The interdependence of certain consequences of the axiom of choice
A. Lévy (1964)
Fundamenta Mathematicae
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A. Lévy (1964)
Fundamenta Mathematicae
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Omar De la Cruz, Damir D. Dzhafarov, Eric J. Hall (2006)
Fundamenta Mathematicae
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A definition of finiteness is a set-theoretical property of a set that, if the Axiom of Choice (AC) is assumed, is equivalent to stating that the set is finite; several such definitions have been studied over the years. In this article we introduce a framework for generating definitions of finiteness in a systematical way: basic definitions are obtained from properties of certain classes of binary relations, and further definitions are obtained from the basic ones by closing them...
Antonín Sochor (1979)
Commentationes Mathematicae Universitatis Carolinae
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Rolando Chuaqui
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CONTENTSIntroduction............................................................................................................ 5I. Axiom system and elementary consequences........................................... 61. Axioms........................................................................................................................ 62. Definitions and elementary consequences........................................................ 9II. Principles of definitions by recursion..............................................................
M. Jelić (1990)
Matematički Vesnik
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Wiktor V. Marek, Antonín Sochor (1978)
Commentationes Mathematicae Universitatis Carolinae
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Nancy Moler, Patrick Suppes (1968)
Compositio Mathematica
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H. Doest (1969)
Fundamenta Mathematicae
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K. Wiśniewski (1972)
Fundamenta Mathematicae
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