Results for ' local modularity'

988 found
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  1.  10
    Locally modular geometries in homogeneous structures.Tapani Hyttinen - 2005 - Mathematical Logic Quarterly 51 (3):291.
    We show that if M is a strongly minimal large homogeneous structure in a countable similarity type and the pregeometry of M is locally modular but not modular, then the pregeometry is affine over a division ring.
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  2.  14
    On locally modular, weakly minimal theories.James Loveys - 1993 - Archive for Mathematical Logic 32 (3):173-194.
  3.  20
    Locally modular theories of finite rank.Steven Buechler - 1986 - Annals of Pure and Applied Logic 30 (1):83-94.
  4.  49
    Locality, modularity, and computational neural networks.Horst Bischof - 1997 - Behavioral and Brain Sciences 20 (3):516-517.
    There is a distinction between locality and modularity. These two terms have often been used interchangeably in the target article and commentary. Using this distinction we argue in favor of a modularity. In addition we also argue that both PDP-type networks and box-and-arrow models have their own strengths and pitfalls.
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  5.  25
    Locality, modularity and numerical cognition.Jamie I. D. Campbell - 1994 - Behavioral and Brain Sciences 17 (1):63-64.
  6.  12
    Modularity need not imply locality: Damaged modules can have nonlocal effects.Edgar Zurif & David Swinney - 1994 - Behavioral and Brain Sciences 17 (1):89-90.
  7.  12
    Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts.Bogdan Staruch & Bożena Staruch - 2016 - Bulletin of the Section of Logic 45 (3/4).
    We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition is based on the properties of the congruence lattices of algebras. We consider four properties of lattices: atomic, atomless, locally uniform and anti-uniform. In effect, we describe a star-decomposition of a given algebra with modular congruence lattice into two or three parts associated to these properties.
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  8.  8
    Locality and modular Ehrenfeucht–Fraïssé games.Achim Blumensath - 2012 - Journal of Applied Logic 10 (1):144-162.
  9. Structuralism, Modular Construction, and “Grid” As Universal Instruments for Building Designs.Klodjan Xhexhi - 2023 - International Journal of Advanced Natural Sciences and Engineering Researches 7:198-197.
    Structuralism can be defined as an important concept of using “units” as elements of form and space-giving, where the whole form is made not only up of a “texture”, a certain flexible grid, or an algorithm of shape-giving, but it depends also on the relationships created and how people use it. The hypothesis of this study is that “Modular Construction” can also have an aesthetically pleasing outlook and that modular housing can definitely have increasing importance in the future. Modular housing (...)
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  10. Modularity and relevance: How can a massively modular mind be flexible and context-sensitive.Dan Sperber - 2005 - In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press USA. pp. 53.
    The claim that the human cognitive system tends to allocate resources to the processing of available inputs according to their expected relevance is at the basis of relevance theory. The main thesis of this chapter is that this allocation can be achieved without computing expected relevance. When an input meets the input condition of a given modular procedure, it gives this procedure some initial level of activation. Input-activated procedures are in competition for the energy resources that would allow them to (...)
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  11. A modular geometric mechanism for reorientation in children.Sang Ah Lee & Elizabeth S. Spelke - unknown
    Although disoriented young children reorient themselves in relation to the shape of the surrounding surface layout, cognitive accounts of this ability vary. The present paper tests three theories of reorientation: a snapshot theory based on visual image-matching computations, an adaptive combination theory proposing that diverse environmental cues to orientation are weighted according to their experienced reliability, and a modular theory centering on encapsulated computations of the shape of the extended surface layout. Seven experiments test these theories by manipulating four properties (...)
     
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  12.  13
    Modularity in musical processing: The automaticity of harmonic priming.Timothy Justus & Jamshed Bharucha - 2001 - Journal of Experimental Psychology: Human Perception and Performance 27 (4):1000-1011.
    Three experiments investigated the modularity of harmonic expectations that are based on cultural schemata despite the availability of more predictive veridical information. Participants were presented with prime–target chord pairs and made an intonation judgment about each target. Schematic expectation was manipulated by the combination of prime and target, with some transitions being schematically more probable than others. Veridical information in the form of prime–target previews, local transition probabilities, or valid versus invalid previews was also provided. Processing was facilitated (...)
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  13.  33
    Modular Localization and the Foundational Origin of Integrability.Bert Schroer - 2013 - Foundations of Physics 43 (3):329-372.
    The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of finding sufficiently many conservation laws. Its precise conceptual-mathematical formulation as “modular localization” within the setting of local operator algebras also suggests novel ways of looking at general (non-integrable) QFTs which are not based on quantizing classical field theories.Conformal QFT, which is known to admit no particle interpretation, suggest the presence of (...)
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  14.  8
    Interpreting groups inside modular strongly minimal homogeneous models.Tapani Hyttinen - 2003 - Journal of Mathematical Logic 3 (01):127-142.
    A large homogeneous model M is strongly minimal, if any definable subset is either bounded or has bounded complement. In this case is a pregeometry, where bcl denotes the bounded closure operation. In this paper, we show that if M is a large homogeneous strongly minimal structure and is non-trivial and locally modular, then M interprets a group. In addition, we give a description of such groups.
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  15. Enzymatic computation and cognitive modularity.H. Clark Barrett - 2005 - Mind and Language 20 (3):259-87.
    Currently, there is widespread skepticism that higher cognitive processes, given their apparent flexibility and globality, could be carried out by specialized computational devices, or modules. This skepticism is largely due to Fodor’s influential definition of modularity. From the rather flexible catalogue of possible modular features that Fodor originally proposed has emerged a widely held notion of modules as rigid, informationally encapsulated devices that accept highly local inputs and whose opera- tions are insensitive to context. It is a mistake, (...)
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  16.  58
    Neural Reuse and the Modularity of Mind: Where to Next for Modularity?John Zerilli - 2019 - Biological Theory 14 (1):1-20.
    The leading hypothesis concerning the “reuse” or “recycling” of neural circuits builds on the assumption that evolution might prefer the redeployment of established circuits over the development of new ones. What conception of cognitive architecture can survive the evidence for this hypothesis? In particular, what sorts of “modules” are compatible with this evidence? I argue that the only likely candidates will, in effect, be the columns which Vernon Mountcastle originally hypothesized some 60 years ago, and which form part of the (...)
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  17.  22
    Strong modularity and circular reasoning pervade the planning–control model.Verónica C. Ramenzoni & Michael A. Riley - 2004 - Behavioral and Brain Sciences 27 (1):48-49.
    We believe the dichotomy of processes introduced in the target article is highly speculative, because the dichotomy is shaped by the questionable assumption of modularity and the complementary assumption of locality. As a result, the author falls into a line of circular reasoning that biases his analysis of the experimental and neuropsychological data, and weakens the proposed model.
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  18.  15
    Enzymatic Computation and Cognitive Modularity.H. Clark Barrett - 2005 - Mind and Language 20 (3):259-287.
    Currently, there is widespread skepticism that higher cognitive processes, given their apparent flexibility and globality, could be carried out by specialized computational devices, or modules. This skepticism is largely due to Fodor's influential definition of modularity. From the rather flexible catalogue of possible modular features that Fodor originally proposed has emerged a widely held notion of modules as rigid, informationally encapsulated devices that accept highly local inputs and whose operations are insensitive to context. It is a mistake, however, (...)
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  19.  19
    Parallel distributed processing challenges the strong modularity hypothesis, not the locality assumption.David C. Plaut - 1994 - Behavioral and Brain Sciences 17 (1):77-78.
  20.  81
    Varieties of modularity for causal and constitutive explanations.Jaakko Kuorikoski - unknown
    The invariance under interventions –account of causal explanation imposes a modularity constraint on causal systems: a local intervention on a part of the system should not change other causal relations in that system. This constraint has generated criticism against the account, since many ordinary causal systems seem to break this condition. This paper answers to this criticism by noting that explanatory models are always models of specific causal structures, not causal systems as a whole, and that models of (...)
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  21. Evolutionary psychology, meet developmental neurobiology: Against promiscuous modularity.David J. Buller & Valerie Gray Hardcastle - 2000 - Brain and Mind 1 (3):307-25.
    Evolutionary psychologists claim that the mind contains “hundreds or thousands” of “genetically specified” modules, which are evolutionary adaptations for their cognitive functions. We argue that, while the adult human mind/brain typically contains a degree of modularization, its “modules” are neither genetically specified nor evolutionary adaptations. Rather, they result from the brain’s developmental plasticity, which allows environmental task demands a large role in shaping the brain’s information-processing structures. The brain’s developmental plasticity is our fundamental psychological adaptation, and the “modules” that result (...)
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  22.  12
    ERPs and the modularity of cognitive processes.Valerie Gray Hardcastle - 1997 - Behavioral and Brain Sciences 20 (3):520-521.
    Farah argues that nonlocal models explain clinical data better. However, the locality assumption does not seem so implausible if different sorts of data are taken into account. In particular, priming experiments using evoked response potentials support modularity. I describe some ERP studies relevant to this issue.
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  23.  47
    Neuropsychological inference with an interactive brain: A critique of the “locality” assumption.Martha J. Farah - 1994 - Behavioral and Brain Sciences 17 (1):43-61.
    When cognitive neuropsychologists make inferences about the functional architecture of the normal mind from selective cognitive impairments they generally assume that the effects of brain damage are local, that is, that the nondamaged components of the architecture continue to function as they did before the damage. This assumption follows from the view that the components of the functional architecture are modular, in the sense of being informationally encapsulated. In this target article it is argued that this “locality” assumption is (...)
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  24. Pseudoprojective strongly minimal sets are locally projective.Steven Buechler - 1991 - Journal of Symbolic Logic 56 (4):1184-1194.
    Let D be a strongly minimal set in the language L, and $D' \supset D$ an elementary extension with infinite dimension over D. Add to L a unary predicate symbol D and let T' be the theory of the structure (D', D), where D interprets the predicate D. It is known that T' is ω-stable. We prove Theorem A. If D is not locally modular, then T' has Morley rank ω. We say that a strongly minimal set D is pseudoprojective (...)
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  25.  64
    Culture and modularity.Dan Sperber & Lawrence Hirschfeld - 2005 - In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press USA.
    Members of a human group are bound with one another by multiple flows of information. (Here we use “information” in a broad sense that includes not only the content of people’s knowledge, but also that of their beliefs, assumptions, fictions, rules, norms, skills, maps, images, and so on.) This information is materially realized in the mental representations of the people, and in their public productions, that is, their cognitively guided behaviors and the enduring material traces of these behaviors. Mentally represented (...)
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  26.  15
    The fragility of the locality assumption: Comparative evidence.Philip J. Benson - 1997 - Behavioral and Brain Sciences 20 (3):515-516.
    The locality assumption (LA) seems rather awkward, especially when one considers centres of neuronal specialisation as defined by observed CNS activity. It is clear from electrophysiology that extra-striate functional compartmentalisation (modularity) is rather less well-defined than first thought; neuropsychological assessment attaching significance to varieties of preserved behaviour also reveals that some basic flaws must be inherent in current reasoning supporting LA.
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  27. Experimental Evidence for a Dynamical Non-locality Induced Effect in Quantum Interference Using Weak Values.S. E. Spence & A. D. Parks - 2012 - Foundations of Physics 42 (6):803-815.
    The quantum theoretical concepts of modular momentum and dynamical non-locality, which were introduced four decades ago, have recently been used to explain single particle quantum interference phenomena. Although the non-local exchange of modular momentum associated with such phenomena cannot be directly observed, it has been suggested that effects induced by this exchange can be measured experimentally using weak measurements of pre- and post-selected ensembles of particles. This paper reports on such an optical experiment that yielded measured weak values that (...)
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  28.  9
    Neuropsychological inference with an interactive brain: A critique of the “locality” assumption.Martha J. Farah - 1994 - Behavioral and Brain Sciences 17 (1):90-100.
    When cognitive neuropsychologists make inferences about the functional architecture of the normal mind from selective cognitive impairments they generally assume that the effects of brain damage are local, that is, that the nondamaged components of the architecture continue to function as they did before the damage. This assumption follows from the view that the components of the functional architecture are modular, in the sense of being informationally encapsulated. In this target article it is argued that this “locality” assumption is (...)
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  29.  53
    Thorn-forking as local forking.Hans Adler - 2009 - Journal of Mathematical Logic 9 (1):21-38.
    A ternary relation [Formula: see text] between subsets of the big model of a complete first-order theory T is called an independence relation if it satisfies a certain set of axioms. The primary example is forking in a simple theory, but o-minimal theories are also known to have an interesting independence relation. Our approach in this paper is to treat independence relations as mathematical objects worth studying. The main application is a better understanding of thorn-forking, which turns out to be (...)
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  30. Holism without tears: Local and global effects in cognitive processing.Ron McClamrock - 1989 - Philosophy of Science 56 (June):258-74.
    The suggestion that cognition is holistic has become a prominent criticism of optimism about the prospects for cognitive science. This paper argues that the standard motivation for this holism, that of epistemological holism, does not justify this pessimism. An illustration is given of how the effects of epistemological holism on perception are compatible with the view that perceptual processes are highly modular. A suggestion for generalizing this idea to conceptual cognitive processing is made, and an account of the holists' failure (...)
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  31.  32
    An innate language faculty needs neither modularity nor localization.Derek Bickerton - 1996 - Behavioral and Brain Sciences 19 (4):631-632.
    Müller misconstrues autonomy to mean strict locality of brain function, something quite different from the functional autonomy that linguists claim. Similarly, he misperceives the interaction of learned and innate components hypothesized in current generative models. Evidence from sign languages, Creole languages, and neurological studies of rare forms of aphasia also argues against his conclusions.
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  32. On subgroups of the additive group in differentially closed fields.Sonat Süer - 2012 - Journal of Symbolic Logic 77 (2):369-391.
    In this paper we deal with the model theory of differentially closed fields of characteristic zero with finitely many commuting derivations. First we observe that the only known lower bound for the Lascar rank of types in differentially closed fields, announced in a paper of McGrail, is false. This gives us a new class of regular types which are orthogonal to fields. Then we classify the subgroups of the additive group of Lascar rank omega with differential-type 1 which are nonorthogonal (...)
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  33.  18
    Relative Vaught's Conjecture for Some Meager Groups.Ludomir Newelski - 2007 - Notre Dame Journal of Formal Logic 48 (1):115-132.
    Assume G is a superstable locally modular group. We describe for any countable model M of Th(G) the quotient group G(M) / Gm(M). Here Gm is the modular part of G. Also, under some additional assumptions we describe G(M) / Gm(M) relative to G⁻(M). We prove Vaught's Conjecture for Th(G) relative to Gm and a finite set provided that ℳ(G) = 1 and the ring of pseudoendomorphisms of G is finite.
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  34. Game-theoretic axioms for local rationality and bounded knowledge.Gian Aldo Antonelli & Cristina Bicchieri - 1995 - Journal of Logic, Language and Information 4 (2):145-167.
    We present an axiomatic approach for a class of finite, extensive form games of perfect information that makes use of notions like “rationality at a node” and “knowledge at a node.” We distinguish between the game theorist's and the players' own “theory of the game.” The latter is a theory that is sufficient for each player to infer a certain sequence of moves, whereas the former is intended as a justification of such a sequence of moves. While in general the (...)
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  35.  57
    Assessing statistical views of natural selection: Room for non-local causation?Philippe Huneman - 2013 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 44 (4):604-612.
    Recently some philosophers have emphasized a potentially irreconcilable conceptual antagonism between the statistical characterization of natural selection and the standard scientific discussion of natural selection in terms of forces and causes. Other philosophers have developed an account of the causal character of selectionist statements represented in terms of counterfactuals. I examine the compatibility between such statisticalism and counterfactually based causal accounts of natural selection by distinguishing two distinct statisticalist claims: firstly the suggested impossibility for natural selection to be a cause (...)
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  36.  39
    A genetic algorithm with local search strategy for improved detection of community structure.Shuzhuo Li, Yinghui Chen, Haifeng Du & Marcus W. Feldman - 2010 - Complexity 15 (4):NA-NA.
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  37.  25
    Generic pairs of SU-rank 1 structures.Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 120 (1-3):103-149.
    For a supersimple SU-rank 1 theory T we introduce the notion of a generic elementary pair of models of T . We show that the theory T* of all generic T-pairs is complete and supersimple. In the strongly minimal case, T* coincides with the theory of infinite dimensional pairs, which was used in 1184–1194) to study the geometric properties of T. In our SU-rank 1 setting, we use T* for the same purpose. In particular, we obtain a characterization of linearity (...)
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  38.  21
    Meager forking.Ludomir Newelski - 1994 - Annals of Pure and Applied Logic 70 (2):141-175.
    T is stable. We define the notion of meager regular type and prove that a meager regular type is locally modular. Assuming I < 2o and G is a definable abelian group with locally modular regular generics, we prove a counterpart of Saffe's conjecture. Using these results, for superstable T we prove the conjecture of vanishing multiplicities. Also, as a further application, in some additional cases we prove a conjecture regarding topological stability of pseudo-types over Q.
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  39.  27
    An exposition of Hrushovskiʼs New Strongly Minimal Set.Martin Ziegler - 2013 - Annals of Pure and Applied Logic 164 (12):1507-1519.
    We give an exposition of Hrushovskiʼs New Strongly Minimal Set : A strongly minimal theory which is not locally modular but does not interpret an infinite field. We give an exposition of his construction.
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  40.  22
    Hyperdefinable groups in simple theories.Frank Wagner - 2001 - Journal of Mathematical Logic 1 (01):125-172.
    We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, we prove the appropriate versions of Hrushovski's group quotient theorem and the Weil–Hrushovski group chunk theorem. We also study locally modular hyperdefinable groups and prove that they are bounded-by-Abelian-by-bounded. Finally, we analyze hyperdefinable groups in supersimple theories.
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  41.  52
    On lovely pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2010 - Annals of Pure and Applied Logic 161 (7):866-878.
    We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We use the pairs to isolate a class of geometric structures called weakly locally modular which generalizes the class of linear structures in the settings of SU-rank one theories and o-minimal theories. For o-minimal theories, we use the Peterzil–Starchenko trichotomy theorem to characterize for a sufficiently general point, the local geometry around it in terms of the thorn U-rank of its type inside a lovely pair.
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  42.  37
    A note on subgroups of the automorphism group of a saturated model, and regular types.A. Pillay - 1989 - Journal of Symbolic Logic 54 (3):858-864.
    Let $M$ be a saturated model of a superstable theory and let $G = \operatorname{Aut}(M)$. We study subgroups $H$ of $G$ which contain $G_{(A)}, A$ the algebraic closure of a finite set, generalizing results of Lascar [L] as well as giving an alternative characterization of the simple superstable theories of [P]. We also make some observations about good, locally modular regular types $p$ in the context of $p$-simple types.
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  43.  15
    Reducts of (c, +, ⋅) which contain +.D. Marker & A. Pillay - 1990 - Journal of Symbolic Logic 55 (3):1243-1251.
    We show that the structure (C,+,·) has no proper non locally modular reducts which contain +. In other words, if $X \subset \mathbf{C}^n$ is constructible and not definable in the module structure (C,+,λ a ) a ∈ C (where λ a denotes multiplication by a) then multiplication is definable in (C,+,X).
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  44.  34
    Finitely axiomatizable ℵ1 categorical theories.Ehud Hrushovski - 1994 - Journal of Symbolic Logic 59 (3):838 - 844.
    Finitely axiomatizable ℵ 1 categorical theories are locally modular.
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  45.  46
    The group configuration in simple theories and its applications.Itay Ben-Yaacov, Ivan Tomašić & Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (2):283-298.
    In recent work, the authors have established the group configuration theorem for simple theories, as well as some of its main applications from geometric stability theory, such as the binding group theorem, or in the $\omega$-categorical case, the characterization of the forking geometry of a finitely based non-trivial locally modular regular type as projective geometry over a finite field and the equivalence of pseudolinearity and local modularity. The proof necessitated an extension of the model-theoretic framework to include almost (...)
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  46.  25
    The geometry of weakly minimal types.Steven Buechler - 1985 - Journal of Symbolic Logic 50 (4):1044-1053.
    Let T be superstable. We say a type p is weakly minimal if R(p, L, ∞) = 1. Let $M \models T$ be uncountable and saturated, H = p(M). We say $D \subset H$ is locally modular if for all $X, Y \subset D$ with $X = \operatorname{acl}(X) \cap D, Y = \operatorname{acl}(Y) \cap D$ and $X \cap Y \neq \varnothing$ , dim(X ∪ Y) + dim(X ∩ Y) = dim(X) + dim(Y). Theorem 1. Let p ∈ S(A) be weakly (...)
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  47.  16
    Applications of the group configuration theorem in simple theories.Ivan Tomašić & Frank O. Wagner - 2003 - Journal of Mathematical Logic 3 (02):239-255.
    We reconstruct the group action in the group configuration theorem. We apply it to show that in an ω-categorical theory a finitely based pseudolinear regular type is locally modular, and the geometry associated to a finitely based locally modular regular type is projective geometry over a finite field.
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  48.  65
    Weakly one-based geometric theories.Alexander Berenstein & Evgueni Vassiliev - 2012 - Journal of Symbolic Logic 77 (2):392-422.
    We study the class of weakly locally modular geometric theories introduced in [4], a common generalization of the classes of linear SU-rank 1 and linear o-minimal theories. We find new conditions equivalent to weak local modularity: "weak one-basedness", absence of type definable "almost quasidesigns", and "generic linearity". Among other things, we show that weak one-basedness is closed under reducts. We also show that the lovely pair expansion of a non-trivial weakly one-based ω-categorical geometric theory interprets an infinite vector (...)
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  49.  52
    The classification of small types of rank ω, part I.Steven Buechler & Colleen Hoover - 2001 - Journal of Symbolic Logic 66 (4):1884-1898.
    Certain basic concepts of geometrical stability theory are generalized to a class of closure operators containing algebraic closure. A specific case of a generalized closure operator is developed which is relevant to Vaught's conjecture. As an application of the methods, we prove THEOREM A. Let G be a superstable group of U-rank ω such that the generics of G are locally modular and Th(G) has few countable models. Let G - be the group of nongeneric elements of G, G + (...)
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  50.  10
    Subgroups of the additive group of a separably closed field.Thomas Blossier - 2005 - Annals of Pure and Applied Logic 134 (2-3):169-216.
    We study the infinitely definable subgroups of the additive group in a separably closed field of finite positive imperfection degree. We give some constructions of families of such subgroups which confirm the diversity and the richness of this class of groups. We show in particular that there exists a locally modular minimal subgroup such that the division ring of its quasi-endomorphisms is not a fraction field of the ring of its definable endomorphisms, and that in contrast there exist 20 pairwise (...)
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