Results for 'Abstraction'

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  1. Abstract Objects and the Semantics of Natural Language.Friederike Moltmann - 2013 - Oxford University Press.
    This book pursues the question of how and whether natural language allows for reference to abstract objects in a fully systematic way. By making full use of contemporary linguistic semantics, it presents a much greater range of linguistic generalizations than has previously been taken into consideration in philosophical discussions, and it argues for an ontological picture is very different from that generally taken for granted by philosophers and semanticists alike. Reference to abstract objects such as properties, numbers, propositions, and degrees (...)
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  2. Abstract Objects: An Introduction to Axiomatic Metaphysics.Edward N. Zalta - 1983 - D. Reidel.
    In this book, Zalta attempts to lay the axiomatic foundations of metaphysics by developing and applying a (formal) theory of abstract objects. The cornerstones include a principle which presents precise conditions under which there are abstract objects and a principle which says when apparently distinct such objects are in fact identical. The principles are constructed out of a basic set of primitive notions, which are identified at the end of the Introduction, just before the theorizing begins. The main reason for (...)
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  3. Abstract Objects.BOB HALE - 1987 - Blackwell.
  4. Abstract Particulars.Keith Campbell - 1990 - Blackwell.
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  5. Explanatory Abstractions.Lina Jansson & Juha Saatsi - 2019 - British Journal for the Philosophy of Science 70 (3):817–844.
    A number of philosophers have recently suggested that some abstract, plausibly non-causal and/or mathematical, explanations explain in a way that is radically dif- ferent from the way causal explanation explain. Namely, while causal explanations explain by providing information about causal dependence, allegedly some abstract explanations explain in a way tied to the independence of the explanandum from the microdetails, or causal laws, for example. We oppose this recent trend to regard abstractions as explanatory in some sui generis way, and argue (...)
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  6.  77
    Abstract Measurement Theory.Louis Narens (ed.) - 1985 - MIT Press.
    The need for quantitative measurement represents a unifying bond that links all the physical, biological, and social sciences. Measurements of such disparate phenomena as subatomic masses, uncertainty, information, and human values share common features whose explication is central to the achievement of foundational work in any particular mathematical science as well as for the development of a coherent philosophy of science. This book presents a theory of measurement, one that is "abstract" in that it is concerned with highly general axiomatizations (...)
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  7. An Abstract Framework for Argumentation with Structured Arguments.Henry Prakken - 2010 - Argument and Computation 1 (2):93-124.
    An abstract framework for structured arguments is presented, which instantiates Dung's ('On the Acceptability of Arguments and its Fundamental Role in Nonmonotonic Reasoning, Logic Programming, and n- Person Games', Artificial Intelligence , 77, 321-357) abstract argumentation frameworks. Arguments are defined as inference trees formed by applying two kinds of inference rules: strict and defeasible rules. This naturally leads to three ways of attacking an argument: attacking a premise, attacking a conclusion and attacking an inference. To resolve such attacks, preferences may (...)
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  8. Abstract Explanations in Science.Christopher Pincock - 2015 - British Journal for the Philosophy of Science 66 (4):857-882.
    This article focuses on a case that expert practitioners count as an explanation: a mathematical account of Plateau’s laws for soap films. I argue that this example falls into a class of explanations that I call abstract explanations.explanations involve an appeal to a more abstract entity than the state of affairs being explained. I show that the abstract entity need not be causally relevant to the explanandum for its features to be explanatorily relevant. However, it remains unclear how to unify (...)
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  9. Empiricism Without Magic: Transformational Abstraction in Deep Convolutional Neural Networks.Cameron Buckner - 2018 - Synthese (12):1-34.
    In artificial intelligence, recent research has demonstrated the remarkable potential of Deep Convolutional Neural Networks (DCNNs), which seem to exceed state-of-the-art performance in new domains weekly, especially on the sorts of very difficult perceptual discrimination tasks that skeptics thought would remain beyond the reach of artificial intelligence. However, it has proven difficult to explain why DCNNs perform so well. In philosophy of mind, empiricists have long suggested that complex cognition is based on information derived from sensory experience, often appealing to (...)
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  10. Abstract Creationism and Authorial Intention.David Friedell - 2016 - Journal of Aesthetics and Art Criticism 74 (2):129-137.
    Abstract creationism about fictional characters is the view that fictional characters are abstract objects that authors create. I defend this view against criticisms from Stuart Brock that hitherto have not been adequately countered. The discussion sheds light on how the number of fictional characters depends on authorial intention. I conclude also that we should change how we think intentions are connected to artifacts more generally, both abstract and concrete.
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  11.  75
    Abstract Entities.Sam Cowling - 2017 - Routledge.
    Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...)
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  12.  36
    Abstract Objects.Gideon Rosen - 2012 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. The Metaphysics Research Lab, Center for the Study of Language and Information, Stanford University.
    It is widely supposed that every entity falls into one of twocategories: Some are concrete; the rest abstract. The distinction issupposed to be of fundamental significance for metaphysics andepistemology. This article surveys a number of recent attempts to sayhow it should be drawn.
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  13. Abstraction in Computer Science.Timothy Colburn & Gary Shute - 2007 - Minds and Machines 17 (2):169-184.
    We characterize abstraction in computer science by first comparing the fundamental nature of computer science with that of its cousin mathematics. We consider their primary products, use of formalism, and abstraction objectives, and find that the two disciplines are sharply distinguished. Mathematics, being primarily concerned with developing inference structures, has information neglect as its abstraction objective. Computer science, being primarily concerned with developing interaction patterns, has information hiding as its abstraction objective. We show that abstraction (...)
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  14. Abstract Expressionism and the Communication Problem.David Liggins - 2014 - British Journal for the Philosophy of Science 65 (3):599-620.
    Some philosophers have recently suggested that the reason mathematics is useful in science is that it expands our expressive capacities. Of these philosophers, only Stephen Yablo has put forward a detailed account of how mathematics brings this advantage. In this article, I set out Yablo’s view and argue that it is implausible. Then, I introduce a simpler account and show it is a serious rival to Yablo’s. 1 Introduction2 Yablo’s Expressionism3 Psychological Objections to Yablo’s Expressionism4 Introducing Belief Expressionism5 Objections and (...)
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  15.  77
    Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
    Neologicists have sought to ground mathematical knowledge in abstraction. One especially obstinate problem for this account is the bad company problem. The leading neologicist strategy for resolving this problem is to attempt to sift the good abstraction principles from the bad. This response faces a dilemma: the system of ‘good’ abstraction principles either falls foul of the Scylla of inconsistency or the Charybdis of being unable to recover a modest portion of Zermelo–Fraenkel set theory with its intended (...)
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  16. Abstraction and the Organization of Mechanisms.Arnon Levy & William Bechtel - 2013 - Philosophy of Science 80 (2):241-261.
  17.  54
    Explanatory Abstraction and the Goldilocks Problem: Interventionism Gets Things Just Right.Thomas Blanchard - 2020 - British Journal for the Philosophy of Science 71 (2):633-663.
    Theories of explanation need to account for a puzzling feature of our explanatory practices: the fact that we prefer explanations that are relatively abstract but only moderately so. Contra Franklin-Hall ([2016]), I argue that the interventionist account of explanation provides a natural and elegant explanation of this fact. By striking the right balance between specificity and generality, moderately abstract explanations optimally subserve what interventionists regard as the goal of explanation, namely identifying possible interventions that would have changed the explanandum.
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  18.  38
    Abstract Concepts, Compositionality, and the Contextualism-Invariantism Debate.Guido Löhr - 2017 - Philosophical Psychology 30 (6):689-710.
    Invariantists argue that the notion of concept in psychology should be reserved for knowledge that is retrieved in a context-insensitive manner. Contextualists argue that concepts are to be understood in terms of context-sensitive ad hoc constructions. I review the central empirical evidence for and against both views and show that their conclusions are based on a common mischaracterization of both theories. When the difference between contextualism and invariantism is properly understood, it becomes apparent that the way the question of stability (...)
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  19. Abstract Rationality in Education: From Vygotsky to Brandom.Jan Derry - 2007 - Studies in Philosophy and Education 27 (1):49-62.
    Abstract rationality has increasingly been a target of attack in contemporary educational research and practice and in its place practical reason and situated thinking have become a focus of interest. The argument here is that something is lost in this. In illustrating how we might think about the issue, this paper makes a response to the charge that as a result of his commitment to the ‘Enlightenment project’ Vygotsky holds abstract rationality as the pinnacle of thought. Against this it is (...)
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  20. Abstraction and the Origin of General Ideas.Stephen Laurence & Eric Margolis - 2012 - Philosophers' Imprint 12:1-22.
    Philosophers have often claimed that general ideas or representations have their origin in abstraction, but it remains unclear exactly what abstraction as a psychological process consists in. We argue that the Lockean aspiration of using abstraction to explain the origins of all general representations cannot work and that at least some general representations have to be innate. We then offer an explicit framework for understanding abstraction, one that treats abstraction as a computational process that operates (...)
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  21.  38
    Abstract Argumentation and Explanation Applied to Scientific Debates.Dunja Šešelja & Christian Straßer - 2013 - Synthese 190 (12):2195-2217.
    argumentation has been shown to be a powerful tool within many fields such as artificial intelligence, logic and legal reasoning. In this paper we enhance Dung’s well-known abstract argumentation framework with explanatory capabilities. We show that an explanatory argumentation framework (EAF) obtained in this way is a useful tool for the modeling of scientific debates. On the one hand, EAFs allow for the representation of explanatory and justificatory arguments constituting rivaling scientific views. On the other hand, different procedures for selecting (...)
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  22. The Limits of Abstraction.Kit Fine - 2002 - Oxford University Press.
    Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits ofion breaks new ground both technically and philosophically.
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  23. Abstract Objects, Causal Efficacy, and Causal Exclusion.Tim Juvshik - 2018 - Erkenntnis 83 (4):805-827.
    objects are standardly taken to be causally inert, but this claim is rarely explicitly argued for. In the context of his platonism about musical works, in order for musical works to be audible, Julian Dodd argues that abstracta are causally efficacious in virtue of their concrete tokens participating in events. I attempt to provide a principled argument for the causal inertness of abstracta by first rejecting Dodd’s arguments from events, and then extending and generalizing the causal exclusion argument to the (...)
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  24.  54
    Abstraction and Set Theory.Bob Hale - 2000 - Notre Dame Journal of Formal Logic 41 (4):379--398.
    The neo-Fregean program in the philosophy of mathematics seeks a foundation for a substantial part of mathematics in abstraction principles—for example, Hume’s Principle: The number of Fs D the number of Gs iff the Fs and Gs correspond one-one—which can be regarded as implicitly definitional of fundamental mathematical concepts—for example, cardinal number. This paper considers what kind of abstraction principle might serve as the basis for a neo- Fregean set theory. Following a brief review of the main difficulties (...)
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  25. Abstraction, Idealization and Ideology in Ethics.Onora O'Neill - 1987 - Royal Institute of Philosophy Lectures 22:55-69.
    Although Burke, Bentham, Hegel and Marx do not often agree, all criticized certain ethical theories, in particular theories of rights, for being too abstract . The complaint is still popular. It was common in Existentialist and in Wittgensteinian writing that stressed the importance of cases and examples rather than principles for the moral life; it has been prominent in recent Hegelian and Aristotelian flavoured writing, which stresses the importance of the virtues; it is reiterated in discussions that stress the distinctiveness (...)
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  26. Abstract Objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
  27. Abstract Versus Causal Explanations?Reutlinger Alexander & Andersen Holly - 2016 - International Studies in the Philosophy of Science 30 (2):129-146.
    In the recent literature on causal and non-causal scientific explanations, there is an intuitive assumption according to which an explanation is non-causal by virtue of being abstract. In this context, to be ‘abstract’ means that the explanans in question leaves out many or almost all causal microphysical details of the target system. After motivating this assumption, we argue that the abstractness assumption, in placing the abstract and the causal character of an explanation in tension, is misguided in ways that are (...)
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  28. How Abstract Liberty Relates to Private Property: A One-Page Outline.J. C. Lester - manuscript
    Libertarianism—and classical liberalism generally—presupposes (or entails) a specific, but implicit, conception of liberty. Imagine two lists of property-rights: one list is all those that are libertarian; the other list is all those that are not. What determines into which list a property-right is assigned? If libertarianism is really about liberty, then the determining factor must be whether the property-right fits what liberty is in a more abstract sense. It greatly clarifies matters to have an explicit theory of this presupposed conception (...)
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  29.  34
    Mechanistic Abstraction.Worth Boone & Gualtiero Piccinini - 2016 - Philosophy of Science 83 (5):686-697.
    We provide an explicit taxonomy of legitimate kinds of abstraction within constitutive explanation. We argue that abstraction is an inherent aspect of adequate mechanistic explanation. Mechanistic explanations—even ideally complete ones—typically involve many kinds of abstraction and therefore do not require maximal detail. Some kinds of abstraction play the ontic role of identifying the specific complex components, subsets of causal powers, and organizational relations that produce a suitably general phenomenon. Therefore, abstract constitutive explanations are both legitimate and (...)
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  30. Abstraction and its Limits: Finding Space For Novel Explanation.Eleanor Knox - 2016 - Noûs 50 (1):41-60.
    Several modern accounts of explanation acknowledge the importance of abstraction and idealization for our explanatory practice. However, once we allow a role for abstraction, questions remain. I ask whether the relation between explanations at different theoretical levels should be thought of wholly in terms of abstraction, and argue that changes of the quantities in terms of which we describe a system can lead to novel explanations that are not merely abstractions of some more detailed picture. I use (...)
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  31.  16
    "Schema Abstraction" in a Multiple-Trace Memory Model.Douglas L. Hintzman - 1986 - Psychological Review 93 (4):411-428.
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  32. The Abstract Space and the Alienation of Political Public Space in the Middle East.Farzad Zamani & Asma Mehan - 2019 - Archnet-IJAR: International Journal of Architectural Research 13 (3):483-497.
    Purpose – The purpose of this paper is to explain how abstract space of the State – universally and specifically within the context of Middle Eastern cities – aims to homogenise the city and eliminate any anomaly that threatens its power structure. Design/methodology/approach – Through a historical and discourse analysis of these policies and processes in the two case studies, this paper presents a contextualised reading of Lefebvre’s concept of abstract space and process of abstraction in relation to the (...)
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  33.  39
    Abstract Generationism: A Response to Friedell.Wesley D. Cray - 2017 - Journal of Aesthetics and Art Criticism 75 (3):289-292.
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  34. Algorithms, Abstraction and Implementation.C. Foster - 1990 - Academic Press.
  35. Awareness of Abstract Objects.Elijah Chudnoff - 2013 - Noûs 47 (4):706-726.
    Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware of abstract objects? Second, the Grounding (...)
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  36. Software is an Abstract Artifact.Nurbay Irmak - 2012 - Grazer Philosophische Studien 86 (1):55-72.
    Software is a ubiquitous artifact, yet not much has been done to understand its ontological nature. There are a few accounts offered so far about the nature of software. I argue that none of those accounts give a plausible picture of the nature of software. I draw attention to the striking similarities between software and musical works. These similarities motivate to look more closely on the discussions regarding the nature of the musical works. With the lessons drawn from the ontology (...)
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  37.  22
    Abstract Concepts and Pictures of Real‐World Situations Activate One Another.Ken McRae, Daniel Nedjadrasul, Raymond Pau, Bethany Pui-Hei Lo & Lisa King - 2018 - Topics in Cognitive Science 10 (3):518-532.
    concepts typically are defined in terms of lacking physical or perceptual referents. We argue instead that they are not devoid of perceptual information because knowledge of real-world situations is an important component of learning and using many abstract concepts. Although the relationship between perceptual information and abstract concepts is less straightforward than for concrete concepts, situation-based perceptual knowledge is part of many abstract concepts. In Experiment 1, participants made lexical decisions to abstract words that were preceded by related and unrelated (...)
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  38. Abstract Artifact Theory About Fictional Characters Defended — Why Sainsbury’s Category-Mistake Objection is Mistaken.Zsófia Zvolenszky - 2013 - Proceedings of the European Society for Aesthetics Vol. 5/2013.
    In this paper, I explore a line of argument against one form of realism about fictional characters : abstract artifact theory, the view according to which fictional characters like Harry Potter are part of our reality, but, they are abstract objects created by humans, akin to the institution of marriage and the game of soccer. I will defend artifactualism against an objection that Mark Sainsbury considers decisive against it: the category-mistake objection. The objection has it that artifactualism attributes to people (...)
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  39.  16
    Abstraction Principles and the Classification of Second-Order Equivalence Relations.Sean C. Ebels-Duggan - 2019 - Notre Dame Journal of Formal Logic 60 (1):77-117.
    This article improves two existing theorems of interest to neologicist philosophers of mathematics. The first is a classification theorem due to Fine for equivalence relations between concepts definable in a well-behaved second-order logic. The improved theorem states that if an equivalence relation E is defined without nonlogical vocabulary, then the bicardinal slice of any equivalence class—those equinumerous elements of the equivalence class with equinumerous complements—can have one of only three profiles. The improvements to Fine’s theorem allow for an analysis of (...)
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  40.  61
    Abstraction and Four Kinds of Invariance.Roy T. Cook - 2017 - Philosophia Mathematica 25 (1):3–25.
    Fine and Antonelli introduce two generalizations of permutation invariance — internal invariance and simple/double invariance respectively. After sketching reasons why a solution to the Bad Company problem might require that abstraction principles be invariant in one or both senses, I identify the most fine-grained abstraction principle that is invariant in each sense. Hume’s Principle is the most fine-grained abstraction principle invariant in both senses. I conclude by suggesting that this partially explains the success of Hume’s Principle, and (...)
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  41. Numerical Abstraction Via the Frege Quantifier.G. Aldo Antonelli - 2010 - Notre Dame Journal of Formal Logic 51 (2):161-179.
    This paper presents a formalization of first-order arithmetic characterizing the natural numbers as abstracta of the equinumerosity relation. The formalization turns on the interaction of a nonstandard cardinality quantifier with an abstraction operator assigning objects to predicates. The project draws its philosophical motivation from a nonreductionist conception of logicism, a deflationary view of abstraction, and an approach to formal arithmetic that emphasizes the cardinal properties of the natural numbers over the structural ones.
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  42. Abstract Entities in a Presentist World.Aldo Filomeno - 2016 - Metaphysica 17 (2):177-193.
    How can a metaphysics of abstract entities be built upon a metaphysics of time? In this paper, I address the question of how to accommodate abstract entities in a presentist world. I consider both the traditional metaontological approach of unrestricted fundamental quantification and then ontological pluralism. I argue that under the former we need to impose two constraints in the characterization of presentism in order to avoid undesired commitments to abstract entities: we have to characterize presentism as a thesis only (...)
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  43. Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.
    A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
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  44.  40
    Asymmetry, Abstraction, and Autonomy: Justifying Coarse-Graining in Statistical Mechanics.Katie Robertson - 2020 - British Journal for the Philosophy of Science 71 (2):547-579.
    While the fundamental laws of physics are time-reversal invariant, most macroscopic processes are irreversible. Given that the fundamental laws are taken to underpin all other processes, how can the fundamental time-symmetry be reconciled with the asymmetry manifest elsewhere? In statistical mechanics, progress can be made with this question. What I dub the ‘Zwanzig–Zeh–Wallace framework’ can be used to construct the irreversible equations of SM from the underlying microdynamics. Yet this framework uses coarse-graining, a procedure that has faced much criticism. I (...)
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  45.  20
    Abstraction and Insight: Building Better Conceptual Systems to Support More Effective Social Change.Steven Wallis - 2015 - Foundations of Science 20 (2):189-198.
    When creating theory to understand or implement change at the social and/or organizational level, it is generally accepted that part of the theory building process includes a process of abstraction. While the process of abstraction is well understood, it is not so well understood how abstractions “fit” together to enable the creation of better theory. Starting with a few simple ideas, this paper explores one way we work with abstractions. This exploration challenges the traditionally held importance of abstracting (...)
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  46.  66
    Performing Abstraction: Two Ways of Modelling Arabidopsis Thaliana.Sabina Leonelli - 2008 - Biology and Philosophy 23 (4):509-528.
    What is the best way to analyse abstraction in scientific modelling? I propose to focus on abstracting as an epistemic activity, which is achieved in different ways and for different purposes depending on the actual circumstances of modelling and the features of the models in question. This is in contrast to a more conventional use of the term ‘abstract’ as an attribute of models, which I characterise as black-boxing the ways in which abstraction is performed and to which (...)
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  47. Beyond Abstraction: Marx and the Critique of the Critique of Religion.Alberto Toscano - 2010 - Historical Materialism 18 (1):3-29.
    This article reconsiders Marx’s thinking on religion in light of current preoccupations with the encroachment of religious practices and beliefs into political life. It argues that Marx formulates a critique of the anticlerical and Enlightenment-critique of religion, in which he subsumes the secular repudiation of spiritual authority and religious transcendence into a broader analysis of the ‘real abstractions’ that dominate our social existence. The tools forged by Marx in his engagement with critiques of religious authority allow him to discern the (...)
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  48. Conflating Abstraction with Empirical Observation: The False Mind-Matter Dichotomy.Bernardo Kastrup - 2018 - Constructivist Foundations 13 (3):341-361.
    > Context • The alleged dichotomy between mind and matter is pervasive. Therefore, the attempt to explain mat- ter in terms of mind (idealism) is often considered a mirror image of that of explaining mind in terms of mat- ter (mainstream physicalism), in the sense of being structurally equivalent despite being reversely arranged. > Problem • I argue that this is an error arising from language artifacts, for dichotomies must reside in the same level of abstraction. > Method • (...)
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  49.  42
    An Abstract Algebraic Logic Approach to Tetravalent Modal Logics.Josep Maria Font & Miquel Rius - 2000 - Journal of Symbolic Logic 65 (2):481-518.
    This paper contains a joint study of two sentential logics that combine a many-valued character, namely tetravalence, with a modal character; one of them is normal and the other one quasinormal. The method is to study their algebraic counterparts and their abstract models with the tools of Abstract Algebraic Logic, and particularly with those of Brown and Suszko's theory of abstract logics as recently developed by Font and Jansana in their "A General Algebraic Semantics for Sentential Logics". The logics studied (...)
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  50.  29
    Abstract Objects.John P. Burgess - 1992 - Philosophical Review 101 (2):414.
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