The Axiom of Choice

GPTKB entity

Statements (40)
Predicate Object
gptkbp:instance_of gptkb:Set
gptkbp:allows_construction_of Basis for every vector space
gptkbp:has_implications_for Cardinality of Infinite Sets
https://www.w3.org/2000/01/rdf-schema#label The Axiom of Choice
gptkbp:implies_existence_of Non-measurable sets
gptkbp:is_axiom_in gptkb:Zermelo-Fraenkel_Set_Theory
gptkbp:is_compared_to gptkb:Zorn's_Lemma
Well-Ordering Theorem
gptkbp:is_criticized_for gptkb:Mathematics
Non-constructive proofs
Constructivists
gptkbp:is_discussed_in gptkb:Mathematics
gptkbp:is_related_to gptkb:Countable_Choice
gptkb:Ultrafilter
Tychonoff Theorem
Choice Function
Choice Set
Dependent Choice
Infinite Choice Principle
gptkbp:is_supported_by Classical Logicians
gptkbp:is_used_in gptkb:Set
gptkb:Mathematics
gptkb:Logic
gptkb:strategy
gptkb:political_theory
Algebra
Topology
Analysis
Model Theory
Functional Analysis
Measure Theory
Algebraic Topology
Ordinal Numbers
Combinatorial Set Theory
Cardinal Numbers
Homotopy Theory
Set-Theoretic Topology
gptkbp:proposed_by gptkb:Giuseppe_Peano
gptkbp:bfsParent gptkb:J._Richard_Cohen
gptkbp:bfsLayer 6