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Determinacy and Large Cardinals [PDF]
, 2023 The study of inner models was initiated by Gödel's analysis of the constructible universe. Later, the study of canonical inner models with large cardinals, e.g., measurable cardinals, strong cardinals or Woodin cardinals, was pioneered by Jensen, Mitchell, Steel, and others.
Sandra Müller
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Collectionwise normality without large cardinals [PDF]
Proceedings of the American Mathematical Society, 1982 It was previously known to be consistent relative to a strongly compact cardinal that locally compact perfectly normal spaces must be collectionwise normal. We obtain the same result merely by adjoining ℵ 2 {\aleph _2} random reals to a model of V = L V = L .
Franklin D. Tall
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Intrinsic Justifications for Large-Cardinal Axioms [PDF]
Philosophia Mathematica, 2021 ABSTRACTWe shall defend three philosophical theses about the extent of intrinsic justification based on various technical results. We shall present a set of theorems which indicate intriguing structural similarities between a family of “weak” reflection principles roughly at the level of those considered by Tait and Koellner and a family of “strong ...
Rupert McCallum
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French de and en as expressions of the genitive case: a unified analysis within LFG and computational implementation in XLE [PDF]
DELTA: Documentação de Estudos em Lingüística Teórica e Aplicada, 2021 The French clitic pro-form en represents a wide range of heterogeneous constituents: de-PP complements and adjuncts, partitive objects, and prepositionless objects of cardinals.
Leonel Figueiredo de Alencar +1 more
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Forum of Mathematics, Sigma, 2023 Given an uncountable cardinal $\kappa $ , we consider the question of whether subsets of the power set of $\kappa $ that are usually constructed with the help of the axiom of choice are definable by $\Sigma _1$ -formulas that only use ...
Philipp Lücke, Sandra Müller
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The nature fit concept of waste reduction: Prospects for engineering a clean future
Resources, Environment and Sustainability, 2023 Environmental pollution due to waste substances is an urgent problem around the world. As human population and the consumption of manufactured goods continue to increase, it is inevitable that large quantities of waste substances would simultaneously ...
Charlotte C. Ndiribe
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Cichoń’s maximum without large cardinals
Journal of the European Mathematical Society, 2021 Cichoń’s diagram lists twelve cardinal characteristics (and the provable inequalities between them) associated with the ideals of null sets, meager sets, countable sets, and \sigma -compact subsets of the irrationals.
Martin Goldstern +3 more
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Avian Research, 2021 Background Efficient and safe movement is fundamental for wild birds to thrive in their environments. For arboreal forest animals, especially birds, canopy cover has a large impact on birds’ daily movements and is a crucial component of conservation ...
Jin Bai +3 more
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Mapping with Macro X-ray Fluorescence Scanning of Raffaello’s Portrait of Leo X
Heritage, 2022 Raffaello is renowned as one of the Old Renaissance Masters and his paintings and painting technique are famous for the details and naturality of the characters.
Anna Mazzinghi +5 more
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Hanf numbers via accessible images [PDF]
Logical Methods in Computer Science, 2017 We present several new model-theoretic applications of the fact that, under the assumption that there exists a proper class of almost strongly compact cardinals, the powerful image of any accessible functor is accessible.
Michael Lieberman, Jiri Rosicky
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