Statements (56)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:illusion
|
| gptkbp:analyzes |
a fully occupied hotel
|
| gptkbp:can_be_explained_using |
a simple narrative
|
| gptkbp:can_be_extended_by |
higher dimensions of infinity
|
| gptkbp:challenges |
intuitive notions of size
|
| gptkbp:depicts |
the concept of infinity
the concept of bijection the difference between finite and infinite |
| gptkbp:describes |
a hypothetical hotel with infinitely many rooms
|
| gptkbp:example |
the challenges of infinity
|
| gptkbp:fit |
an infinite number of new guests
|
| gptkbp:has_implications_for |
the nature of infinity
|
| gptkbp:has_inspired |
further studies in mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's hotel paradox
|
| gptkbp:introduced_in |
the early 20th century
|
| gptkbp:is_a_classic_illustration_of |
the nature of infinite processes
|
| gptkbp:is_a_foundation_for |
the philosophy of mathematics
|
| gptkbp:is_a_foundational_example_in |
the study of infinite mathematics
|
| gptkbp:is_a_subject_of |
gptkb:academic_research
theoretical computer science mathematical logic students of mathematics philosophers and mathematicians |
| gptkbp:is_a_thought_experiment |
in mathematics
|
| gptkbp:is_a_thought_experiment_that |
provokes deep questions
|
| gptkbp:is_a_thought_experiment_that_challenges |
our understanding of reality
|
| gptkbp:is_a_thought_experiment_that_illustrates |
the peculiarities of infinite sets
|
| gptkbp:is_a_well-known_example_of |
a paradox in mathematics
|
| gptkbp:is_associated_with |
countable infinity
the idea of transfinite numbers |
| gptkbp:is_cited_in |
academic papers on infinity
|
| gptkbp:is_described_as |
the concept of infinity in layman's terms
the nature of infinite sequences |
| gptkbp:is_discussed_in |
many mathematicians
the context of infinity in mathematics |
| gptkbp:is_often_compared_to |
gptkb:Zeno's_paradoxes
|
| gptkbp:is_often_discussed_in |
the concept of infinity in set theory
|
| gptkbp:is_often_referenced_in |
philosophical discussions
|
| gptkbp:is_often_used_in |
discussions of set theory
|
| gptkbp:is_popular_in |
mathematical education
philosophy of mathematics |
| gptkbp:is_recommended_by |
one can always make room for more guests
|
| gptkbp:is_referenced_in |
gptkb:popular_culture
|
| gptkbp:is_related_to |
Cantor's theorem
|
| gptkbp:is_sometimes_used_to_illustrate |
the concept of infinity in physics
|
| gptkbp:key_concept |
the study of infinite sets
|
| gptkbp:key_feature |
infinite cardinality
discussions of mathematical infinity. |
| gptkbp:named_after |
gptkb:David_Hilbert
|
| gptkbp:often_includes |
discussions of mathematical infinity
|
| gptkbp:proposed_by |
gptkb:David_Hilbert
|
| gptkbp:shows_that |
infinity is not a number
|
| gptkbp:topics |
the history of mathematics
|
| gptkbp:was_a_demonstration_of |
the counterintuitive properties of infinite sets
|
| gptkbp:bfsParent |
gptkb:Cantor's_pairing_function
|
| gptkbp:bfsLayer |
5
|