Results for 'topological index'

949 found
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  1.  27
    Network analysis using a novel highly discriminating topological index.Mircea V. Diudea, Aleksandar Ilić, Kurt Varmuza & Matthias Dehmer - 2011 - Complexity 16 (6):32-39.
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  2.  20
    Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks.Ali Ahmad & Muhammad Imran - 2022 - Complexity 2022:1-13.
    A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices. These topological descriptors intentionally associate certain physicochemical assets of the corresponding chemical compounds. Graph theory plays a very useful role in such type of research directions. The hex-derived networks have vast applications in computer science, physical sciences, and medical science, and these networks are constructed by hexagonal mesh (...)
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  3.  42
    A topological analog to the rice-Shapiro index theorem.Louise Hay & Douglas Miller - 1982 - Journal of Symbolic Logic 47 (4):824-832.
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  4.  24
    Computing Some Degree-Based Topological Indices of Honeycomb Networks.Lili Gu, Shamaila Yousaf, Akhlaq Ahmad Bhatti, Peng Xu & Adnan Aslam - 2022 - Complexity 2022:1-13.
    A topological index is a numeric quantity related with the chemical composition claiming to correlate the chemical structure with different chemical properties. Topological indices serve to predict physicochemical properties of chemical substance. Among different topological indices, degree-based topological indices would be helpful in investigating the anti-inflammatory activities of certain chemical networks. In the current study, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for oxide network O X (...)
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  5.  19
    Topological Aspects of Molecular Networks: Crystal Cubic Carbons.Muhammad Javaid, Aqsa Sattar & Ebenezer Bonyah - 2022 - Complexity 2022:1-14.
    Theory of networks serves as a mathematical foundation for the construction and modeling of chemical structures and complicated networks. In particular, chemical networking theory has a wide range of utilizations in the study of chemical structures, where examination and manipulation of chemical structural information are made feasible by utilizing the numerical graph invariants. A network invariant or a topological index is a numerical measure of a chemical compound which is capable to describe the chemical structural properties such as (...)
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  6.  47
    Topological representation of geometric theories.Henrik Forssell - 2012 - Mathematical Logic Quarterly 58 (6):380-393.
    Using Butz and Moerdijk's topological groupoid representation of a topos with enough points, a ‘syntax-semantics’ duality for geometric theories is constructed. The emphasis is on a logical presentation, starting with a description of the semantic topological groupoid of models and isomorphisms of a theory. It is then shown how to extract a theory from equivariant sheaves on a topological groupoid in such a way that the result is a contravariant adjunction between theories and groupoids, the restriction of (...)
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  7.  32
    Topological Modification of Brain Networks Organization in Children With High Intelligence Quotient: A Resting-State fMRI Study.Ilaria Suprano, Chantal Delon-Martin, Gabriel Kocevar, Claudio Stamile, Salem Hannoun, Sophie Achard, Amanpreet Badhwar, Pierre Fourneret, Olivier Revol, Fanny Nusbaum & Dominique Sappey-Marinier - 2019 - Frontiers in Human Neuroscience 13:455520.
    The idea that intelligence is embedded not only in a single brain network, but instead in a complex, well-optimized system of complementary networks, has led to the development of whole brain network analysis. Using graph theory to analyze resting-state functional MRI data, we investigated the brain graph networks (or brain networks) of high intelligence quotient (HIQ) children. To this end, we computed the “hub disruption index κ”, an index sensitive to graph network modifications. We found significant topological (...)
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  8. Topological Foundations of Cognitive Science.Carola Eschenbach, Christopher Habel & Barry Smith (eds.) - 1984 - Hamburg: Graduiertenkolleg Kognitionswissenschaft.
    A collection of papers presented at the First International Summer Institute in Cognitive Science, University at Buffalo, July 1994, including the following papers: ** Topological Foundations of Cognitive Science, Barry Smith ** The Bounds of Axiomatisation, Graham White ** Rethinking Boundaries, Wojciech Zelaniec ** Sheaf Mereology and Space Cognition, Jean Petitot ** A Mereotopological Definition of 'Point', Carola Eschenbach ** Discreteness, Finiteness, and the Structure of Topological Spaces, Christopher Habel ** Mass Reference and the Geometry of Solids, Almerindo (...)
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  9.  43
    Sublocales in Formal Topology.Steven Vickers - 2007 - Journal of Symbolic Logic 72 (2):463 - 482.
    The paper studies how the localic notion of sublocale transfers to formal topology. For any formal topology (not necessarily with positivity predicate) we define a sublocale to be a cover relation that includes that of the formal topology. The family of sublocales has set-indexed joins. For each set of base elements there are corresponding open and closed sublocales, boolean complements of each other. They generate a boolean algebra amongst the sublocales. In the case of an inductively generated formal topology, the (...)
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  10.  11
    Rhetorical Predicates and Time Topology in Anggor.Robert Litteral - 1972 - Foundations of Language 8 (3):391-410.
    The concept of rhetorical predicates reveals significant information about Anggor semantic structure. Still greater generality comes from introducing the theoretical concept of a topologically based time index. This topological handling of time provides a tool for studying universal aspects of the cognition of time. Time indexing provides an adequate means of indicating temporal relations in semantic structure without being compelled to consider particular surface manifestations of temporal relations as basic, and also provides a means of relating intralinguistic and (...)
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  11.  31
    Effective inseparability in a topological setting.Dieter Spreen - 1996 - Annals of Pure and Applied Logic 80 (3):257-275.
    Effective inseparability of pairs of sets is an important notion in logic and computer science. We study the effective inseparability of sets which appear as index sets of subsets of an effectively given topological T0-space and discuss its consequences. It is shown that for two disjoint subsets X and Y of the space one can effectively find a witness that the index set of X cannot be separated from the index set of Y by a recursively (...)
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  12.  39
    On the formal points of the formal topology of the binary tree.Silvio Valentini - 2002 - Archive for Mathematical Logic 41 (7):603-618.
    Formal topology is today an established topic in the development of constructive mathematics and constructive proofs for many classical results of general topology have been obtained by using this approach. Here we analyze one of the main concepts in formal topology, namely, the notion of formal point. We will contrast two classically equivalent definitions of formal points and we will see that from a constructive point of view they are completely different. Indeed, according to the first definition the formal points (...)
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  13.  32
    On Computation of Recently Defined Degree-Based Topological Indices of Some Families of Convex Polytopes via M-Polynomial.Deeba Afzal, Farkhanda Afzal, Mohammad Reza Farahani & Samia Ali - 2021 - Complexity 2021:1-11.
    Topological indices are of incredible significance in the field of graph theory. Convex polytopes play a significant role both in various branches of mathematics and also in applied areas, most notably in linear programming. We have calculated some topological indices such as atom-bond connectivity index, geometric arithmetic index, K-Banhatti indices, and K-hyper-Banhatti indices and modified K-Banhatti indices from some families of convex polytopes through M-polynomials. The M-polynomials of the graphs provide us with a great help to (...)
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  14.  29
    From Expert to Elite? — Research on Top Archer’s EEG Network Topology.Feng Gu, Anmin Gong, Yi Qu, Aiyong Bao, Jin Wu, Changhao Jiang & Yunfa Fu - 2022 - Frontiers in Human Neuroscience 16.
    It is not only difficult to be a sports expert but also difficult to grow from a sports expert to a sports elite. Professional athletes are often concerned about the differences between an expert and an elite and how to eventually become an elite athlete. To explore the differences in brain neural mechanism between experts and elites in the process of motor behavior and reveal the internal connection between motor performance and brain activity, we collected and analyzed the electroencephalography findings (...)
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  15.  21
    Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks.Chengmei Fan, M. Mobeen Munir, Zafar Hussain, Muhammad Athar & Jia-Bao Liu - 2021 - Complexity 2021:1-10.
    Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M -polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks S k n and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α, β -Zagreb index and (...)
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  16.  97
    A New Look at the Ancient Asian Philosophy through Modern Mathematical and Topological Scientific Analysis.Ting-Chao Chou - 2008 - Proceedings of the Xxii World Congress of Philosophy 2:21-39.
    The unified theory of dose and effect, as indicated by the median-effect equation for single and multiple entities and for the first and higher order kinetic/dynamic, has been established by T.C. Chou and it is based on the physical/chemical principle of the massaction law (J. Theor. Biol. 59: 253-276, 1976 (質量作用中效定理) and Pharmacological Rev. 58: 621-681, 2006) (普世中效指數定理). The theory was developed by the principle of mathematical induction and deduction (數學演繹歸納法). Rearrangements of the median-effect equation lead to Michaelis-Menten, Hill, Scatchard, (...)
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  17.  20
    Network Similarity Measure and Ediz Eccentric Connectivity Index.Guihai Yu & Xinzhuang Chen - 2020 - Complexity 2020:1-9.
    Network similarity measures have proven essential in the field of network analysis. Also, topological indices have been used to quantify the topology of networks and have been well studied. In this paper, we employ a new topological index which we call the Ediz eccentric connectivity index. We use this quantity to define network similarity measures as well. First, we determine the extremal value of the Ediz eccentric connectivity index on some network classes. Second, we compare (...)
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  18.  21
    Subgraph-Indexed Sequential Subdivision for Continuous Subgraph Matching on Dynamic Knowledge Graph.Yunhao Sun, Guanyu Li, Mengmeng Guan & Bo Ning - 2020 - Complexity 2020:1-18.
    Continuous subgraph matching problem on dynamic graph has become a popular research topic in the field of graph analysis, which has a wide range of applications including information retrieval and community detection. Specifically, given a query graph q, an initial graph G 0, and a graph update stream △ G i, the problem of continuous subgraph matching is to sequentially conduct all possible isomorphic subgraphs covering △ G i of q on G i. Since knowledge graph is a directed labeled (...)
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  19. Can partial indexings be totalized?Dieter Spreen - 2001 - Journal of Symbolic Logic 66 (3):1157-1185.
    In examples like the total recursive functions or the computable real numbers the canonical indexings are only partial maps. It is even impossible in these cases to find an equivalent total numbering. We consider effectively given topological T 0 -spaces and study the problem in which cases the canonical numberings of such spaces can be totalized, i.e., have an equivalent total indexing. Moreover, we show under very natural assumptions that such spaces can effectively and effectively homeomorphically be embedded into (...)
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  20.  74
    The grammar of the essential indexical.T. Martin & W. Hinzen - unknown
    Like proper names, demonstratives, and definite descriptions, pronouns have referential uses. These can be 'essentially indexical' in the sense that they cannot be replaced by non-pronominal forms of reference. Here we show that the grammar of pronouns in such occurrences is systematically different from that of other referential expressions, in a way that illuminates the differences in reference in question. We specifically illustrate, in the domain of Romance clitics and pronouns, a hierarchy of referentiality, as related to the topology of (...)
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  21.  15
    Index.Angus Fletcher - 2016 - In The Topological Imagination: Spheres, Edges, and Islands. Harvard University Press. pp. 211-216.
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  22.  44
    Algorithms for Computing Wiener Indices of Acyclic and Unicyclic Graphs.Bo Bi, Muhammad Kamran Jamil, Khawaja Muhammad Fahd, Tian-Le Sun, Imran Ahmad & Lei Ding - 2021 - Complexity 2021:1-6.
    Let G = V G, E G be a molecular graph, where V G and E G are the sets of vertices and edges. A topological index of a molecular graph is a numerical quantity which helps to predict the chemical/physical properties of the molecules. The Wiener, Wiener polarity, and the terminal Wiener indices are the distance-based topological indices. In this paper, we described a linear time algorithm that computes the Wiener index for acyclic graphs and (...)
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  23.  4
    Time.Richard Swinburne - 1994 - In The Christian God. New York: Oxford University Press.
    Everything that happens, happens over a period of time, and never at an instant. Time must have a topology, but it only has a metric if there are laws of nature. The future is what we can causally affect; the past is what causally affects us. There are both indexical and non‐indexical temporal facts Necessarily, time has no beginning and no end.
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  24.  28
    On weak filters and ultrafilters: Set theory from (and for) knowledge representation.Costas D. Koutras, Christos Moyzes, Christos Nomikos, Konstantinos Tsaprounis & Yorgos Zikos - 2023 - Logic Journal of the IGPL 31 (1):68-95.
    Weak filters were introduced by K. Schlechta in the ’90s with the aim of interpreting defaults via a generalized ‘most’ quantifier in first-order logic. They arguably represent the largest class of structures that qualify as a ‘collection of large subsets’ of a given index set |$I$|⁠, in the sense that it is difficult to think of a weaker, but still plausible, definition of the concept. The notion of weak ultrafilter naturally emerges and has been used in epistemic logic and (...)
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  25.  27
    Covers of Abelian varieties as analytic Zariski structures.Misha Gavrilovich - 2012 - Annals of Pure and Applied Logic 163 (11):1524-1548.
    We use tools of mathematical logic to analyse the notion of a path on a complex algebraic variety, and are led to formulate a “rigidity” property of fundamental groups specific to algebraic varieties, as well as to define a bona fide topology closely related to etale topology. These appear as criteria for ℵ1-categoricity, or rather stability and homogeneity, of the formal countable language we propose to describe homotopy classes of paths on a variety, or equivalently, its universal covering space.Technically, for (...)
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  26.  79
    Type-definability, compact lie groups, and o-minimality.Anand Pillay - 2004 - Journal of Mathematical Logic 4 (02):147-162.
    We study type-definable subgroups of small index in definable groups, and the structure on the quotient, in first order structures. We raise some conjectures in the case where the ambient structure is o-minimal. The gist is that in this o-minimal case, any definable group G should have a smallest type-definable subgroup of bounded index, and that the quotient, when equipped with the logic topology, should be a compact Lie group of the "right" dimension. I give positive answers to (...)
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  27.  95
    Shall I Compare Thee to a Minkowski-Ricardo-Leontief-Metzler Matrix of the Mosak-Hicks Type?: Or, Rhetoric, Mathematics, and the Nature of Neoclassical Economic Theory.Philip Mirowski - 1987 - Economics and Philosophy 3 (1):67-95.
    Is rhetoric just a new and trendy way toépater les bourgeois?Unfortunately, I think that the newfound interest of some economists in rhetoric, and particularly Donald McCloskey in his new book and subsequent responses to critics, gives that impression. After economists have worked so hard for the past five decades to learn their sums, differential calculus, real analysis, and topology, it is a fair bet that one could easily hector them about their woeful ignorance of the conjugation of Latin verbs or (...)
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  28. Reckoning the shape of everything: Underdetermination and cosmotopology.P. D. Magnus - 2005 - British Journal for the Philosophy of Science 56 (3):541-557.
    This paper offers a general characterization of underdetermination and gives a prima facie case for the underdetermination of the topology of the universe. A survey of several philosophical approaches to the problem fails to resolve the issue: the case involves the possibility of massive reduplication, but Strawson on massive reduplication provides no help here; it is not obvious that any of the rival theories are to be preferred on grounds of simplicity; and the usual talk of empirically equivalent theories misses (...)
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  29.  30
    Research of chemical elements and chemical bonds from the view of complex network.Runzhan Liu, Guoyong Mao & Ning Zhang - 2018 - Foundations of Chemistry 21 (2):193-206.
    Though complex networks have been widely applied in the research of chemistry, there is hardly any introduction about the establishment of networks using chemical bonds. In this paper, we consider chemical elements as a system linked by chemical bonds and create the undirected chemical bond network by abstracting nodes from elements and undirected edges from bonds. Connectivity, heterogeneity, small world and disassortativity of this network show the macro structural rationality of this system. The degree and k-order neighbors of an element, (...)
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  30.  51
    A descending chain condition for groups definable in o -minimal structures.Alessandro Berarducci, Margarita Otero, Yaa’cov Peterzil & Anand Pillay - 2005 - Annals of Pure and Applied Logic 134 (2):303-313.
    We prove that if G is a group definable in a saturated o-minimal structure, then G has no infinite descending chain of type-definable subgroups of bounded index. Equivalently, G has a smallest type-definable subgroup G00 of bounded index and G/G00 equipped with the “logic topology” is a compact Lie group. These results give partial answers to some conjectures of the fourth author.
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  31.  63
    Reduced coproducts of compact hausdorff spaces.Paul Bankston - 1987 - Journal of Symbolic Logic 52 (2):404-424.
    By analyzing how one obtains the Stone space of the reduced product of an indexed collection of Boolean algebras from the Stone spaces of those algebras, we derive a topological construction, the "reduced coproduct", which makes sense for indexed collections of arbitrary Tichonov spaces. When the filter in question is an ultrafilter, we show how the "ultracoproduct" can be obtained from the usual topological ultraproduct via a compactification process in the style of Wallman and Frink. We prove theorems (...)
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  32.  21
    Chronologie der Manuskripte 1885–89. Nachtrag zu KGW IX.Beat Röllin - 2024 - Nietzsche Studien 53 (1):246-305.
    Chronology of the Manuscripts 1885–89. Appendix to KGW IX. After the completion of the topological manuscript edition in section IX of the Kritische Gesamtausgabe der Werke (KGW IX), the additional chronological indexing of the late Nachlass remained a desideratum. The current manuscript closes this editorial gap. As an appendix to KGW IX, the chronology of the manuscripts 1885–89 provides the date for each distinguishable layer of inscription for every manuscript and note edited in KGW IX. In the first part (...)
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  33.  80
    On one-sided versus two-sided classification.Stephan Frank - 2001 - Archive for Mathematical Logic 40 (7):489-513.
    One-sided classifiers are computable devices which read the characteristic function of a set and output a sequence of guesses which converges to 1 iff the set on the input belongs to the gven class. Such a classifier istwo-sided if the sequence of its output in addition converges to 0 on setsnot belonging to the class. The present work obtains the below mentionedresults for one-sided classes (= Σ0 2 classes) with respect to four areas: Turing complexity, 1-reductions, index sets and (...)
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  34.  11
    Sets Completely Separated by Functions in Bishop Set Theory.Iosif Petrakis - 2024 - Notre Dame Journal of Formal Logic 65 (2):151-180.
    Within Bishop Set Theory, a reconstruction of Bishop’s theory of sets, we study the so-called completely separated sets, that is, sets equipped with a positive notion of an inequality, induced by a given set of real-valued functions. We introduce the notion of a global family of completely separated sets over an index-completely separated set, and we describe its Sigma- and Pi-set. The free completely separated set on a given set is also presented. Purely set-theoretic versions of the classical Stone–Čech (...)
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  35.  21
    Impacts of COVID-19 on the Return and Volatility Nexus among Cryptocurrency Market.Xin Sui, Guifen Shi, Guanchong Hou, Shaohan Huang & Yanshuang Li - 2022 - Complexity 2022:1-15.
    The impacts of COVID-19 have spread rapidly to global financial markets. In this context, combining the spillover index method introduced by Diebold and Yilmaz and the complex network analysis framework, we examined the volatility connectedness and the topological structure among the top ten cryptocurrencies before and during the COVID-19 crisis. The results revealed that the total volatility connectedness of the cryptocurrency market markedly increased following the outbreak of COVID-19; statically, Bitcoin, Ethereum, Cardano, and Bitcoin Cash were the net (...)
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  36.  20
    Groupes Fins.Cédric Milliet - 2014 - Journal of Symbolic Logic 79 (4):1120-1132.
    We investigate some common points between stable structures and weakly small structures and define a structureMto befineif the Cantor-Bendixson rank of the topological space${S_\varphi }\left} \right)$is an ordinal for every finite subsetAofMand every formula$\varphi \left$wherexis of arity 1. By definition, a theory isfineif all its models are so. Stable theories and small theories are fine, and weakly minimal structures are fine. For any finite subsetAof a fine groupG, the traces on the algebraic closure$acl\left$ofAof definable subgroups ofGover$acl\left$which are boolean combinations (...)
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  37.  22
    Guaranteed Cost Formation Tracking Control for Swarm Systems with Intermittent Communications.Purui Zhang, Xiaoqian Chen & Xiaogang Yang - 2020 - Complexity 2020:1-13.
    The current paper studies guaranteed cost time-varying formation tracking design and analysis problems of high-order swarm systems subject to intermittent communications. Different from the existing work of the time-varying formation control, the time-varying formation tracking can be achieved while certain performance can be guaranteed, and the impacts of the intermittent communications and switching topologies are considered. First, a new intermittent time-varying formation tracking control protocol with a global performance index is proposed, where not only the formation regulation performances but (...)
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  38. Determinism, indeterminism and the flow of time.Miloš Arsenijević - 2002 - Erkenntnis 56 (2):123 - 150.
    A set of axioms implicitly defining the standard, though not instant-based but interval-based, time topology is used as a basis to build a temporal modal logic of events. The whole apparatus contains neither past, present, and future operators nor indexicals, but only B-series relations and modal operators interpreted in the standard way. Determinism and indeterminism are then introduced into the logic of events via corresponding axioms. It is shown that, if determinism and indeterminism are understood in accordance with their core (...)
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  39. Robert litteral.Rhetorical Predicates & Time Topology In Anggor - 1972 - Foundations of Language 8:391.
     
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  40.  15
    İndex.* İndex * - 2015 - Sakarya Üniversitesi İlahiyat Fakültesi Dergisi 17 (31).
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  41. Decoupling Topological Explanations from Mechanisms.Daniel Kostic & Kareem Khalifa - 2023 - Philosophy of Science 90 (2):245 - 268.
    We provide three innovations to recent debates about whether topological or “network” explanations are a species of mechanistic explanation. First, we more precisely characterize the requirement that all topological explanations are mechanistic explanations and show scientific practice to belie such a requirement. Second, we provide an account that unifies mechanistic and non-mechanistic topological explanations, thereby enriching both the mechanist and autonomist programs by highlighting when and where topological explanations are mechanistic. Third, we defend this view against (...)
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  42. Topological explanations and robustness in biological sciences.Philippe Huneman - 2010 - Synthese 177 (2):213-245.
    This paper argues that besides mechanistic explanations, there is a kind of explanation that relies upon “topological” properties of systems in order to derive the explanandum as a consequence, and which does not consider mechanisms or causal processes. I first investigate topological explanations in the case of ecological research on the stability of ecosystems. Then I contrast them with mechanistic explanations, thereby distinguishing the kind of realization they involve from the realization relations entailed by mechanistic explanations, and explain (...)
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  43. The topological realization.Daniel Kostić - 2018 - Synthese (1).
    In this paper, I argue that the newly developed network approach in neuroscience and biology provides a basis for formulating a unique type of realization, which I call topological realization. Some of its features and its relation to one of the dominant paradigms of realization and explanation in sciences, i.e. the mechanistic one, are already being discussed in the literature. But the detailed features of topological realization, its explanatory power and its relation to another prominent view of realization, (...)
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  44. Topological Explanations: An Opinionated Appraisal.Daniel Kostić - 2022 - In Insa Lawler, Kareem Khalifa & Elay Shech, Scientific Understanding and Representation: Modeling in the Physical Sciences. New York, NY: Routledge. pp. 96-115.
    This chapter provides a systematic overview of topological explanations in the philosophy of science literature. It does so by presenting an account of topological explanation that I (Kostić and Khalifa 2021; Kostić 2020a; 2020b; 2018) have developed in other publications and then comparing this account to other accounts of topological explanation. Finally, this appraisal is opinionated because it highlights some problems in alternative accounts of topological explanations, and also it outlines responses to some of the main (...)
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  45. The Topology of Communities of Trust.Mark Alfano - 2016 - Russian Sociological Review 15 (4):30-56.
    Hobbes emphasized that the state of nature is a state of war because it is characterized by fundamental and generalized distrust. Exiting the state of nature and the conflicts it inevitably fosters is therefore a matter of establishing trust. Extant discussions of trust in the philosophical literature, however, focus either on isolated dyads of trusting individuals or trust in large, faceless institutions. In this paper, I begin to fill the gap between these extremes by analyzing what I call the topology (...)
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  46.  16
    On Topology.John W. P. Phillips - 2013 - Theory, Culture and Society 30 (5):122-152.
    Recent arguments asserting a topological turn in culture also identify a range of topologically informed interventions in social and cultural theory. Talk of a topological turn evokes both the enduring interest that the field of mathematics presents and the business of analysis in the cultural sphere. This article questions the novelty of this ‘becoming topological of culture’ and digs into a deeper historicity in order to identify the trends that may be said to support the development of (...)
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  47. A topological theory of fundamental concrete particulars.Daniel Giberman - 2015 - Philosophical Studies 172 (10):2679-2704.
    Fundamental concrete particulars are needed to explain facts about non-fundamental concrete particulars. However, the former can only play this explanatory role if they are properly discernible from the latter. Extant theories of how to discern fundamental concreta primarily concern mereological structure. Those according to which fundamental concreta can bear, but not be, proper parts are motivated by the possibilities that all concreta bear proper parts and that some properties of wholes are not fixed by the properties of their proper parts. (...)
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  48.  65
    The Place of Topology: Responding to Crowell, Beistegui, and Young.Jeff Malpas - 2011 - International Journal of Philosophical Studies 19 (2):295 - 315.
    The idea of philosophical topology, or topography as I call it outside of the Heideggerian context, has become increasingly central to my work over the last twenty years. While the idea is not indebted only to Heidegger’s thinking, it is probably Heidegger to whom I owe the most. Moreover, one of my claims, central to _Heidegger’s Topology_, is that Heidegger’s own work cannot adequately be understood except as topological in character, and so as centrally concerned with place – _topos, (...)
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    Topologizing Interpretable Groups in p-Adically Closed Fields.Will Johnson - 2023 - Notre Dame Journal of Formal Logic 64 (4):571-609.
    We consider interpretable topological spaces and topological groups in a p-adically closed field K. We identify a special class of “admissible topologies” with topological tameness properties like generic continuity, similar to the topology on definable subsets of Kn. We show that every interpretable set has at least one admissible topology, and that every interpretable group has a unique admissible group topology. We then consider definable compactness (in the sense of Fornasiero) on interpretable groups. We show that an (...)
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  50.  46
    Dynamic Topological Logic Interpreted over Minimal Systems.David Fernández-Duque - 2011 - Journal of Philosophical Logic 40 (6):767-804.
    Dynamic Topological Logic ( ) is a modal logic which combines spatial and temporal modalities for reasoning about dynamic topological systems , which are pairs consisting of a topological space X and a continuous function f : X → X . The function f is seen as a change in one unit of time; within one can model the long-term behavior of such systems as f is iterated. One class of dynamic topological systems where the long-term (...)
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