Results for ' partitive'

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  1.  14
    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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  2. 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 compelling (...)
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  3.  28
    Knowledge, partitioned sets and extensionality: A refutation of the forms of knowledge thesis.C. W. Evers & J. C. Walker - 1983 - Journal of Philosophy of Education 17 (2):155–170.
    C W Evers, J C Walker; Knowledge, Partitioned Sets and Extensionality: a refutation of the forms of knowledge thesis, Journal of Philosophy of Education, Volume.
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  4. 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. Comparisons are made (...)
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  5. 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 being (...)
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  6. Partition and revision: The semantics of counterfactuals.Angelika Kratzer - 1981 - Journal of Philosophical Logic 10 (2):201 - 216.
    The last section made it clear that an analysis which at first seems to fail is viable after all. It is viable if we let it depend on a partition function to be provided by the context of conversation. This analysis leaves certain traits of the partition function open. I have tried to show that this should be so. Specifying these traits as Pollock does leads to wrong predictions. And leaving them open endows counterfactuals with just the right amount of (...)
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  7. Dynamic partitioning and the conventionality of kinds.Jeffrey A. Barrett - 2007 - Philosophy of Science 74 (4):527-546.
    Lewis sender‐receiver games illustrate how a meaningful term language might evolve from initially meaningless random signals (Lewis 1969; Skyrms 2006). Here we consider how a meaningful language with a primitive grammar might evolve in a somewhat more subtle sort of game. The evolution of such a language involves the co‐evolution of partitions of the physical world into what may seem, at least from the perspective of someone using the language, to correspond to canonical natural kinds. While the evolved language may (...)
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  8.  33
    On partitioning the infinite subsets of large cardinals.R. J. Watro - 1984 - Journal of Symbolic Logic 49 (2):539-541.
  9.  21
    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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  10. Partition lies, Advaita Vedanta and Bhisham Sahni’s Tamas.Subhasis Chattopadhyay - 2016 - In Pinaki Roy & Ashim Kumar Sarkar (eds.), 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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  11.  19
    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 smaller than (...)
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  12.  50
    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 ∈ ω (...)
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  13.  14
    Borel partitions of infinite subtrees of a perfect tree.A. Louveau, S. Shelah & B. Veličković - 1993 - Annals of Pure and Applied Logic 63 (3):271-281.
    Louveau, A., S. Shelah and B. Velikovi, Borel partitions of infinite subtrees of a perfect tree, Annals of Pure and Applied Logic 63 271–281. We define a notion of type of a perfect tree and show that, for any given type τ, if the set of all subtrees of a given perfect tree T which have type τ is partitioned into two Borel classes then there is a perfect subtree S of T such that all subtrees of S of type (...)
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  14.  18
    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 of weakness. In particular, (...)
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  15.  60
    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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  16.  37
    Schopenhauer’s Partition Diagrams and Logical Geometry.Jens Lemanski & Lorenz Demey - 2021 - In A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo & P. Viana (eds.), Diagrams 2021: Diagrammatic Representation and Inference. 93413 Cham, Deutschland: 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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  17.  10
    A Partition Theorem of $omega^{omega^{alpha}}$.Claribet Piña - 2018 - Notre Dame Journal of Formal Logic 59 (3):387-403.
    We consider finite partitions of the closure F¯ of an ωα-uniform barrier F. For each partition, we get a homogeneous set having both the same combinatorial and topological structure as F¯, seen as a subspace of the Cantor space 2N.
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  18. A Theory of Granular Partitions.Thomas Bittner & Barry Smith - 2003 - In Matt Duckham, Michael F. Goodchild & Michael Worboys (eds.), Foundations of Geographic Information Science. London: Taylor & Francis. pp. 117-151.
    We have a variety of different ways of dividing up, classifying, mapping, sorting and listing the objects in reality. The theory of granular partitions presented here seeks to provide a general and unified basis for understanding such phenomena in formal terms that is more realistic than existing alternatives. Our theory has two orthogonal parts: the first is a theory of classification; it provides an account of partitions as cells and subcells; the second is a theory of reference or intentionality; it (...)
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  19. Partitioning Logical Space.Jeroen Groenendijk & Martin Stokhof - manuscript
    In the present version of these lecture notes only a number of typos and a few glaring mistakes have been corrected. Thanks to Paul Dekker for his help in this respect. No attempt has been been made to update the original text or to incorporate new insights and approaches. For a more recent overview, see our ‘Questions’ in the Handbook of Logic and Language (edited by Johan van Benthem and Alice ter Meulen, Elsevier, 1997).
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  20. 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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  21.  22
    Partitions of large Rado graphs.M. Džamonja, J. A. Larson & W. J. Mitchell - 2009 - Archive for Mathematical Logic 48 (6):579-606.
    Let κ be a cardinal which is measurable after generically adding ${\beth_{\kappa+\omega}}$ many Cohen subsets to κ and let ${\mathcal G= ( \kappa,E )}$ be the κ-Rado graph. We prove, for 2 ≤ m < ω, that there is a finite value ${r_m^+}$ such that the set [κ] m can be partitioned into classes ${\langle{C_i:i (...)
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  22. Partitioning the Real Line Into Borel Sets.Will Brian - 2024 - Journal of Symbolic Logic 89 (2):549-568.
    For which infinite cardinals $\kappa $ is there a partition of the real line ${\mathbb R}$ into precisely $\kappa $ Borel sets? Work of Lusin, Souslin, and Hausdorff shows that ${\mathbb R}$ can be partitioned into $\aleph _1$ Borel sets. But other than this, we show that the spectrum of possible sizes of partitions of ${\mathbb R}$ into Borel sets can be fairly arbitrary. For example, given any $A \subseteq \omega $ with $0,1 \in A$, there is a forcing extension (...)
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  23.  53
    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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  24.  8
    A Partition Theorem for a Randomly Selected Large Population.Arni S. R. Srinivasa Rao - 2021 - Acta Biotheoretica 70 (1):1-11.
    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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  25.  12
    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 ≥ K. For strongly inaccessible (...)
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  26.  9
    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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  27. 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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  28.  73
    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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  29.  25
    Body partitioning and real-space blends.Paul G. Dudis - 2004 - Cognitive Linguistics 15 (2).
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  30.  21
    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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  31.  10
    A Partition Theorem.J. D. Halpern - 1974 - Journal of Symbolic Logic 39 (1):181-182.
  32.  19
    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 between-plot (...)
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  33.  14
    Mental Partitioning and Explanations of Mental Conflict: An Investigation of Han Sources with Reference to Greek Psychology.Jordan Palmer Davis - 2022 - Dao: A Journal of Comparative Philosophy 21 (3):407-430.
    This article examines the problem of mental partitioning and mental conflict in Han 漢 dynasty sources. It begins by outlining two Greek psychological models—the Platonic tripartite model and the Stoic monistic model—and explains the connection between the two psychological models and their differing descriptions of mental conflict. It then analyzes passages from a seldom discussed text, the _Extended Reflections_ (_Shenjian_ 申鑒), written by the Eastern Han thinker X un Yue 荀悅. A combined analysis of the _Extended Reflections_ with fragments from (...)
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  34.  31
    Partition Principles and Infinite Sums of Cardinal Numbers.Masasi Higasikawa - 1995 - Notre Dame Journal of Formal Logic 36 (3):425-434.
    The Axiom of Choice implies the Partition Principle and the existence, uniqueness, and monotonicity of (possibly infinite) sums of cardinal numbers. We establish several deductive relations among those principles and their variants: the monotonicity follows from the existence plus uniqueness; the uniqueness implies the Partition Principle; the Weak Partition Principle is strictly stronger than the Well-Ordered Choice.
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  35.  13
    Partitioning natural face image variability emphasises within-identity over between-identity representation for understanding accurate recognition.David White, Tanya Wayne & Victor P. L. Varela - 2022 - Cognition 219 (C):104966.
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  36.  50
    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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  37. A Taxonomy of Granular Partitions.Thomas E. Bittner & Barry Smith - 2001 - In Daniel Montello (ed.), Spatial Information Theory. Foundations of Geographic Information Science. Berlin: Springer. pp. 28-43.
    In this paper we propose a formal theory of partitions (ways of dividing up or sorting or mapping reality) and we show how the theory can be applied in the geospatial domain. We characterize partitions at two levels: as systems of cells (theory A), and in terms of their projective relation to reality (theory B). We lay down conditions of well-formedness for partitions and we define what it means for partitions to project truly onto reality. We continue by classifying well-formed (...)
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  38.  45
    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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  39.  5
    Partition of Large Subsets of Semigroups.Teng Zhang - forthcoming - Journal of Symbolic Logic.
    It is known that in an infinite very weakly cancellative semigroup with size $\kappa $, any central set can be partitioned into $\kappa $ central sets. Furthermore, if $\kappa $ contains $\lambda $ almost disjoint sets, then any central set contains $\lambda $ almost disjoint central sets. Similar results hold for thick sets, very thick sets and piecewise syndetic sets. In this article, we investigate three other notions of largeness: quasi-central sets, C-sets, and J-sets. We obtain that the statement applies (...)
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  40.  34
    Carbon partitioning in forage crops.Jean-Louis Durand, Claude Varlet-Grancher, Gilles Lemaire, François Gastal & Bruno Moulia - 1991 - Acta Biotheoretica 39 (3-4):213-224.
    The paper describes the conceptual models used to understand the processes determining plant growth rates in response to environmental changes. A series of experiments and growth models were used at three organizational levels: the specific plant organs, the whole plant and the plant canopy. The energy conversion efficiency and the total plant carbon balance were first examined. The carbon partitioning amongst the plant parts was then studied. The energy conversion efficiency is generally understood. In modelling carbon partitioning it was first (...)
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  41. 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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  42. Against partitioned Readings of reciprocals.Yoad Winter - manuscript
    In this paper we examine partitioned interpretations of sentences with reciprocal expressions. We study the availability of partitioned readings with definite subjects and proper name conjunctions, and show new evidence that partitioned interpretations of simple reciprocal sentences are independent of the semantics of the reciprocal expression, and are exclusively determined by the interpretation of the subject.
     
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  43.  8
    Partition-based logical reasoning for first-order and propositional theories.Eyal Amir & Sheila McIlraith - 2005 - Artificial Intelligence 162 (1-2):49-88.
  44. 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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  45.  30
    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 number of coalitions in (...)
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  46.  20
    A partition relation for pairs on $$omega ^{omega ^omega }$$.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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  47.  16
    Muscle partitioning via multiple inputs: An alternative hypothesis.James H. Abbs & Benoni B. Edin - 1989 - Behavioral and Brain Sciences 12 (4):645-646.
  48. Post-partition movement of population.Kazi S. Ahmad - 1965 - In Karl W. Linsenmann (ed.), Proceedings. St. Louis, Lutheran Academy for Scholarship. pp. 3--201.
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  49.  24
    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 partition (...)
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  50.  32
    Partition Relations for Strongly Normal Ideals on Pκ(λ).Pierre Matet - 2000 - Mathematical Logic Quarterly 46 (1):87-103.
    Building upon earlier work of Donna Carr, Don Pelletier, Chris Johnson, Shu-Guo Zhang and others, we show that a normal ideal J on Pκ is strongly normal if and only if J+→< 2 for every μ < κ, and we describe the least normal ideal J on Pκ such that J+ →< 2.
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