Results 31 to 40 of about 6,972,214 (183)

Rethinking Set Theory

open access: yesThe American Mathematical Monthly, 2014
Mathematicians manipulate sets with confidence almost every day, rarely making mistakes. Few of us, however, could accurately quote what are often referred to as "the" axioms of set theory. This suggests that we all carry around with us, perhaps subconsciously, a reliable body of operating principles for manipulating sets.
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Abstraction and Set Theory

open access: yesNotre Dame Journal of Formal Logic, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bernays and Set Theory

open access: yesThe Bulletin of Symbolic Logic, 2009
AbstractWe discuss the work of Paul Bernays in set theory, mainly his axiomatization and his use of classes but also his higher-order reflection principles.
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Classical Set Theory: Theory of Sets and Classes

open access: yes, 2020
This is a short introductory course to Set Theory, based on axioms of von Neumann--Bernays--Gödel (briefly NBG). The text can be used as a base for a lecture course in Foundations of Mathematics, and contains a reasonable minimum which a good (post-graduate) student in Mathematics should know about foundations of this science.
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Partial identification using random set theory [PDF]

open access: yes
This paper illustrates how the use of random set theory can benefit partial identification analysis. We revisit the origins of Manski's work in partial identification (e.g., Manski (1989, 1990)), focusing our discussion on identification of probability ...
Arie Beresteanu   +2 more
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