Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
infinite sets
|
| gptkbp:developedBy |
gptkb:Georg_Cantor
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:hasApplication |
measure theory
model theory classification of infinite sets |
| gptkbp:hasConcept |
gptkb:continuum_hypothesis
gptkb:aleph_numbers cardinal addition cardinal exponentiation cardinal multiplication |
| gptkbp:hasProperty |
associativity (for addition and multiplication)
commutativity (for addition and multiplication) non-distributivity (for infinite cardinals) distributivity (multiplication over addition for finite cardinals) |
| https://www.w3.org/2000/01/rdf-schema#label |
Cardinal Arithmetic
|
| gptkbp:includes |
addition of cardinals
exponentiation of cardinals multiplication of cardinals |
| gptkbp:relatedTo |
ordinal arithmetic
|
| gptkbp:result |
gptkb:Cantor's_theorem
gptkb:Schroeder–Bernstein_theorem gptkb:König's_theorem gptkb:Cantor–Bernstein–Schroeder_theorem |
| gptkbp:studies |
cardinal numbers
operations on cardinal numbers |
| gptkbp:usedIn |
gptkb:logic
foundations of mathematics |
| gptkbp:bfsParent |
gptkb:Saharon_Shelah
|
| gptkbp:bfsLayer |
4
|