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- Freiling's_axiom_of_symmetry abstract "Freiling's axiom of symmetry (AX) is a set-theoretic axiom proposed by Chris Freiling. It is based on intuition of Stuart Davidsonbut the mathematics behind it goes back to Wacław Sierpiński. Let A be the set of functions mapping real numbers in the unit interval [0,1] to countable subsets of the same interval. The axiom AX states:For every f in A, there exist x and y such that x is not in f(y) and y is not in f(x).A theorem of Sierpiński says that under the assumptions of ZFC set theory, AX is equivalent to the negation of the continuum hypothesis (CH). Sierpiński's theorem answered a question of Hugo Steinhaus and was proved long before the independence of CH had been established by Kurt Gödel and Paul Cohen. Freiling claims that probabilistic intuition strongly supports this propositionwhile others disagree. There are several versions of the axiom, some of whichare discussed below.".
- Freiling's_axiom_of_symmetry wikiPageID "162267".
- Freiling's_axiom_of_symmetry wikiPageRevisionID "565506562".
- Freiling's_axiom_of_symmetry hasPhotoCollection Freiling's_axiom_of_symmetry.
- Freiling's_axiom_of_symmetry subject Category:Axioms_of_set_theory.
- Freiling's_axiom_of_symmetry type Abstraction100002137.
- Freiling's_axiom_of_symmetry type AuditoryCommunication107109019.
- Freiling's_axiom_of_symmetry type AxiomsOfSetTheory.
- Freiling's_axiom_of_symmetry type Communication100033020.
- Freiling's_axiom_of_symmetry type Maxim107152948.
- Freiling's_axiom_of_symmetry type Saying107151380.
- Freiling's_axiom_of_symmetry type Speech107109196.
- Freiling's_axiom_of_symmetry comment "Freiling's axiom of symmetry (AX) is a set-theoretic axiom proposed by Chris Freiling. It is based on intuition of Stuart Davidsonbut the mathematics behind it goes back to Wacław Sierpiński. Let A be the set of functions mapping real numbers in the unit interval [0,1] to countable subsets of the same interval.".
- Freiling's_axiom_of_symmetry label "Freiling's axiom of symmetry".
- Freiling's_axiom_of_symmetry label "Symmetrieaxioma van Freiling".
- Freiling's_axiom_of_symmetry sameAs Symmetrieaxioma_van_Freiling.
- Freiling's_axiom_of_symmetry sameAs m.015jz3.
- Freiling's_axiom_of_symmetry sameAs Q2276975.
- Freiling's_axiom_of_symmetry sameAs Q2276975.
- Freiling's_axiom_of_symmetry sameAs Freiling's_axiom_of_symmetry.
- Freiling's_axiom_of_symmetry wasDerivedFrom Freiling's_axiom_of_symmetry?oldid=565506562.
- Freiling's_axiom_of_symmetry isPrimaryTopicOf Freiling's_axiom_of_symmetry.