Statements (57)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:illusion
|
| gptkbp:can_lead_to |
the development of axiomatic set theory
|
| gptkbp:challenges |
naive set theory
|
| gptkbp:describes |
a contradiction in naive set theory
|
| gptkbp:field |
gptkb:Set
|
| gptkbp:has_implications_for |
foundations of mathematics
|
| gptkbp:has_influenced |
modern logic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Russell's paradox
|
| gptkbp:involves |
the set of all sets that do not contain themselves
|
| gptkbp:is_a |
gptkb:Mathematics
gptkb:concept gptkb:philosophy logical paradox philosophical inquiry logical inconsistency concept in mathematics theoretical problem logical problem philosophical issue problem in set theory concept in logic concept in philosophy concept in set theory foundational issue issue in mathematical logic logical issue problem in logic self-referential paradox set-theoretic issue theoretical issue topic in logic topic in mathematical logic topic in mathematical philosophy logical inquiry problem in philosophy topic in set theory issue in foundational mathematics issue in set theory philosophical topic set-theoretic paradox theoretical problem in logic |
| gptkbp:is_cited_in |
academic papers
|
| gptkbp:is_considered |
philosophy of mathematics
the study of infinity |
| gptkbp:is_described_as |
mathematical logic
|
| gptkbp:is_discussed_in |
gptkb:philosopher
gptkb:philosophy |
| gptkbp:is_explored_in |
set theory literature
mathematical philosophy |
| gptkbp:is_related_to |
Cantor's theorem
logical paradoxes set membership paradoxes |
| gptkbp:is_used_in |
discussions of set membership
|
| gptkbp:named_after |
gptkb:Bertrand_Russell
|
| gptkbp:proposed_by |
gptkb:Bertrand_Russell
|
| gptkbp:bfsParent |
gptkb:Bertrand_Russell
|
| gptkbp:bfsLayer |
4
|