Hilbert's Hotel

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instance_of gptkb:physicist
gptkbp:allows new guests to be accommodated
gptkbp:challenges intuitive notions of size
gptkbp:depicts the concept of bijection
the properties of infinite sets
the concept of transfinite numbers
gptkbp:exhibited_at the counterintuitive nature of infinity
gptkbp:explores various mathematical texts
gptkbp:features a fully occupied hotel
gptkbp:fit an infinite number of guests
gptkbp:has an infinite number of rooms
gptkbp:has_impact_on the understanding of infinite sets
https://www.w3.org/2000/01/rdf-schema#label Hilbert's Hotel
gptkbp:is a concept in set theory
gptkbp:is_a mathematical thought experiment
gptkbp:is_a_framework_for the study of infinity
gptkbp:is_cited_in mathematical paradoxes
gptkbp:is_described_as infinite series
the concept of countable infinity
a paradox of infinity
a hotel with infinite rooms
gptkbp:is_discussed_in philosophy of mathematics
the context of infinity in mathematics
gptkbp:is_known_for a paradox in mathematics.
gptkbp:is_often_associated_with Hilbert's paradox of the Grand Hotel
theoretical mathematics
discussions of infinity
gptkbp:is_often_depicted_as the nature of infinite sets
gptkbp:is_often_used_in educational contexts
gptkbp:is_part_of mathematical literature
gptkbp:is_popular_in paradoxes in mathematics
mathematical education
gptkbp:is_related_to Cantor's theorem
gptkbp:is_studied_in mathematical philosophy
gptkbp:is_symbolic_of infinite possibilities
gptkbp:key discussions of mathematical infinity
set theory discussions
gptkbp:named_after gptkb:David_Hilbert
gptkbp:narrative_style the nature of infinity
gptkbp:proposed_by gptkb:David_Hilbert
gptkbp:public_awareness the nature of infinity
gptkbp:research infinite capacity
infinite guests and rooms
the concept of infinity in a practical way
the counterintuitive aspects of infinity
gptkbp:subject mathematical inquiry
philosophical discussions about mathematics
gptkbp:theory gptkb:Mathematician
infinite accommodation
gptkbp:bfsParent gptkb:Infinity
gptkbp:bfsLayer 4