Properties (49)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical concept
|
| gptkbp:basedOn |
cardinality
|
| gptkbp:description |
a classification of infinite sets
|
| gptkbp:drawings |
Cantor's_diagonal_argument
|
| gptkbp:explores |
mathematical philosophy
|
| gptkbp:has_implications_for |
computability theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor's hierarchy
|
| gptkbp:includes |
countable sets
the set of natural numbers uncountable sets the set of real numbers |
| gptkbp:is_a_platform_for |
modern mathematics
understanding infinity understanding mathematical infinity the study of real analysis understanding mathematical structures |
| gptkbp:is_a_subject_of |
theoretical computer science
academic papers philosophical discussions mathematical logic mathematical research the philosophy of mathematics graduate studies the history of mathematics mathematical exploration has historical significance has practical applications infinity studies challenges intuition debate in mathematics has influenced mathematics |
| gptkbp:is_essential_for |
understanding different sizes of infinity
understanding limits of computation |
| gptkbp:is_part_of |
transfinite numbers
the foundations of mathematics advanced mathematics curriculum |
| gptkbp:is_referenced_in |
mathematical literature
|
| gptkbp:is_studied_in |
set theory courses
|
| gptkbp:is_used_in |
mathematics
philosophy of mathematics the study of topology the existence of different infinities |
| gptkbp:isConnectedTo |
gptkb:Cantor's_theorem
the continuum hypothesis |
| gptkbp:produces |
gptkb:Georg_Cantor
|
| gptkbp:related_to |
set theory
cardinal numbers measure theory ordinal numbers |