Results 11 to 20 of about 11,781,613 (287)
Generalized descriptive set theory and classification theory [PDF]
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility.
Friedman, Sy-David +2 more
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Explanation in Descriptive Set Theory [PDF]
Abstract In this paper we investigate explanatory proofs in mathematics. We do this via an extended case study from descriptive set theory. The aim is to shed light on what makes explanatory proofs explanatory. Building on earlier work, we argue that there may be more than one notion of explanation in operation in mathematics: there does
Carolin Antos, Mark Colyvan
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Topology and descriptive set theory [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kechris, Alexander S.
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ITERATED PRIORITY ARGUMENTS IN DESCRIPTIVE SET THEORY
AbstractWe present the true stages machinery and illustrate its applications to descriptive set theory. We use this machinery to provide new proofs of the Hausdorff–Kuratowski and Wadge theorems on the structure of $\mathbf {\Delta }^0_\xi $ , Louveau and Saint Raymond’s separation theorem, and Louveau’s separation theorem.
Adam R. Day +3 more
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Independence and conservativity results for intuitionistic set theory [PDF]
There are two main parts to this thesis. The first part will deal with some independence results. In 1979, Lifschitz in [13] introduced a realizability interpretation for Heyting's arithmetic, HA, that could differentiate between Church's thesis with ...
Chen, Ray-Ming
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Views from a peak:Generalisations and descriptive set theory [PDF]
This dissertation has two major threads, one is mathematical, namely descriptive set theory, the other is philosophical, namely generalisation in mathematics.
Wontner, N.J.H.
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Venn diagrams and probability in clinical research
Statistics is the science dealing with the collecting, summarizing and interpreting of associations in research data, and has a leading role in medical research.
N. М. Bulanov +6 more
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The author set himself a goal of finding common elements of American concepts for the interpretation of the constitution and Polish descriptive-normative theories of legal interpretation of universal nature.
Paweł Boike
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Balanced identity in the minimal groups paradigm. [PDF]
Balanced Identity Theory [1] formalizes a set of relationships between group attitude, group identification, and self-esteem. While these relationships have been demonstrated for familiar and highly salient social categories, questions remain regarding ...
Yarrow Dunham
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Generalized descriptive set theory and classification theory [PDF]
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable.
Kulikov, Vadim +3 more
core +2 more sources

