1f5fcc8190b43f53f90fc1821c ner completed
NED1 batch_69c7514774d88190af212d7953014703 ned_source_triple completed
Created at: March 27, 2026, 2:27 p.m.