Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical paradox
|
| gptkbp:associated_with |
power set
infinite cardinality |
| gptkbp:challenges |
set membership
|
| gptkbp:controversy |
mathematicians
|
| gptkbp:criticalReception |
the challenges of abstraction in mathematics
|
| gptkbp:depicts |
the set of all sets cannot exist
|
| gptkbp:designedBy |
the existence of different sizes of infinity
|
| gptkbp:exhibits |
the contradiction in the concept of a set of all sets
|
| gptkbp:explores |
mathematical philosophy
|
| gptkbp:has_a |
the philosophy of set theory
|
| gptkbp:has_a_focus_on |
theoretical computer science
|
| gptkbp:has_implications_for |
foundations of mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor's paradox
|
| gptkbp:introduced |
gptkb:Georg_Cantor
|
| gptkbp:involves |
cardinal numbers
|
| gptkbp:is_a_gathering_for |
mathematical realism
|
| gptkbp:is_a_place_for |
classical logic
|
| gptkbp:is_a_platform_for |
understanding infinite sets
|
| gptkbp:is_a_subject_of |
mathematical logic
mathematical research modern set theory the nature of mathematical objects the study of logic the history of mathematics set-theoretic foundations infinite regress mathematical epistemology the interplay between logic and mathematics |
| gptkbp:is_essential_for |
mathematical education
understanding cardinality the development of set theory |
| gptkbp:is_featured_in |
Venn diagrams
the limitations of formal systems the limitations of naive set theory |
| gptkbp:is_part_of |
the study of infinity
|
| gptkbp:is_popular_among |
popular discussions of mathematics
|
| gptkbp:is_studied_in |
philosophers
|
| gptkbp:is_used_in |
philosophy of mathematics
the continuum hypothesis mathematical literature discussions of infinity discussions of mathematical infinity. Cantor's_diagonal_argument |
| gptkbp:issues |
the philosophy of mathematics
the study of mathematical truth |
| gptkbp:keyEvent |
the study of mathematical infinity
|
| gptkbp:promotes |
self-reference
|
| gptkbp:related_to |
gptkb:Russell's_paradox
set theory |
| gptkbp:was_a_result_of |
gptkb:Cantor's_theorem
the properties of infinite sets |