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The Curious Case of the RTT: AI-Assisted Well-Ordering of the Reals without the Axiom of Choice
Arzhang Kamarei
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Old and new joint characterizations of leximin and variants of rank-weighted utilitarianism. [PDF]
PLoS OneSakamoto N.
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A parametric similarity measure for neutrosophic set and its applications in energy production. [PDF]
HeliyonLiu P +4 more
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Unique Method for Prognosis of Risk of Depressive Episodes Using Novel Measures to Model Uncertainty Under Data Privacy. [PDF]
Entropy (Basel)Pękala B +4 more
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2018
The axiom of choice is a mathematical postulate about sets: for each family of non-empty sets, there exists a function selecting one member from each set in the family. If those sets have no member in common, it postulates that there is a set having exactly one element in common with each set in the family. First formulated in 1904, the axiom of choice
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The axiom of choice is a mathematical postulate about sets: for each family of non-empty sets, there exists a function selecting one member from each set in the family. If those sets have no member in common, it postulates that there is a set having exactly one element in common with each set in the family. First formulated in 1904, the axiom of choice
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The Induction Axiom and the Axiom of Choice
Mathematical Logic Quarterly, 1961Verf. schlägt eine Modifikation des Peanoschen Axiomensystems für die natürlichen Zahlen vor, bei der statt des einwertigen Funktionsbegriffs, wie er bei der Nachfolgefunktion auftritt, der Begriff der mehrwertigen Funktion gebraucht wird, so daß es z. B. zu einer Zahl mehrere Nachfolger gibt. Die Peanoschen Axiome werden entsprechend verändert.
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