Results for 'Abstraction'

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  1. James and Dewey on Abstraction. Winther - 2014 - The Pluralist 9 (2):1.
    Reification is to abstraction as disease is to health. Whereas abstraction is singling out, symbolizing, and systematizing, reification is neglecting abstractive context, especially functional, historical, and analytical-level context. William James and John Dewey provide similar and nuanced arguments regarding the perils and promises of abstraction. They share an abstraction-reification account. The stages of abstraction and the concepts of “vicious abstractionism,” “/the/ psychologist’s fallacy,” and “the philosophic fallacy” in the works of these pragmatists are here analyzed (...)
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  2. 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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  3. The Method of Levels of Abstraction.Luciano Floridi - 2008 - Minds and Machines 18 (3):303-329.
    The use of “levels of abstraction” in philosophical analysis (levelism) has recently come under attack. In this paper, I argue that a refined version of epistemological levelism should be retained as a fundamental method, called the method of levels of abstraction. After a brief introduction, in section “Some Definitions and Preliminary Examples” the nature and applicability of the epistemological method of levels of abstraction is clarified. In section “A Classic Application of the Method ofion”, the philosophical fruitfulness (...)
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  4. 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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  5. Two Types of Abstraction for Structuralism.Øystein Linnebo & Richard Pettigrew - 2014 - Philosophical Quarterly 64 (255):267-283.
    If numbers were identified with any of their standard set-theoretic realizations, then they would have various non-arithmetical properties that mathematicians are reluctant to ascribe to them. Dedekind and later structuralists conclude that we should refrain from ascribing to numbers such ‘foreign’ properties. We first rehearse why it is hard to provide an acceptable formulation of this conclusion. Then we investigate some forms of abstraction meant to purge mathematical objects of all ‘foreign’ properties. One form is inspired by Frege; the (...)
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  6.  63
    Cardinality and Acceptable Abstraction.Roy T. Cook & Øystein Linnebo - 2018 - Notre Dame Journal of Formal Logic 59 (1):61-74.
    It is widely thought that the acceptability of an abstraction principle is a feature of the cardinalities at which it is satisfiable. This view is called into question by a recent observation by Richard Heck. We show that a fix proposed by Heck fails but we analyze the interesting idea on which it is based, namely that an acceptable abstraction has to “generate” the objects that it requires. We also correct and complete the classification of proposed criteria for (...)
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  7.  66
    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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  8. Some Criteria for Acceptable Abstraction.Øystein Linnebo - 2011 - Notre Dame Journal of Formal Logic 52 (3):331-338.
    Which abstraction principles are acceptable? A variety of criteria have been proposed, in particular irenicity, stability, conservativeness, and unboundedness. This note charts their logical relations. This answers some open questions and corrects some old answers.
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  9. 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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  10. 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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  11.  80
    Abstracta and Abstraction in Trope Theory.A. R. J. Fisher - 2019 - Philosophical Papers 49 (1):41-67.
    Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept of (...)
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  12.  97
    Relative Categoricity and Abstraction Principles.Sean Walsh & Sean Ebels-Duggan - 2015 - Review of Symbolic Logic 8 (3):572-606.
    Many recent writers in the philosophy of mathematics have put great weight on the relative categoricity of the traditional axiomatizations of our foundational theories of arithmetic and set theory. Another great enterprise in contemporary philosophy of mathematics has been Wright's and Hale's project of founding mathematics on abstraction principles. In earlier work, it was noted that one traditional abstraction principle, namely Hume's Principle, had a certain relative categoricity property, which here we term natural relative categoricity. In this paper, (...)
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  13.  47
    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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  14.  95
    Strategies of Abstraction.Richard Levins - 2006 - Biology and Philosophy 21 (5):741-755.
    Abstraction is seen as an active process which both enlightens and obscures. Abstractions are not true or false but relatively enlightening or obscuring according to the problem under study; different abstractions may grasp different aspects of a problem. Abstractions may be useless if they can answer questions only about themselves. A theoretical enterprise explores reality through acluster of abstractions that use different perspectives, temporal and horizontal scales, and assumes different givens.
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  15.  65
    The Process of Abstraction in the Creation of Meanings.Jesús Gerardo Martínez del Castillo - 2015 - International Journal of Language and Linguistics 3 (6-1):11-23.
    Linguistics of Saying is to be analyzed in the speech act conceived as an act of knowing. The speaking, saying and knowing subject, based on contexts and the principles of congruency and trust in the speech of other speakers, will create meanings and interpret the sense of utterances supplying the deficiencies of language by means of the intellective operations mentally executed in the act of speech. In the intellective operations you can see three steps or processes: first the starting point, (...)
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  16.  77
    The Explanatory Role of Abstraction Processes in Models: The Case of Aggregations.Sergio A. Gallegos - 2016 - Studies in History and Philosophy of Science Part A 56:161-167.
    Though it is held that some models in science have explanatory value, there is no conclusive agreement on what provides them with this value. One common view is that models have explanatory value vis-à-vis some target systems because they are developed using an abstraction process. Though I think this is correct, I believe it is not the whole picture. In this paper, I argue that, in addition to the well-known process of abstraction understood as an omission of features (...)
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  17. Reconstructing Aquinas's Process of Abstraction.Liran Shia Gordon - 2018 - Heythrop Journal 59 (4):639-652.
    Aquinas’s process of abstraction of the particular thing into a universal concept is of pivotal importance for grounding his philosophy and theology in a natural framework. Much has been said and written regarding Aquinas’s doctrine of abstraction, yet recent studies still consider it to be ‘nothing more than a kind of magic.’ This problematic claim is not without foundation, for in trying to understand exactly how this process works, we are constantly faced with an unbridgeable abyss and the (...)
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  18.  16
    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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  19. Composition as Abstraction.Jeffrey Sanford Russell - 2017 - Journal of Philosophy 114 (9):453-470.
    The existence of mereological sums can be derived from an abstraction principle in a way analogous to numbers. I draw lessons for the thesis that “composition is innocent” from neo-Fregeanism in the philosophy of mathematics.
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  20.  99
    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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  21.  12
    St. Thomas and Modern Natural Science: Reconsidering Abstraction From Matter.John G. Brungardt - 2018 - In Carlos A. Casanova & Ignacio Serrano del Pozo (eds.), Cognoscens in Actu Est Ipsum Cognitum in Actu: Sobre Los Tipos y Grados de Conocimiento,. Santiago, Santiago Metropolitan Region, Chile: pp. 433–471.
    The realism grounding St. Thomas Aquinas’s pre-modern natural science defends the reception of similitudes of the forms of things known by abstraction. Modern natural science challenges this abstractio- nist account by recasting «form» in the leading role of principle of intelligibility—instead of forms, modern science discovers laws. Thomistic realism is prima facie incompatible with this account. Following Charles De Koninck, this essay outlines a rapprochement between the epistemology of pre-modern, Thomistic natural science and its modern successor. I argue that (...)
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  22.  57
    Abstraction and Idealization in the Formal Verification of Software Systems.Nicola Angius - 2013 - Minds and Machines 23 (2):211-226.
    Questions concerning the epistemological status of computer science are, in this paper, answered from the point of view of the formal verification framework. State space reduction techniques adopted to simplify computational models in model checking are analysed in terms of Aristotelian abstractions and Galilean idealizations characterizing the inquiry of empirical systems. Methodological considerations drawn here are employed to argue in favour of the scientific understanding of computer science as a discipline. Specifically, reduced models gained by Dataion are acknowledged as Aristotelian (...)
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  23. Term Models for Abstraction Principles.Leon Horsten & Øystein Linnebo - 2016 - Journal of Philosophical Logic 45 (1):1-23.
    Kripke’s notion of groundedness plays a central role in many responses to the semantic paradoxes. Can the notion of groundedness be brought to bear on the paradoxes that arise in connection with abstraction principles? We explore a version of grounded abstraction whereby term models are built up in a ‘grounded’ manner. The results are mixed. Our method solves a problem concerning circularity and yields a ‘grounded’ model for the predicative theory based on Frege’s Basic Law V. However, the (...)
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  24.  31
    Points as Higher-Order Constructs: Whitehead’s Method of Extensive Abstraction.Achille C. Varzi - forthcoming - In Stewart Shapiro & Geoffrey Hellman (eds.), The Continuous. Oxford: Oxford University Press.
    Euclid’s definition of a point as “that which has no part” has been a major source of controversy in relation to the epistemological and ontological presuppositions of classical geometry, from the medieval and modern disputes on indivisibilism to the full development of point-free geometries in the 20th century. Such theories stem from the general idea that all talk of points as putative lower-dimensional entities must and can be recovered in terms of suitable higher-order constructs involving only extended regions (or bodies). (...)
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  25. A Theory of Scientific Model Construction: The Conceptual Process of Abstraction and Concretisation. [REVIEW]Demetris P. Portides - 2005 - Foundations of Science 10 (1):67-88.
    The process of abstraction and concretisation is a label used for an explicative theory of scientific model-construction. In scientific theorising this process enters at various levels. We could identify two principal levels of abstraction that are useful to our understanding of theory-application. The first level is that of selecting a small number of variables and parameters abstracted from the universe of discourse and used to characterise the general laws of a theory. In classical mechanics, for example, we select (...)
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  26.  49
    Abstraction and Insight: Building Better Conceptual Systems to Support More Effective Social Change.Steven E. Wallis - 2014 - Foundations of Science 19 (4):353-362.
    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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  27.  50
    On Floridi’s Method of Levels of Abstraction.Jan van Leeuwen - 2014 - Minds and Machines 24 (1):5-17.
    ion is arguably one of the most important methods in modern science in analysing and understanding complex phenomena. In his book The Philosophy of Information, Floridi (The philosophy of information. Oxford University Press, Oxford, 2011) presents the method of levels of abstraction as the main method of the Philosophy of Information. His discussion of abstraction as a method seems inspired by the formal methods and frameworks of computer science, in which abstraction is operationalised extensively in programming languages (...)
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  28.  27
    Explaining Engineered Computing Systems’ Behaviour: The Role of Abstraction and Idealization.Nicola Angius & Guglielmo Tamburrini - 2017 - Philosophy and Technology 30 (2):239-258.
    This paper addresses the methodological problem of analysing what it is to explain observed behaviours of engineered computing systems, focusing on the crucial role that abstraction and idealization play in explanations of both correct and incorrect BECS. First, it is argued that an understanding of explanatory requests about observed miscomputations crucially involves reference to the rich background afforded by hierarchies of functional specifications. Second, many explanations concerning incorrect BECS are found to abstract away from descriptions of physical components and (...)
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  29.  45
    Maternal-Fetal Surgery: The Fallacy of Abstraction and the Problem of Equipoise. [REVIEW]Anne Drapkin Lyerly & Mary Briody Mahowald - 2001 - Health Care Analysis 9 (2):151-165.
    When surgery is performed on pregnant women forthe sake of the fetus (MFS or maternal fetalsurgery), it is often discussed in terms of thefetus alone. This usage exemplifies whatphilosophers call the fallacy of abstraction: considering a concept as if it were separablefrom another concept whose meaning isessentially related to it. In light of theirpotential separability, research on pregnantwomen raises the possibility of conflictsbetween the interests of the woman and those ofthe fetus. Such research should meet therequirement of equipoise, i.e., (...)
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  30. The Kantian Capacity for Moral Self-Control: Abstraction at Two Levels.Marijana Vujoševiċ - 2020 - Archiv für Geschichte der Philosophie 102 (1):102-130.
    As a rule, the Kantian capacity for self-control is interpreted as a kind of tool for compelling ourselves to act on the basis of the maxims we have adopted. To the extent that we merely acknowledge its role in following already-adopted maxims, however, we fail to capture the distinctive aspect of moral self-control identified by Kant. In this paper, I propose a fuller account of the Kantian capacity for moral self-control; I do so mainly by analyzing this capacity as our (...)
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  31.  50
    The Strength of Abstraction with Predicative Comprehension.Sean Walsh - 2016 - Bulletin of Symbolic Logic 22 (1):105–120.
    Frege's theorem says that second-order Peano arithmetic is interpretable in Hume's Principle and full impredicative comprehension. Hume's Principle is one example of an abstraction principle, while another paradigmatic example is Basic Law V from Frege's Grundgesetze. In this paper we study the strength of abstraction principles in the presence of predicative restrictions on the comprehension schema, and in particular we study a predicative Fregean theory which contains all the abstraction principles whose underlying equivalence relations can be proven (...)
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  32. Sohn-Rethel and the Origin of 'Real Abstraction': A Critique of Production or a Critique of Circulation?Anselm Jappe - 2013 - Historical Materialism 21 (1):3-14.
    Alfred Sohn-Rethel did not just elaborate a materialist theory of knowledge, he also introduced the term ‘real abstraction’ into Marxist debate. However, he locates the origin of commodity abstraction solely in the sphere of circulation, conceiving of production itself as a mere metabolism with nature. This conception, in which the critique of capitalism aims exclusively at distribution, and which rejects the Marxian concept of ‘abstract labour’, remains widespread. It is our express intention here to undertake a critique of (...)
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  33. Abstraction Relations Need Not Be Reflexive.Jonathan Payne - 2013 - Thought: A Journal of Philosophy 2 (2):137-147.
    Neo-Fregeans such as Bob Hale and Crispin Wright seek a foundation of mathematics based on abstraction principles. These are sentences involving a relation called the abstraction relation. It is usually assumed that abstraction relations must be equivalence relations, so reflexive, symmetric and transitive. In this article I argue that abstraction relations need not be reflexive. I furthermore give an application of non-reflexive abstraction relations to restricted abstraction principles.
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  34.  53
    Abstraction in Algorithmic Logic.Wayne Aitken & Jeffrey A. Barrett - 2008 - Journal of Philosophical Logic 37 (1):23-43.
    We develop a functional abstraction principle for the type-free algorithmic logic introduced in our earlier work. Our approach is based on the standard combinators but is supplemented by the novel use of evaluation trees. Then we show that the abstraction principle leads to a Curry fixed point, a statement C that asserts C ⇒ A where A is any given statement. When A is false, such a C yields a paradoxical situation. As discussed in our earlier work, this (...)
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  35. Reasoning About Data and Information: Abstraction Between States and Commodities.Patrick Allo - 2009 - Synthese 167 (2):231-249.
    Cognitive states as well as cognitive commodities play central though distinct roles in our epistemological theories. By being attentive to how a difference in their roles affects our way of referring to them, we can undoubtedly accrue our understanding of the structure and functioning of our main epistemological theories. In this paper we propose an analysis of the dichotomy between states and commodities in terms of the method of abstraction, and more specifically by means of infomorphisms between different ways (...)
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  36.  87
    Abstraction, Law, and Freedom in Computer Science.Timothy Colburn & Gary Shute - 2010 - Metaphilosophy 41 (3):345-364.
    Abstract: Laws of computer science are prescriptive in nature but can have descriptive analogs in the physical sciences. Here, we describe a law of conservation of information in network programming, and various laws of computational motion (invariants) for programming in general, along with their pedagogical utility. Invariants specify constraints on objects in abstract computational worlds, so we describe language and data abstraction employed by software developers and compare them to Floridi's concept of levels of abstraction. We also consider (...)
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  37. Higher‐Order Abstraction Principles.Beau Madison Mount - 2015 - Thought: A Journal of Philosophy 4 (4):228-236.
    I extend theorems due to Roy Cook on third- and higher-order versions of abstraction principles and discuss the philosophical importance of results of this type. Cook demonstrated that the satisfiability of certain higher-order analogues of Hume's Principle is independent of ZFC. I show that similar analogues of Boolos's new v and Cook's own ordinal abstraction principle soap are not satisfiable at all. I argue, however, that these results do not tell significantly against the second-order versions of these principles.
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  38. Abstraction in Fitch's Basic Logic.Eric Thomas Updike - 2012 - History and Philosophy of Logic 33 (3):215-243.
    Fitch's basic logic is an untyped illative combinatory logic with unrestricted principles of abstraction effecting a type collapse between properties (or concepts) and individual elements of an abstract syntax. Fitch does not work axiomatically and the abstraction operation is not a primitive feature of the inductive clauses defining the logic. Fitch's proof that basic logic has unlimited abstraction is not clear and his proof contains a number of errors that have so far gone undetected. This paper corrects (...)
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  39.  94
    Scientific Understanding and Mathematical Abstraction.Margaret Catherine Morrison - 2006 - Philosophia 34 (3):337-353.
    This paper argues for two related theses. The first is that mathematical abstraction can play an important role in shaping the way we think about and hence understand certain phenomena, an enterprise that extends well beyond simply representing those phenomena for the purpose of calculating/predicting their behaviour. The second is that much of our contemporary understanding and interpretation of natural selection has resulted from the way it has been described in the context of statistics and mathematics. I argue for (...)
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  40.  40
    The Evolutionary Relevance of Abstraction and Representation.Andrew M. Winters - 2014 - Biosemiotics 7 (1):125-139.
    This paper investigates the roles that abstraction and representation have in activities associated with language. Activities such as associative learning and counting require both the abilities to abstract from and accurately represent the environment. These activities are successfully carried out among vocal learners aside from humans, thereby suggesting that nonhuman animals share something like our capacity for abstraction and representation. The identification of these capabilities in other species provides additional insights into the development of language.
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  41.  37
    Introduction to Special Issue: Abstraction Principles.Salvatore Florio - 2017 - Philosophia Mathematica 25 (1):1-2.
    Introduction to a special issue on abstraction principles.
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  42.  92
    Predicate Abstraction, the Limits of Quantification, and the Modality of Existence.Philip Percival - 2011 - Philosophical Studies 156 (3):389-416.
    For various reasons several authors have enriched classical first order syntax by adding a predicate abstraction operator. “Conservatives” have done so without disturbing the syntax of the formal quantifiers but “revisionists” have argued that predicate abstraction motivates the universal quantifier’s re-classification from an expression that combines with a variable to yield a sentence from a sentence, to an expression that combines with a one-place predicate to yield a sentence. My main aim is to advance the cause of predicate (...)
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  43.  61
    The Link Between Berkeley’s Refutation of Abstraction and His Refutation of Materialism.Michael Anthony Istvan - 2011 - Methodus 6:78-105.
    This paper engages the controversy as to whether there is a link between Berkeley’s refutation of abstraction and his refutation of materialism. I argue that there is a strong link. In the opening paragraph I show that materialism being true requires and is required by the possibility of abstraction, and that the obviousness of this fact suggests that the real controversy is whether there is a link between Berkeley’s refutation of materialism and his refutation of the possibility of (...)
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  44.  58
    A Goal-Dependent Abstraction for Legal Reasoning by Analogy.Tokuyasu Kakuta, Makoto Haraguchi & Yoshiaki Okubo - 1997 - Artificial Intelligence and Law 5 (1-2):97-118.
    This paper presents a new algorithm to find an appropriate similarityunder which we apply legal rules analogically. Since there may exist a lotof similarities between the premises of rule and a case in inquiry, we haveto select an appropriate similarity that is relevant to both thelegal rule and a top goal of our legal reasoning. For this purpose, a newcriterion to distinguish the appropriate similarities from the others isproposed and tested. The criterion is based on Goal-DependentAbstraction (GDA) to select a (...)
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  45.  9
    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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  46.  47
    Birth of an Abstraction: A Dynamical Systems Account of the Discovery of an Elsewhere Principle in a Category Learning Task.Whitney Tabor, Pyeong W. Cho & Harry Dankowicz - 2013 - Cognitive Science 37 (7):1193-1227.
    Human participants and recurrent (“connectionist”) neural networks were both trained on a categorization system abstractly similar to natural language systems involving irregular (“strong”) classes and a default class. Both the humans and the networks exhibited staged learning and a generalization pattern reminiscent of the Elsewhere Condition (Kiparsky, 1973). Previous connectionist accounts of related phenomena have often been vague about the nature of the networks’ encoding systems. We analyzed our network using dynamical systems theory, revealing topological and geometric properties that can (...)
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  47.  30
    Some Aspects of the Theory of Abstraction in Plotinus and Iamblichus.Claudia Maggi - 2015 - International Journal of the Platonic Tradition 9 (2):159-176.
    _ Source: _Volume 9, Issue 2, pp 159 - 176 The purpose of this paper is the analysis of the Plotinian and Iamblichean reading of the Aristotelian theory of abstraction, and its relationship with the status of mathematical entities, as they were conceived within a Platonic model, according to which mathematical objects are ontological autonomous and separate.
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  48.  39
    Husserl’s Break From Brentano Reconsidered: Abstraction and the Structure of Consciousness.Andreea Smaranda Aldea - 2014 - Axiomathes 24 (3):395-426.
    The paper contends that abstraction lies at the core of the philosophical and methodological rupture that occurred between Husserl and his mentor Franz Brentano. To accomplish this, it explores the notion of abstraction at work in these two thinkers’ methodological discussions through their respective claims regarding the structure of consciousness, and shows that how Husserl and Brentano analyze the structure of consciousness conditions and strictly delineates the nature and reach of their methods of inquiry. The paper pays close (...)
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  49. Justifying Idealization by Abstraction.Sebastian Lutz - manuscript
    I show how omissions lead to robustness and can justify distortions, and I give inferentially relevant explications of abstraction and idealization. Abstraction is explicated as the omission of all and only those claims that use a specific vocabulary; idealization is explicated as the distortion of only those claims that use a specific vocabulary. With these explications, abstraction can justify idealization. As examples of how abstraction justifies idealization and leads to robustness, I discuss Beauchamp and Childress's four (...)
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  50. The Proximate–Ultimate Distinction and Evolutionary Developmental Biology: Causal Irrelevance Versus Explanatory Abstraction.Massimo Pigliucci & Raphael Scholl - 2015 - Biology and Philosophy 30 (5):653-670.
    Mayr’s proximate–ultimate distinction has received renewed interest in recent years. Here we discuss its role in arguments about the relevance of developmental to evolutionary biology. We show that two recent critiques of the proximate–ultimate distinction fail to explain why developmental processes in particular should be of interest to evolutionary biologists. We trace these failures to a common problem: both critiques take the proximate–ultimate distinction to neglect specific causal interactions in nature. We argue that this is implausible, and that the distinction (...)
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