Search results for 'Decomposition' (try it on Scholar)

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  1. Anatolij Dvurečenskij & Yongjian Xie (2012). Atomic Effect Algebras with the Riesz Decomposition Property. Foundations of Physics 42 (8):1078-1093.score: 18.0
    We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any σ-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.
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  2. David J. Foulis & Sylvia Pulmannová (2013). Type-Decomposition of a Synaptic Algebra. Foundations of Physics 43 (8):948-968.score: 18.0
    A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. In this article we extend to synaptic algebras the type-I/II/III decomposition of von Neumann algebras, AW∗-algebras, and JW-algebras.
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  3. Eva Leenknegt (2013). Cell Decomposition for Semibounded P-Adic Sets. Archive for Mathematical Logic 52 (5-6):667-688.score: 18.0
    We study a reduct ${\mathcal{L}_*}$ of the ring language where multiplication is restricted to a neighbourhood of zero. The language is chosen such that for p-adically closed fields K, the ${\mathcal{L}_*}$ -definable subsets of K coincide with the semi-algebraic subsets of K. Hence structures (K, ${\mathcal{L}_*}$ ) can be seen as the p-adic counterpart of the o-minimal structure of semibounded sets. We show that in this language, p-adically closed fields admit cell decomposition, using cells similar to p-adic semi-algebraic cells. (...)
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  4. Roman Wencel (2013). On the Strong Cell Decomposition Property for Weakly o‐Minimal Structures. Mathematical Logic Quarterly 59 (6):452-470.score: 15.0
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  5. Eva Leenknegt (2012). Cell Decomposition and Definable Functions for Weak P‐Adic Structures. Mathematical Logic Quarterly 58 (6):482-497.score: 15.0
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  6. Marie‐Hélène Mourgues (2009). Cell Decomposition for P‐Minimal Fields. Mathematical Logic Quarterly 55 (5):487-492.score: 15.0
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  7. Arnon Levy (2014). Machine-Likeness and Explanation by Decomposition. Philosophers' Imprint 14 (6).score: 14.0
    Analogies to machines are commonplace in the life sciences, especially in cellular and molecular biology — they shape conceptions of phenomena and expectations about how they are to be explained. This paper offers a framework for thinking about such analogies. The guiding idea is that machine-like systems are especially amenable to decompositional explanation, i.e., to analyses that tease apart underlying components and attend to their structural features and interrelations. I argue that for decomposition to succeed a system must exhibit (...)
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  8. Sylvia Pulmannova (1999). Effect Algebras with the Riesz Decomposition Property and AF C*-Algebras. Foundations of Physics 29 (9):1389-1401.score: 12.0
    Relations between effect algebras with Riesz decomposition properties and AF C*-algebras are studied. The well-known one-one correspondence between countable MV-algebras and unital AF C*-algebras whose Murray-von Neumann order is a lattice is extended to any unital AF C* algebras and some more general effect algebras having the Riesz decomposition property. One-one correspondence between tracial states on AF C*-algebras and states on the corresponding effect algebras is proved. In particular, pure (faithful) tracial states correspond to extremal (faithful) states on (...)
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  9. William P. Bechtel, Dynamics and Decomposition: Are They Compatible?score: 12.0
    Much of cognitive neuroscience as well as traditional cognitive science is engaged in a quest for mechanisms through a project of decomposition and localization of cognitive functions. Some advocates of the emerging dynamical systems approach to cognition construe it as in opposition to the attempt to decompose and localize functions. I argue that this case is not established and rather explore how dynamical systems tools can be used to analyze and model cognitive functions without abandoning the use of (...) and localization to understand mechanisms of cognition. (shrink)
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  10. James Levine (2002). Analysis and Decomposition in Frege and Russell. Philosophical Quarterly 52 (207):195-216.score: 12.0
    Michael Dummett has long argued that Frege is committed to recognizing a distinction between two sorts of analysis of propositional contents: 'analysis', which reveals the entities that one must grasp in order to apprehend a given propositional content; and 'decomposition', which is used in recognizing the validity of certain inferences. Whereas any propositional content admits of a unique ultimate 'analysis' into simple constituents, it also admits of distinct 'decompositions', no one of which is ultimately privileged over the others. I (...)
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  11. Manfred D. Laubichler & Gunter P. Wagner (2000). Organism and Character Decomposition: Steps Towards an Integrative Theory of Biology. Philosophy of Science 67 (3):300.score: 12.0
    In this paper we argue that an operational organism concept can help to overcome the structural deficiency of mathematical models in biology. In our opinion, the structural deficiency of mathematical models lies mainly in our inability to identify functionally relevant biological characters in biological systems, and not so much in a lack of adequate mathematical representations of biological processes. We argue that the problem of character identification in biological systems is linked to the question of a properly formulated organism concept. (...)
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  12. Christian Schindler (1990). The Unique Jordan-Hahn Decomposition Property. Foundations of Physics 20 (5):561-573.score: 12.0
    We show that a finite orthomodular poset with a strong section Δ of states (probability measures) is distributive if and only if Δ has the unique Jordan-Hahn decomposition property(UJHDP). That this result does not extend to infinite orthomodular posets is shown by the projection lattices of von Neumann algebras without direct summand of typeI 2, for which the set of completely additive states is strong and has theUJHDP. There also exist nondistributive σ-classes for which the set of countably additive (...)
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  13. Jerry Fodor & Ernie Lepore, Morphemes Matter; the Continuing Case Against Lexical Decomposition (Or: Please Don't Play That Again, Sam).score: 12.0
    The idea that quotidian, middle-level concepts typically have internal structure -- definitional, statistical, or whatever -- plays a central role in practically every current approach to cognition. Correspondingly, the idea that words that express quotidian, middle-level concepts have complex representations "at the semantic level" is recurrent in linguistics; it's the defining thesis of what is often called "lexical semantics," and it unites the generative and interpretive traditions of grammatical analysis. Recently, Hale and Keyser (1993) have provided a budget of sophisticated (...)
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  14. Robert W. Johnson (1996). Direct Product and Decomposition of Certain Physically Important Algebras. Foundations of Physics 26 (2):197-222.score: 12.0
    I consider the direct product algebra formed from two isomorphic Clifford algebras. More specifically, for an element x in each of the two component algebras I consider elements in the direct product space with the form x ⊗ x. I show how this construction can be used to model the algebraic structure of particular vector spaces with metric, to describe the relationship between wavefunction and observable in examples from quantum mechanics, and to express the relationship between the electromagnetic field tensor (...)
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  15. Matthew B. Younce (1990). Refinement and Unique Mackey Decomposition for Manuals and Orthalogebras. Foundations of Physics 20 (6):691-700.score: 12.0
    In the empirical logic approach to quantum mechanics, the physical system under consideration is given in terms of a manual of sample spaces. The resulting propositional structure has been shown to form an orthoalgebra, generalizing the structure of an orthomodular poset. An orthoalgebra satisfies the unique Mackey decomposition (UMD) property if, given two commuting propositions a and b, there is a unique jointly orthogonal triple (e, f, c) such that a=e⊕c and b=f⊕c. In a manual, E is refined by (...)
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  16. Jan Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419-432.score: 12.0
    De Finetti's representation theorem is a special case of the ergodic decomposition of stationary probability measures. The problems of the interpretation of probabilities centred around de Finetti's theorem are extended to this more general situation. The ergodic decomposition theorem has a physical background in the ergodic theory of dynamical systems. Thereby the interpretations of probabilities in the cases of de Finetti's theorem and its generalization and in ergodic theory are systematically connected to each other.
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  17. Gregory Landini (1996). Decomposition and Analysis in Frege'sgrundgesetze. History and Philosophy of Logic 17 (1-2):121-139.score: 12.0
    Frege seems to hold two incompatible theses:(i) that sentences differing in structure can yet express the same sense; and (ii) that the senses of the meaningful parts of a complex term are determinate parts of the sense of the term. Dummett offered a solution, distinguishing analysis from decomposition. The present paper offers an embellishment of Dummett?s distinction by providing a way of depicting the internal structures of complex senses?determinate structures that yield distinct decompositions. Decomposition is then shown to (...)
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  18. David J. Foulis & Sylvia Pulmannová (2010). Type-Decomposition of an Effect Algebra. Foundations of Physics 40 (9-10):1543-1565.score: 12.0
    Effect algebras (EAs), play a significant role in quantum logic, are featured in the theory of partially ordered Abelian groups, and generalize orthoalgebras, MV-algebras, orthomodular posets, orthomodular lattices, modular ortholattices, and boolean algebras.We study centrally orthocomplete effect algebras (COEAs), i.e., EAs satisfying the condition that every family of elements that is dominated by an orthogonal family of central elements has a supremum. For COEAs, we introduce a general notion of decomposition into types; prove that a COEA factors uniquely as (...)
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  19. Michael Silberstein & Anthony Chemero (forthcoming). Constraints on Localization and Decomposition as Explanatory Strategies in the Biological Sciences. 80 (5):958-970.score: 12.0
    Several articles have recently appeared arguing that there really are no viable alternatives to mechanistic explanation in the biological sciences (Kaplan and Bechtel; Kaplan and Craver). We argue that mechanistic explanation is defined by localization and decomposition. We argue further that systems neuroscience contains explanations that violate both localization and decomposition. We conclude that the mechanistic model of explanation needs to either stretch to now include explanations wherein localization or decomposition fail or acknowledge that there are counterexamples (...)
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  20. Andrew McIntyre (2005). The Semantic and Syntactic Decomposition of Get: An Interaction Between Verb Meaning and Particle Placement. Journal of Semantics 22 (4):401-438.score: 12.0
    VPs with get and a PP/particle provide an argument for lexical decomposition in syntax. Get (and German kriegen) has a ‘hindrance’ reading, which does not denote causative events and resembles manage in that the result is portrayed as hard to achieve, and in that possibility operators do not affect the meaning under negation: I didn't (=couldn't) get the key in. These effects surprisingly follow from an analysis where hindrance-get VPs are nothing more than inchoatives of have-VPs of the type (...)
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  21. Anita Wasilewska (1985). Trees and Diagrams of Decomposition. Studia Logica 44 (2):139 - 158.score: 12.0
    We introduce here and investigate the notion of an alternative tree of decomposition. We show (Theorem 5) a general method of finding out all non-alternative trees of the alternative tree determined by a diagram of decomposition.
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  22. Nianzheng Liu (1994). Semilinear Cell Decomposition. Journal of Symbolic Logic 59 (1):199-208.score: 12.0
    We obtain a p-adic semilinear cell decomposition theorem using methods developed by Denef in [Journal fur die Reine und Angewandte Mathematik, vol. 369 (1986), pp. 154-166]. We also prove that any set definable with quantifiers in (0, 1, +, =, λq, Pn){n∈N,q∈Qp} may be defined without quantifiers, where λq is scalar multiplication by q and Pn is a unary predicate which denotes the nonzero nth powers in the p-adic field Qp. Such a set is called a p-adic semilinear set (...)
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  23. Jan von Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419 - 432.score: 12.0
    De Finetti's representation theorem is a special case of the ergodic decomposition of stationary probability measures. The problems of the interpretation of probabilities centred around de Finetti's theorem are extended to this more general situation. The ergodic decomposition theorem has a physical background in the ergodic theory of dynamical systems. Thereby the interpretations of probabilities in the cases of de Finetti's theorem and its generalization and in ergodic theory are systematically connected to each other.
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  24. Christian Schindler (1989). Physical and Geometrical Interpretation of the Jordan-Hahn and the Lebesgue Decomposition Property. Foundations of Physics 19 (11):1299-1314.score: 12.0
    The Jordan-Hahn decomposition and the Lebesgue decomposition, two basic notions of classical measure theory, are generalized for measures on orthomodular posets. The Jordan-Hahn decomposition property (JHDP) and the Lebesgue decomposition property (LDP) are defined for sections Δ of probability measures on an orthomodular poset L. If L is finite, then these properties can be characterized geometrically in terms of two parallelity relations defined on the set of faces of Δ. A section Δ is shown to have (...)
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  25. Quintijn Puite & Harold Schellinx (1997). On the Jordan-Hölder Decomposition of Proof Nets. Archive for Mathematical Logic 37 (1):59-65.score: 12.0
    Having defined a notion of homology for paired graphs, Métayer ([Ma]) proves a homological correctness criterion for proof nets, and states that for any proof net $G$ there exists a Jordan-Hölder decomposition of ${\mathsf H}_0(G)$ . This decomposition is determined by a certain enumeration of the pairs in $G$ . We correct his proof of this fact and show that there exists a 1-1 correspondence between these Jordan-Hölder decompositions of ${\mathsf H}_0(G)$ and the possible ‘construction-orders’ of the par-net (...)
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  26. Marc Richir (2001). L'aperception transcendantale immédiate et sa décomposition en phénoménologie. Revista de Filosofía (Madrid) 26:7-53.score: 12.0
    The remake that we have started of phenomenology since the Phenomenological Meditations (1992) has led us here to reexammine the question of transcendantal aperception and transcendental cogito such as it is known by Husserl. The problematic of phenomenalization and phenomenological schematism of phaenomena as but phaenomena leads to its decomposition in three architectonichal registers, whose common structure is each time that of a discordance into the accordance: register of off language with, its instable proto-temporalization, register of language with its (...)
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  27. Mi Gyung Kim (2006). 'Public' Science: Hydrogen Balloons and Lavoisier's Decomposition of Water. Annals of Science 63 (3):291-318.score: 12.0
    Summary The balloon mania between 1783 and 1785 put an extraordinary strain on the Paris Academy of Sciences, threatening its status as the highest tribunal of European science. Faced with repeated royal directives and public frenzy, the Academy manoeuvred carefully to steer the research toward the hydrogen balloon and thereby to maintain its scientific superiority. Antoine-Laurent Lavoisier seized this moment when the promise of ?the empire of airs? brought science to the centre of public attention to push his theoretical reform (...)
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  28. Jarosław Pykacz (2000). New Operations on Orthomodular Lattices: ``Disjunction'' and ``Conjunction'' Induced by Mackey Decompositions. Notre Dame Journal of Formal Logic 41 (1):59-76.score: 10.0
    New conjunctionlike and disjunctionlike operations on orthomodular lattices are defined with the aid of formal Mackey decompositions of not necessarily compatible elements. Various properties of these operations are studied. It is shown that the new operations coincide with the lattice operations of join and meet on compatible elements of a lattice but they necessarily differ from the latter on all elements that are not compatible. Nevertheless, they define on an underlying set the partial order relation that coincides with the original (...)
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  29. Elliott Sober (2011). Realism, Conventionalism, and Causal Decomposition in Units of Selection: Reflections on Samir Okasha's Evolution and the Levels of Selection. [REVIEW] Philosophy and Phenomenological Research 82 (1):221-231.score: 9.0
    I discuss two subjects in Samir Okasha’s excellent book, Evolution and the Levels of Selection. In consonance with Okasha’s critique of the conventionalist view of the units of selection problem, I argue that conventionalists have not attended to what realists mean by group, individual, and genic selection. In connection with Okasha’s discussion of the Price equation and contextual analysis, I discuss whether the existence of these two quantitative frameworks is a challenge to realism.
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  30. William P. Bechtel (2002). Decomposing the Brain: A Long Term Pursuit. [REVIEW] Brain and Mind 3 (1):229-242.score: 9.0
    This paper defends cognitive neuroscience’s project of developing mechanistic explan- ations of cognitive processes through decomposition and localization against objections raised by William Uttal in The New Phrenology. The key issue between Uttal and researchers pursuing cognitive neuroscience is that Uttal bets against the possibility of decomposing mental operations into component elementary operations which are localized in distinct brain regions. The paper argues that it is through advancing and revising what are likely to be overly simplistic and incorrect decompositions (...)
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  31. Stig Stenholm (2009). Entanglement of Pure States. Foundations of Physics 39 (6):642-655.score: 9.0
    We consider the concept of entanglement for pure cases of finite dimensional state spaces. The criterion of unentangled states is related to demanding rank one of an associated eigenvalue problem. In addition to the conventional procedure based on the Schmidt decomposition, we devise a method based on the spectral resolution of unsymmetric matrices. In particular, we consider the case when all eigenvalues are zero, and find that the method still works.
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  32. Chris Fields (2014). On the Ollivier–Poulin–Zurek Definition of Objectivity. Axiomathes 24 (1):137-156.score: 9.0
    The Ollivier–Poulin–Zurek definition of objectivity provides a philosophical basis for the environment as witness formulation of decoherence theory and hence for quantum Darwinism. It is shown that no account of the reference of the key terms in this definition can be given that does not render the definition inapplicable within quantum theory. It is argued that this is not the fault of the language used, but of the assumption that the laws of physics are independent of Hilbert-space decomposition. All (...)
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  33. Thomas Metzinger & Vittorio Gallese (2003). The Emergence of a Shared Action Ontology: Building Blocks for a Theory. Consciousness and Cognition 12 (4):549-571.score: 9.0
    To have an ontology is to interpret a world. In this paper we argue that the brain, viewed as a representational system aimed at interpreting our world, possesses an ontology too. It creates primitives and makes existence assumptions. It decomposes target space in a way that exhibits a certain invariance, which in turn is functionally significant. We will investigate which are the functional regularities guiding this decomposition process, by answering to the following questions: What are the explicit and implicit (...)
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  34. Matthew C. Altman (2007). The Decomposition of the Corporate Body: What Kant Cannot Contribute to Business Ethics. [REVIEW] Journal of Business Ethics 74 (3):253 - 266.score: 9.0
    Kant is gaining popularity in business ethics because the categorical imperative rules out actions such as deceptive advertising and exploitative working conditions, both of which treat people merely as means to an end. However, those who apply Kant in this way often hold businesses themselves morally accountable, and this conception of collective responsibility contradicts the kind of moral agency that underlies Kant's ethics. A business has neither inclinations nor the capacity to reason, so it lacks the conditions necessary for constraint (...)
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  35. Anatolij Dvurečenskij (2013). Kite Pseudo Effect Algebras. Foundations of Physics 43 (11):1314-1338.score: 9.0
    We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a noncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the (...)
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  36. Marcin Miłkowski (2008). When Weak Modularity is Robust Enough? Análisis Filosófico 28 (1):77-89.score: 9.0
    In this paper, I suggest that the notion of module explicitly defined by Peter Carruthers in The Architecture of The Mind (Carruthers 2006) is not really In use in the book. Instead, a more robust notion seems to be actually in play. The more robust notion, albeit implicitly assumed, seems to be far more useful for making claims about the modularity of mind. Otherwise, the claims would become trivial. This robust notion will be reconstructed and improved upon by putting it (...)
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  37. Markus Werning & M. Werning, Conceptual Fingerprints: Lexical Decomposition by Means of Frames – a Neuro-Cognitive Model.score: 9.0
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  38. Anatolij Dvurečenskij (2011). States on Pseudo Effect Algebras and Integrals. Foundations of Physics 41 (7):1143-1162.score: 9.0
    We show that every state on an interval pseudo effect algebra E satisfying an appropriate version of the Riesz Decomposition Property (RDP for short) is an integral through a regular Borel probability measure defined on the Borel σ-algebra of a Choquet simplex K. In particular, if E satisfies the strongest type of RDP, the representing Borel probability measure can be uniquely chosen to have its support in the set of the extreme points of K.
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  39. Neil Tennant (2013). Parts, Classes and ≪em Class="a-Plus-Plus"≫Parts of Classes≪/Em≫: An Anti-Realist Reading of Lewisian Mereology. Synthese 190 (4):709-742.score: 9.0
    This study is in two parts. In the first part, various important principles of classical extensional mereology are derived on the basis of a nice axiomatization involving ‘part of’ and fusion. All results are proved here with full Fregean (and Gentzenian) rigor. They are chosen because they are needed for the second part. In the second part, this natural-deduction framework is used in order to regiment David Lewis’s justification of his Division Thesis, which features prominently in his combination of mereology (...)
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  40. Richard M. Friedberg (1958). Three Theorems on Recursive Enumeration. I. Decomposition. II. Maximal Set. III. Enumeration Without Duplication. Journal of Symbolic Logic 23 (3):309-316.score: 9.0
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  41. Pirmin Stekeler-Weithofer (2008). The Computational Theory of Mind and the Decomposition of Actions. Philosophical Topics 36 (2):63-86.score: 9.0
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  42. Crawford L. Elder (2000). Familiar Objects and the Sorites of Decomposition. American Philosophical Quarterly 37 (1):79 - 89.score: 9.0
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  43. Anthony Dardis (1995). Discovering Complexity: Decomposition and Localization as Strategies in Scientific Research. Metaphilosophy 26 (4):435-440.score: 9.0
    Book review of Bechtel and Richardson, Discovering Complexity (1993). Review suggests that one theme of the book -- that scientific reason is "constituted" in part by a cognitive strategy of finding complexity -- is not fully supported.
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  44. Philip Kitcher (1990). Developmental Decomposition and the Future of Human Behavioral Ecology. Philosophy of Science 57 (1):96-117.score: 9.0
    I attempt to complement my earlier critiques of human sociobiology, by offering an account of how evolutionary ideas might legitimately be employed in the study of human social behavior. The main emphasis of the paper is the need to integrate studies of proximate mechanisms and their ontogenesis with functional/evolutionary research. Human psychological complexity makes it impossible to focus simply on specific types of human behavior and ask for their functional significance. For any of the kinds of behavior patterns that have (...)
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  45. W. J. (1995). E.-J. Marey's Visual Rhetoric and the Graphic Decomposition of the Body. Studies in History and Philosophy of Science Part A 26 (2):175-204.score: 9.0
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  46. V. Tamma, C. O. Alley, W. P. Schleich & Y. H. Shih (2012). Prime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers. Foundations of Physics 42 (1):111-121.score: 9.0
    The phase φ of any wave is determined by the ratio x/λ consisting of the distance x propagated by the wave and its wavelength λ. Hence, the dependence of φ on λ constitutes an analogue system for the mathematical operation of division, that is to obtain the hyperbolic function f(ξ)≡1/ξ. We take advantage of this observation to decompose integers into primes and implement this approach towards factorization of numbers in a multi-path Michelson interferometer. This work is part of a larger (...)
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  47. Anatolij Dvurečenskij (2013). Smearing of Observables and Spectral Measures on Quantum Structures. Foundations of Physics 43 (2):210-224.score: 9.0
    An observable on a quantum structure is any σ-homomorphism of quantum structures from the Borel σ-algebra of the real line into the quantum structure which is in our case a monotone σ-complete effect algebra with the Riesz Decomposition Property. We show that every observable is a smearing of a sharp observable which takes values from a Boolean σ-subalgebra of the effect algebra, and we prove that for every element of the effect algebra there corresponds a spectral measure.
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  48. Peter Alward, Comments on Patrick McGivern's “Parts of Properties: Realization as Decomposition”.score: 9.0
    My main reaction to MCGivern’s paper was one of dialectical puzzlement. Block argues that, Macro Non-Reduction: [all] macro properties are irreducible to the micro properties on which they supervene..
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  49. Arnon Avron & Beata Konikowska (2001). Decomposition Proof Systems for Gödel-Dummett Logics. Studia Logica 69 (2):197-219.score: 9.0
    The main goal of the paper is to suggest some analytic proof systems for LC and its finite-valued counterparts which are suitable for proof-search. This goal is achieved through following the general Rasiowa-Sikorski methodology for constructing analytic proof systems for semantically-defined logics. All the systems presented here are terminating, contraction-free, and based on invertible rules, which have a local character and at most two premises.
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  50. John W. Douard (1995). E.-J. Marey's Visual Rhetoric and the Graphic Decomposition of the Body. Studies in History and Philosophy of Science Part A 26 (2):175-204.score: 9.0
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