Results for 'Partition property'

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  1.  24
    Strong Partition Properties for Infinite Cardinals.E. M. Kleinberg - 1970 - Journal of Symbolic Logic 35 (3):410-428.
  2.  11
    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 > (...)
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  3.  7
    Partition Properties and Well-Ordered Sequences.Steve Jackson - 1990 - Annals of Pure and Applied Logic 48 (1):81-101.
  4.  56
    A Partition Property of a Mixed Type for P~K(Lambda).Pierre Matet - 2003 - Mathematical Logic Quarterly 49 (6):615.
    Given a regular infinite cardinal κ and a cardinal λ > κ, we study fine ideals H on Pκ that satisfy the square brackets partition relation equation image, where μ is a cardinal ≥2.
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  5.  48
    Notes on the Partition Property of {\ Mathcal {P} _\ Kappa\ Lambda}.Yoshihiro Abe & Toshimichi Usuba - 2012 - Archive for Mathematical Logic 51 (5-6):575-589.
    We investigate the partition property of ${\mathcal{P}_{\kappa}\lambda}$ . Main results of this paper are as follows: (1) If λ is the least cardinal greater than κ such that ${\mathcal{P}_{\kappa}\lambda}$ carries a (λ κ , 2)-distributive normal ideal without the partition property, then λ is ${\Pi^1_n}$ -indescribable for all n < ω but not ${\Pi^2_1}$ -indescribable. (2) If cf(λ) ≥ κ, then every ineffable subset of ${\mathcal{P}_{\kappa}\lambda}$ has the partition property. (3) If cf(λ) ≥ κ, (...)
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  6.  15
    Partition Properties of M-Ultrafilters and Ideals.Joji Takahashi - 1987 - Journal of Symbolic Logic 52 (4):897-907.
  7.  28
    Partition Properties and Prikry Forcing on Simple Spaces.J. M. Henle - 1990 - Journal of Symbolic Logic 55 (3):938-947.
  8.  5
    Gloede Klaus. Ordinals with Partition Properties and the Constructible Hierarchy. Zeitschrift Für Mathematische Logik Und Grundlagen der Mathematik, Vol. 18 , Pp. 135–164. [REVIEW]Agnieszka Wojciechowska - 1974 - Journal of Symbolic Logic 39 (3):598-599.
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  9.  22
    E. M. Kleinberg. Strong Partition Properties for Infinite Cardinals. The Journal of Symbolic Logic, Vol. 35 , Pp. 410–428.James E. Baumgartner - 1975 - Journal of Symbolic Logic 40 (3):463.
  10.  19
    Reflection and Partition Properties of Admissible Ordinals.Evangelos Kranakis - 1982 - Annals of Mathematical Logic 22 (3):213-242.
  11. Supercompact Cardinals, Trees of Normal Ultrafilters, and the Partition Property.Julius B. Barbanel - 1986 - Journal of Symbolic Logic 51 (3):701-708.
    Suppose κ is a supercompact cardinal. It is known that for every λ ≥ κ, many normal ultrafilters on P κ (λ) have the partition property. It is also known that certain large cardinal assumptions imply the existence of normal ultrafilters without the partition property. In [1], we introduced the tree T of normal ultrafilters associated with κ. We investigate the distribution throughout T of normal ultrafilters with and normal ultrafilters without the partition property.
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  12.  34
    On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals.Kenneth Kunen & Donald H. Pelletier - 1983 - Journal of Symbolic Logic 48 (2):475-481.
    T. K. Menas [4, pp. 225-234] introduced a combinatorial property χ (μ) of a measure μ on a supercompact cardinal κ and proved that measures with this property also have the partition property. We prove here that Menas' property is not equivalent to the partition property. We also show that if α is the least cardinal greater than κ such that P κ α bears a measure without the partition property, then (...)
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  13.  18
    Prime Ideals on P Ω (Λ) with the Partition Property.Pierre Matet, Cédric Péan & Stevo Todorcevic - 2002 - Archive for Mathematical Logic 41 (8):743-764.
    . We use ideas of Fred Galvin to show that under Martin's axiom, there is a prime ideal on Pω with the partition property for every \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}.
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  14.  7
    An Inner Model Proof of the Strong Partition Property for $Delta^{2}_{1}$.Grigor Sargsyan - 2014 - Notre Dame Journal of Formal Logic 55 (4):563-568.
    Assuming $V=L+AD$, using methods from inner model theory, we give a new proof of the strong partition property for ${\sim}{ \delta }^{2}_{1}$. The result was originally proved by Kechris et al.
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  15.  26
    Ordinals with Partition Properties and the Constructible Hierarchy.Klaus Gloede - 1972 - Mathematical Logic Quarterly 18 (8-11):135-164.
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  16.  2
    Review: Klaus Gloede, Ordinals with Partition Properties and the Constructible Hierarchy. [REVIEW]Agnieszka Wojciechowska - 1974 - Journal of Symbolic Logic 39 (3):598-599.
  17.  9
    Telis K. Menas. A Combinatorial Property of Pkλ. The Journal of Symbolic Logic, Vol. 41 , Pp. 225–234. - Donald H. Pelletier. The Partition Property for Certain Extendible Measures on Supercompact Cardinals. Proceedings of the American Mathematical Society, Vol. 81 , Pp. 607–612. - Kenneth Kunen and Donald H. Pelletier. On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals. The Journal of Symbolic Logic, Vol. 48 , Pp. 475–481. - Julius B. Barbanel. Supercompact Cardinals, Trees of Normal Ultrafilters, and the Partition Property. The Journal of Symbolic Logic, Vol. 51 , Pp. 701–708. [REVIEW]Carlos Augusto Di Prisco - 1991 - Journal of Symbolic Logic 56 (3):1098.
  18.  2
    Review: E. M. Kleinberg, Strong Partition Properties for Infinite Cardinals. [REVIEW]James E. Baumgartner - 1975 - Journal of Symbolic Logic 40 (3):463-463.
  19.  21
    On the Relationship Between the Partition Property and the Weak Partition Property for Normal Ultrafilters on $P_\kappa\lambda^1$.Julius B. Barbanel - 1993 - Journal of Symbolic Logic 58 (1):119-127.
    Suppose $\kappa$ is a supercompact cardinal and $\lambda > \kappa$. We study the relationship between the partition property and the weak partition property for normal ultrafilters on $P_\kappa\lambda$. On the one hand, we show that the following statement is consistent, given an appropriate large cardinal assumption: The partition property and the weak partition property are equivalent, there are many normal ultrafilters that satisfy these properties, and there are many normal ultrafilters that do (...)
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  20.  41
    A Property Rights Analysis of Newly Private Firms: Opportunities for Owners to Appropriate Rents and Partition Residual Risks.Marguerite Schneider & Alix Valenti - 2011 - Business Ethics Quarterly 21 (3):445-471.
    A key factor in the decision to convert a publicly owned company to private status is the expectation that value will be created, providing the firm with rent. These rents have implications regarding the property rights of the firm’s capital-contributing constituencies. We identify and analyze the types of rent associated with the newly private firm. Compared to public firms, going private allows owners the potential to partition part of the residual risk to bond holders and employees, rendering them (...)
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  21.  11
    Definable Partitions and Reflection Properties for Regular Cardinals.Evangelos Kranakis - 1985 - Notre Dame Journal of Formal Logic 26 (4):408-412.
  22. Rothberger's Property and Partition Relations.Marion Scheepers - 1997 - Journal of Symbolic Logic 62 (3):976-980.
  23.  12
    Analysis of Lithuanian Court Practice on Partitioning of Common Partial Divided Property.Vytautas Pakalniškis & Solveiga Cirtautienė - 2009 - Jurisprudencija: Mokslo darbu žurnalas 116 (2):277-294.
    The recent Lithuanian court practice shows discrepancies in cases dealing with partitioning of common partial divided property. Moreover, no doctrinal research has been concluded on the limits and conditions of the co-owners‘ right to demand that his share should be partitioned from the common partial ownership in Lithuania. Taking into account that proper implementation of co-ownership rights is based on common agreement of co-owners, when no agreement is reached between co-owners regarding the fact and the mode of partitioning, a (...)
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  24. An Introduction to Partition Logic.David Ellerman - 2014 - Logic Journal of the IGPL 22 (1):94-125.
    Classical logic is usually interpreted as the logic of propositions. But from Boole's original development up to modern categorical logic, there has always been the alternative interpretation of classical logic as the logic of subsets of any given (nonempty) universe set. Partitions on a universe set are dual to subsets of a universe set in the sense of the reverse-the-arrows category-theoretic duality--which is reflected in the duality between quotient objects and subobjects throughout algebra. Hence the idea arises of a dual (...)
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  25. Granular Partitions and Vagueness.Thomas Bittner & Barry Smith - 2003 - In Chris Welty & Barry Smith (eds.), Formal Ontology in Information Systems (FOIS). New York, USA: ACM Press. pp. 309-320.
    There are some who defend a view of vagueness according to which there are intrinsically vague objects or attributes in reality. Here, in contrast, we defend a view of vagueness as a semantic property of names and predicates. All entities are crisp, on this view, but there are, for each vague name, multiple portions of reality that are equally good candidates for being its referent, and, for each vague predicate, multiple classes of objects that are equally good candidates for (...)
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  26.  12
    Set Partitions and the Meaning of the Same.R. Zuber - 2017 - Journal of Logic, Language and Information 26 (1):1-20.
    It is shown that the notion of the partition of a set can be used to describe in a uniform way the meaning of the expression the same, in its basic uses in transitive and ditransitive sentences. Some formal properties of the function denoted by the same, which follow from such a description are indicated. These properties indicate similarities and differences between functions denoted by the same and generalised quantifiers.
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  27.  34
    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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  28.  27
    2. On the Relation Between the Partition of a Whole Into Parts and the Attribution of Properties to an Object.Kuno Lorenz - 2010 - In Logic, Language and Method – on Polarities in Human Experience: Philosophical Papers. Walter de Gruyter. pp. 20-32.
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  29.  38
    On the Relation Between the Partition of a Whole Into Parts and the Attribution of Properties to an Object.Kuno Lorenz - 1977 - Studia Logica 36 (4):351-362.
  30. 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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  31. A Partition Theorem for a Randomly Selected Large Population.Arni S. R. Srinivasa Rao - 2021 - Acta Biotheoretica 70 (1).
    A theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of the stationary population identity is stated and proved. The methods of partitioning demonstrated are original and these are helpful in real-world situations where age-wise data is available. Applications of this theorem for practical purposes are summarized at the end.
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  32.  33
    Stability and Efficiency of Partitions in Matching Problems.İpek Özkal-Sanver - 2005 - Theory and Decision 59 (3):193-205.
    We define two versions of stability and efficiency of partitions and analyze their relationships for some matching rules. The stability and efficiency of a partition depends on the matching rule φ. The results are stated under various membership property rights axioms. It is shown that in a world where agents can freely exit from and enter coalitions, whenever the matching rule is individually rational and Pareto optimal, the set of φ-stable and φ-efficient partitions coincide and it is unique: (...)
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  33.  35
    Partitions and Objective Indefiniteness in Quantum Mechanics.David Ellerman - unknown
    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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  34.  18
    Combinatorial Characterization of Supercompact Cardinals.Flipping Properties and Supercompact Cardinals.P Κ Λ-Generalizations of Weak Compactness.The Structure of Ineffability Properties of P Κ Λ.P Κ Λ Partition Relations.A Note on the Λ-Shelah Property[REVIEW]Julius B. Barbanel - 1991 - Journal of Symbolic Logic 56 (3):1097.
  35.  11
    Additive Partition of Parametric Information and its Associated Β-Diversity Measure.Carlo Ricotta - 2003 - Acta Biotheoretica 51 (2):91-100.
    A desirable property of a diversity index is strict concavity. This implies that the pooled diversity of a given community sample is greater than or equal to but not less than the weighted mean of the diversity values of the constituting plots. For a strict concave diversity index, such as species richness S, Shannon''s entropy H or Simpson''s index 1-D, the pooled diversity of a given community sample can be partitioned into two non-negative, additive components: average within-plot diversity and (...)
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  36. The Partitioned Quantum Universe: Entanglement and the Emergence of Functionality.Gunter Mahler - 2004 - Mind and Matter 2 (2):67-89.
    Given that the world as we perceive it appears to be predominantly classical, how can we stabilize quantum effects? Given the fundamental description of our world is quantum mechanical, how do classical phenomena emerge? Answers can be found from the analysis of the scaling properties of modular quantum systems with respect to a given level of description. It is argued that, depending on design, such partitioned quantum systems may support various functions. Despite their local appearance these functions are emergent properties (...)
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  37.  17
    Edwin W. Miller. On a Property of Families of Sets. English with Polish Summary. Sprawozdania Z Posiedzeń Towarzystwa Naukowego Warszawskiego , Class III, Vol. 30 , Pp. 31–38. - Ben Dushnik and Miller E. W.. Partially Ordered Sets. American Journal of Mathematics, Vol. 63 , Pp. 600–610. - P. Erdős. Some Set-Theoretical Properties of Graphs. Revista, Universidad Nacional de Tucumán, Serie A, Matemáticas y Física Teórica, Vol. 3 , Pp. 363–367. - G. Fodor. Proof of a Conjecture of P. Erdős. Acta Scientiarum Mathematicarum, Vol. 14 No. 4 , Pp. 219–227. - P. Erdős and Rado R.. A Partition Calculus in Set Theory. Bulletin of the American Mathematical Society, Vol. 62 , Pp. 427–489. - P. Erdős and Rado R.. Intersection Theorems for Systems of Sets. The Journal of the London Mathematical Society, Vol. 35 , Pp. 85–90. - A. Hajnal. Some Results and Problems on Set Theory. Acta Mathematica Academiae Scientiarum Hungaricae, Vol. 11 , Pp. 277–298. - P. Erdős and Hajnal A.. On a Property of Families. [REVIEW]James E. Baumgartner - 1995 - Journal of Symbolic Logic 60 (2):698-701.
  38.  17
    Stable Partitions in Many Division Problems: The Proportional and the Sequential Dictator Solutions.Gustavo Bergantiños, Jordi Massó, Inés Moreno de Barreda & Alejandro Neme - 2015 - Theory and Decision 79 (2):227-250.
    We study how to partition a set of agents in a stable way when each coalition in the partition has to share a unit of a perfectly divisible good, and each agent has symmetric single-peaked preferences on the unit interval of his potential shares. A rule on the set of preference profiles consists of a partition function and a solution. Given a preference profile, a partition is selected and as many units of the good as the (...)
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  39. Content, Illusion, Partition.York H. Gunther - 2001 - Philosophical Studies 102 (2):185-202.
    Philosophers of mind have recently sought to establish a theoret- ical use for nonconceptual content. Although there is disagreement about what nonconceptual content is supposed to be, this much is clear. A state with nonconceptual content is mental. Hence, while one may deny that refrigerators and messy rooms have conceptual capacities, their states, as physical and not mental, do not have nonconceptual content. A state with nonconceptual content is also intentional, which is to say that it represents a feature of (...)
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  40.  11
    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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  41.  6
    Minimum‐Sized Infinite Partitions of Boolean Algebras.J. Donald Monk - 1996 - Mathematical Logic Quarterly 42 (1):537-550.
    For any Boolean Algebra A, let cmm be the smallest size of an infinite partition of unity in A. The relationship of this function to the 21 common functions described in Monk [4] is described, for the class of all Boolean algebras, and also for its most important subclasses. This description involves three main results: the existence of a rigid tree algebra in which cmm exceeds any preassigned number, a rigid interval algebra with that property, and the construction (...)
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  42.  16
    On Shattering, Splitting and Reaping Partitions.Lorenz Halbeisen - 1998 - Mathematical Logic Quarterly 44 (1):123-134.
  43.  13
    Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators.Mingwei Lin, Jiuhan Wei, Zeshui Xu & Riqing Chen - 2018 - Complexity 2018:1-24.
    The partitioned Bonferroni mean operator can efficiently aggregate inputs, which are divided into parts based on their interrelationships. To date, it has not been used to aggregate linguistic Pythagorean fuzzy numbers. In this paper, we extend the PBM operator and partitioned geometric Bonferroni mean operator to the linguistic Pythagorean fuzzy sets and use them to develop a novel multiattribute group decision-making model under the linguistic Pythagorean fuzzy environment. We first define some novel operational laws for LPFNs, which take into consideration (...)
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  44.  5
    Distributive Ideals and Partition Relations.C. A. Johnson - 1986 - Journal of Symbolic Logic 51 (3):617-625.
    It is a theorem of Rowbottom [12] that ifκis measurable andIis a normal prime ideal onκ, then for eachλ<κ,In this paper a natural structural property of ideals, distributivity, is considered and shown to be related to this and other ideal theoretic partition relations.The set theoretical terminology is standard and background results on the theory of ideals may be found in [5] and [8]. Throughoutκwill denote an uncountable regular cardinal, andIa proper, nonprincipal,κ-complete ideal onκ.NSκis the ideal of nonstationary subsets (...)
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  45.  51
    Coalitional Stability and Efficiency of Partitions in Matching Problems.Duygu Nizamogullari & İpek Özkal-Sanver - 2011 - Theory and Decision 71 (3):395-407.
    Özkal-Sanver (Theory Decis 59:193–205, 2005) studies stability and efficiency of partitions of agents in two-sided matching markets in which agents can form partitions by individual moves only, and a matching rule determines the matching in each coalition in a partition. In this study, we present the relationship between stability and efficiency of partitions that is analyzed for several matching rules and under various membership property rights codes, now allowing coalitional moves.
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  46.  2
    Scope and Partitivity of Plural Indefinite Noun Phrases in Spanish.Juan J. Colomina-Almiñana - 2017 - Pragmatics and Society 8 (1):107-128.
    It has been argued that European Spanish plural indefinite noun phrases including algunos convey a partitive effect because the restrictor alg- provides additional properties. The reason that algunos implicates a “non-all-things” effect is because it refers only to an indeterminate part of the whole. The scope of bare plurals and unos, in contrast, does not exhibit this characteristic. This article argues that, contrarily to this claim, the scope of bare plurals and unos also induces partitivity because occurrences of these words (...)
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  47.  37
    The Downward Transfer of Elementary Satisfiability of Partition Logics.Y. Chen & E. Shen - 2000 - Mathematical Logic Quarterly 46 (4):477-488.
    We introduce a notion of pseudo-reachability in Gaifman graphs and suggest a graph-theoretic and uniform approach to the Löwenheim-Skolem-Tarski Theorems for partition logics as well as logics with general Malitz quantifiers.
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  48.  35
    WKB Properties of the Time-Dependent Schrödinger System.L. O'Raifeartaigh & Andreas Wipf - 1988 - Foundations of Physics 18 (3):307-329.
    It is shown that the time-dependent WKB expansion highlights some of the hidden properties of the Schrödinger equation and forms a natural bridge between that equation and the functional integral formulation of quantum mechanics. In particular it is shown that the leading (zero- and first-order in ħ) terms in the WKB expansion are essentially classical, and the relationship of this result to the classical nature of the WKB partition function, and of the anomalies in quantum field theory, is discussed.
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  49.  41
    On the Ramsey Property for Sets of Reals.Ilias G. Kastanas - 1983 - Journal of Symbolic Logic 48 (4):1035-1045.
    We review some known results about the Ramsey property for partitions of reals, and we present a certain two-person game such that if either player has a winning strategy then a homogeneous set for the partition can be constructed, and conversely. This gives alternative proofs of some of the known results. We then discuss possible uses of the game in obtaining effective versions of Ramsey's theorem and prove a theorem along these lines.
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  50.  13
    A Pigeonhole Property for Relational Structures.Anthony Bonato & Dejan Delić - 1999 - Mathematical Logic Quarterly 45 (3):409-413.
    We study those relational structures S with the property that each partition of S contains a block isomorphic to S. We show that the Fraïsse limits of parametric classes K. have property ; over a binary language, every countable structure in K satisfying along with a condition on 1-extensions must be isomorphic to this limit.
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