Results for 'partition of unity'

977 found
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  1. The partitive constraint in optimality theory.Anttila Arto & Fong Vivienne - 2000 - Journal of Semantics 17 (4).
     
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  2.  35
    Partition Forcing and Independent Families.Jorge A. Cruz-Chapital, Vera Fischer, Osvaldo Guzmán & Jaroslav Šupina - 2023 - Journal of Symbolic Logic 88 (4):1590-1612.
    We show that Miller partition forcing preserves selective independent families and P-points, which implies the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {u}=\mathfrak {i}<\mathfrak {a}_T=\omega _2$. In addition, we show that Shelah’s poset for destroying the maximality of a given maximal ideal preserves tight mad families and so we establish the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {i}=\omega _1<\mathfrak {u}=\mathfrak {a}_T=\omega _2$.
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  3.  42
    Partition Genericity and Pigeonhole Basis Theorems.Benoit Monin & Ludovic Patey - 2024 - Journal of Symbolic Logic 89 (2):829-857.
    There exist two main notions of typicality in computability theory, namely, Cohen genericity and randomness. In this article, we introduce a new notion of genericity, called partition genericity, which is at the intersection of these two notions of typicality, and show that many basis theorems apply to partition genericity. More precisely, we prove that every co-hyperimmune set and every Kurtz random is partition generic, and that every partition generic set admits weak infinite subsets, for various notions (...)
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  4. Partition epistemology and arguments from analogy.Alex Levine - 2009 - Synthese 166 (3):593-600.
    Nineteenth and twentieth century philosophies of science have consistently failed to identify any rational basis for the compelling character of scientific analogies. This failure is particularly worrisome in light of the fact that the development and diffusion of certain scientific analogies, e.g. Darwin’s analogy between domestic breeds and naturally occurring species, constitute paradigm cases of good science. It is argued that the interactivist model, through the notion of a partition epistemology, provides a way to understand the persuasive character of (...)
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  5.  19
    The Socratic Paradoxes and the Greek Mind. [REVIEW]J. L. O. - 1968 - Review of Metaphysics 21 (3):558-559.
    This work is a study of Plato's ethical theory and in particular his paradoxical theses that virtue is knowledge and vice is ignorance and that no one voluntarily does evil. In the opening chapters O'Brien discusses Plato's debt to Homer and Hesiod and to the historians and tragedians. The succeeding chapters are devoted to an analysis of the ethical doctrines of over a dozen dialogues ranging from the Apology to the Laws. The principles of interpretation employed in the analysis are: (...)
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  6.  33
    Partition subalgebras for maximal almost disjoint families.Alan Dow & Jinyuan Zhou - 2002 - Annals of Pure and Applied Logic 117 (1-3):223-259.
    Partitioner algebras are defined by Baumgartner and Weese 619) as a natural tool for studying the properties of maximal almost disjoint families of subsets of ω. We prove from PFA+ and that there exists a partitioner algebra which contains a subalgebra which is not representable as a partitioner algebra.
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  7. Partition lies, Advaita Vedanta and Bhisham Sahni’s Tamas.Subhasis Chattopadhyay - 2016 - In Pinaki Roy & Ashim Kumar Sarkar, Portrayal of the Indian Partition in History, Literature, and Media.
    This is a re-look at the (Indian) Partition event through the lens of Advaita Vedanta.
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  8.  21
    Partition Complete Boolean Algebras and Almost Compact Cardinals.Peter Jipsen & Henry Rose - 1999 - Mathematical Logic Quarterly 45 (2):241-255.
    For an infinite cardinal K a stronger version of K-distributivity for Boolean algebras, called k-partition completeness, is defined and investigated . It is shown that every k-partition complete Boolean algebra is K-weakly representable, and for strongly inaccessible K these concepts coincide. For regular K ≥ u, it is proved that an atomless K-partition complete Boolean algebra is an updirected union of basic K-tree algebras. Using K-partition completeness, the concept of γ-almost compactness is introduced for γ ≥ (...)
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  9.  64
    On partitions into stationary sets.Karel Prikry & Robert M. Solovay - 1975 - Journal of Symbolic Logic 40 (1):75-80.
  10. Partitions and Objective Indefiniteness in Quantum Mechanics.David Ellerman - manuscript
    Classical physics and quantum physics suggest two meta-physical types of reality: the classical notion of a objectively definite reality with properties "all the way down," and the quantum notion of an objectively indefinite type of reality. The problem of interpreting quantum mechanics is essentially the problem of making sense out of an objectively indefinite reality. These two types of reality can be respectively associated with the two mathematical concepts of subsets and quotient sets which are category-theoretically dual to one another (...)
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  11.  18
    A Partition Theorem.J. D. Halpern - 1974 - Journal of Symbolic Logic 39 (1):181-182.
  12.  54
    Partitions and filters.P. Matet - 1986 - Journal of Symbolic Logic 51 (1):12-21.
  13.  48
    Strong partition properties for infinite cardinals.E. M. Kleinberg - 1970 - Journal of Symbolic Logic 35 (3):410-428.
  14.  27
    Partition properties and well-ordered sequences.Steve Jackson - 1990 - Annals of Pure and Applied Logic 48 (1):81-101.
  15.  60
    Strong negative partition above the continuum.Saharon Shelah - 1990 - Journal of Symbolic Logic 55 (1):21-31.
  16. Partitions and Objective Indefiniteness.David Ellerman - manuscript
    Classical physics and quantum physics suggest two meta-physical types of reality: the classical notion of a objectively definite reality with properties "all the way down," and the quantum notion of an objectively indefinite type of reality. The problem of interpreting quantum mechanics (QM) is essentially the problem of making sense out of an objectively indefinite reality. These two types of reality can be respectively associated with the two mathematical concepts of subsets and quotient sets (or partitions) which are category-theoretically dual (...)
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  17.  82
    Dominance-Partitioned Subgraph Matching on Large RDF Graph.Bo Ning, Yunhao Sun, Deji Zhao, Weikang Xing & Guanyu Li - 2020 - Complexity 2020:1-18.
    Subgraph matching on a large graph has become a popular research topic in the field of graph analysis, which has a wide range of applications including question answering and community detection. However, traditional edge-cutting strategy destroys the structure of indivisible knowledge in a large RDF graph. On the premise of load-balancing on subgraph division, a dominance-partitioned strategy is proposed to divide a large RDF graph without compromising the knowledge structure. Firstly, a dominance-connected pattern graph is extracted from a pattern graph (...)
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  18. European unity and the nation state.Mats Andrén & Joris van Eijnatten - 2022 - In Pasi Ihalainen & Antero Holmila, Nationalism and internationalism intertwined: a European history of concepts beyond nation states. New York: Berghahn Books.
     
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  19.  73
    Partitive Case and Aspect.Paul Kiparsky - unknown
    Current theories make a distinction between two types of case, STRUCTURAL case and INHERENT (or LEXICAL) case (Chomsky 1981), similar to the older distinction between GRAMMATICAL and SEMANTIC case (Kuryłowicz 1964).1 Structural case is assumed to be assigned at S-structure in a purely configurational way, whereas inherent case is assigned at D-structure in possible dependence on the governing predicates’s lexical properties. It is well known that not all cases fall cleanly into this typology. In particular, there is a class of (...)
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  20.  70
    Partition theorems and computability theory.Joseph R. Mileti - 2005 - Bulletin of Symbolic Logic 11 (3):411-427.
    The connections between mathematical logic and combinatorics have a rich history. This paper focuses on one aspect of this relationship: understanding the strength, measured using the tools of computability theory and reverse mathematics, of various partition theorems. To set the stage, recall two of the most fundamental combinatorial principles, König's Lemma and Ramsey's Theorem. We denote the set of natural numbers by ω and the set of finite sequences of natural numbers by ω<ω. We also identify each n ∈ (...)
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  21.  68
    Polarized partition relations.James Baumgartner & Andras Hajnal - 2001 - Journal of Symbolic Logic 66 (2):811-821.
    It is shown that for any cardinal $\kappa, \dbinom{(2^{ , and if κ is weakly compact $\dbinom{\kappa^+}{\kappa} \rightarrow \dbinom{\kappa}{\kappa}_{.
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  22.  5
    Polarized Partition Relations and Almost-Disjoint Functions.James E. Baumgartner - 1989 - In Jens Erik Fenstad, Ivan Timofeevich Frolov & Risto Hilpinen, Logic, methodology, and philosophy of science VIII: proceedings of the Eighth International Congress of Logic, Methodology, and Philosophy of Science, Moscow, 1987. New York, NY, U.S.A.: Sole distributors for the U.S.A. and Canada, Elsevier Science.
  23.  63
    Partition properties and Prikry forcing on simple spaces.J. M. Henle - 1990 - Journal of Symbolic Logic 55 (3):938-947.
  24.  51
    Finest partitions for ultrafilters.Akihiro Kanamori - 1986 - Journal of Symbolic Logic 51 (2):327-332.
  25.  47
    Partitioning large vector spaces.James H. Schmerl - 2003 - Journal of Symbolic Logic 68 (4):1171-1180.
  26.  61
    Weak partition relations and measurability.Mitchell Spector - 1986 - Journal of Symbolic Logic 51 (1):33-38.
  27.  36
    Organic Unities.Sean Mckeever & Michael Ridge - 2013 - In David Bakhurst, Margaret Olivia Little & Brad Hooker, Thinking about reasons: themes from the philosophy of Jonathan Dancy. Oxford, United Kingdom: Oxford University Press. pp. 265.
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  28.  62
    Canonical partition relations.James E. Baumgartner - 1975 - Journal of Symbolic Logic 40 (4):541-554.
    Several canonical partition theorems are obtained, including a simultaneous generalization of Neumer's lemma and the Erdos-Rado theorem. The canonical partition relation for infinite cardinals is completely determined, answering a question of Erdos and Rado. Counterexamples are given showing that in several ways these results cannot be improved.
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  29.  30
    The Unity and Diversity.Charles De Koninck - 2014 - Logos: A Journal of Catholic Thought and Culture 17 (1):146-171.
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  30.  20
    Prescribing Unity to Intuition: Sensibility and Understanding in the Transcendental Deduction.Margit Ruffing, Guido A. De Almeida, Ricardo R. Terra & Valerio Rohden - 2008 - In Margit Ruffing, Guido A. De Almeida, Ricardo R. Terra & Valerio Rohden, Law and Peace in Kant's Philosophy/Recht und Frieden in der Philosophie Kants: Proceedings of the 10th International Kant Congress/Akten des X. Internationalen Kant-Kongresses. Walter de Gruyter.
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  31. Partition-theorems for causal decision theories.Jordan Howard Sobel - 1989 - Philosophy of Science 56 (1):70-93.
    Two partition-theorems are proved for a particular causal decision theory. One is restricted to a certain kind of partition of circumstances, and analyzes the utility of an option in terms of its utilities in conjunction with circumstances in this partition. The other analyzes an option's utility in terms of its utilities conditional on circumstances and is quite unrestricted. While the first form seems more useful for applications, the second form may be of theoretical importance in foundational exercises. (...)
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  32.  58
    Regressive partitions and borel diagonalization.Akihiro Kanamori - 1989 - Journal of Symbolic Logic 54 (2):540-552.
  33.  31
    A partition relation for pairs on omegaomegaomegaomega ^{omega ^omega }.Claribet Piña - 2018 - Archive for Mathematical Logic 57 (7-8):727-753.
    We consider colorings of the pairs of a family \ of topological type \, for \; and we find a homogeneous family \ for each coloring. As a consequence, we complete our study of the partition relation \^2_{l,m}}\) identifying \ as the smallest ordinal space \^2_{l,4}}\).
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  34.  28
    Organic Unity Revindicated?P. ae Hutchings - 1965 - Journal of Aesthetics and Art Criticism 23 (3):323.
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  35.  48
    Unity in Diversity. On Jeff Bernard’s Life and Work.Gloria Withalm - 2010 - American Journal of Semiotics 26 (1-4):133-158.
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  36.  22
    Unity as a virtue.Kenneth M. Stampp - 1975 - Journal of Aesthetics and Art Criticism 34 (2):191-197.
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  37.  12
    Divine Unity and Superfluous Synonymity.Michael P. Levine - 1990 - Journal of Speculative Philosophy 4 (3):211 - 236.
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  38.  40
    Definable partitions and reflection properties for regular cardinals.Evangelos Kranakis - 1985 - Notre Dame Journal of Formal Logic 26 (4):408-412.
  39.  37
    Organic unity and emergence.Archie J. Bahm - 1947 - Journal of Philosophy 44 (9):241-244.
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  40.  32
    Partition relations on a plain product order type.Jean A. Larson - 2006 - Annals of Pure and Applied Logic 144 (1-3):117-125.
    The goal of this short note is to interest set theorists in the order type ω*ω1, and to encourage them to work on the question of whether or not the Continuum Hypothesis decides the partition relation τ→2, for τ=ω*ω1 and for τ=ω1ω+2.
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  41. “Organic Unity”: Its Loose and Analogical and Its Strict and Systematic Sense in Hegel's Philosophy.Michael Quante - 2001 - Southern Journal of Philosophy 39 (S1):189-195.
  42. The unity and priority arguments for Grounding.Jessica M. Wilson - 2016 - In Ken Aizawa & Carl Gillett, Scientific Composition and Metaphysical Ground. London: Palgrave-Macmillan. pp. 171-204.
    Grounding, understood as a primitive posit operative in contexts where metaphysical dependence is at issue, is not able on its own to do any substantive work in characterizing or illuminating metaphysical dependence---or so I argue in 'No Work for a Theory of Grounding' (Inquiry, 2014). Such illumination rather requires appeal to specific metaphysical relations---type or token identity, functional realization, the determinable-determinate relation, the mereological part-whole relation, and so on---of the sort typically at issue in these contexts. In that case, why (...)
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  43. Unity and objectivity.Susan L. Hurley - 1996 - In Christopher Peacocke, Objectivity, Simulation and the Unity of Consciousness: Current Issues in the Philosophy of Mind. British Academy. pp. 49--77.
     
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  44.  72
    Partitions and conditionals.Peter W. Woodruff - 1999 - Journal of Philosophical Logic 28 (2):113-128.
    The literature on conditionals is rife with alternate formulations of the abstract semantics of conditional logic. Each formulation has its own advantages in terms of applications and generalizations; nevertheless, they are for the most part equivalent, in the sense that they underwrite the same range of logical systems. The purpose of the present note is to bring under this umbrella the partition semantics introduced by Brian Skyrms in (Skyrms, 1984).
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  45.  30
    Weak partition properties on trees.Michael Hrušák, Petr Simon & Ondřej Zindulka - 2013 - Archive for Mathematical Logic 52 (5-6):543-567.
    We investigate the following weak Ramsey property of a cardinal κ: If χ is coloring of nodes of the tree κ <ω by countably many colors, call a tree ${T \subseteq \kappa^{ < \omega}}$ χ-homogeneous if the number of colors on each level of T is finite. Write ${\kappa \rightsquigarrow (\lambda)^{ < \omega}_{\omega}}$ to denote that for any such coloring there is a χ-homogeneous λ-branching tree of height ω. We prove, e.g., that if ${\kappa < \mathfrak{p}}$ or ${\kappa > \mathfrak{d}}$ (...)
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  46.  15
    Partitions and Their Afterlives: Violence, Memories, Living.Radhika Mohanram & Anindya Raychaudhuri (eds.) - 2019 - Rowman & Littlefield International.
    Partitions and their Afterlives engages with political partitions and how their aftermath affects the contemporary life of nations and their citizens.
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  47.  26
    Partition numbers.Otmar Spinas - 1997 - Annals of Pure and Applied Logic 90 (1-3):243-262.
    We continue [21] and study partition numbers of partial orderings which are related to /fin. In particular, we investigate Pf, be the suborder of /fin)ω containing only filtered elements, the Mathias partial order M, and , ω the lattice of partitions of ω, respectively. We show that Solomon's inequality holds for M and that it consistently fails for Pf. We show that the partition number of is C. We also show that consistently the distributivity number of ω is (...)
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  48.  51
    Schopenhauer’s Partition Diagrams and Logical Geometry.Jens Lemanski & Lorenz Demey - 2021 - In Stapleton G. Basu A., Diagrams 2021: Diagrammatic Representation and Inference. pp. 149-165.
    The paper examines Schopenhauer’s complex diagrams from the Berlin Lectures of the 1820 s, which show certain partitions of classes. Drawing upon ideas and techniques from logical geometry, we show that Schopenhauer’s partition diagrams systematically give rise to a special type of Aristotelian diagrams, viz. (strong) α -structures.
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  49.  34
    Unity and Integration in Ayn Rand’s Atlas Shrugged.Edward W. Younkins - 2011 - Libertarian Papers 3:5.
    This article makes an argument for Atlas Shrugged as a highly unified and integrated novel. All of the sections of the paper explain how integration and unity are embodied in Atlas Shrugged. Part one discusses the philosophical and literary structure of Rand’s masterpiece. The next section is concerned with issues of political economy. Section three then examines Rand’s techniques of characterization and character development as demonstrated in Atlas Shrugged. The following part analyzes the philosophical speeches. The final major part (...)
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  50.  35
    Parameterized partition relations on the real numbers.Joan Bagaria & Carlos A. Di Prisco - 2009 - Archive for Mathematical Logic 48 (2):201-226.
    We consider several kinds of partition relations on the set ${\mathbb{R}}$ of real numbers and its powers, as well as their parameterizations with the set ${[\mathbb{N}]^{\mathbb{N}}}$ of all infinite sets of natural numbers, and show that they hold in some models of set theory. The proofs use generic absoluteness, that is, absoluteness under the required forcing extensions. We show that Solovay models are absolute under those forcing extensions, which yields, for instance, that in these models for every well ordered (...)
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