Results for 'Abstraction'

998 found
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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. 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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  3. 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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  4. Assessing Abstract Thought and its Relation to Language with a New Nonverbal Paradigm: Evidence From Aphasia.Peter Langland-Hassan, Frank R. Faries, Maxwell Gatyas, Aimee Dietz & Michael J. Richardson - 2021 - Cognition 211:104622.
    In recent years, language has been shown to play a number of important cognitive roles over and above the communication of thoughts. One hypothesis gaining support is that language facilitates thought about abstract categories, such as democracy or prediction. To test this proposal, a novel set of semantic memory task trials, designed for assessing abstract thought non-linguistically, were normed for levels of abstractness. The trials were rated as more or less abstract to the degree that answering them required the participant (...)
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  5. Abstract Objects and the Core-Periphery Distinction in the Ontological and the Conceptual Domain of Natural Language.Friederike Moltmann - 2020 - In José Luis Falguera & María De La Martínez Vidal (eds.), Abstract Objects: For and Against. Springer. pp. 255-276.
    This paper elaborates distinctions between a core and a periphery in the ontological and the conceptual domain associated with natural language. The ontological core-periphery distinction is essential for natural language ontology and is the basis for the central thesis of my 2013 book Abstract Objects and the Semantics of Natural Language, namely that natural language permits reference to abstract objects in its periphery, but not its core.
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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. Abstracta and Abstraction in Trope Theory.A. R. J. Fisher - 2020 - 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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  19. Abstraction and Individuation in Whitehead and Wiehl: A Comparative Historical Approach.Anderson Weekes - 2006 - In Michel Weber Pierfrancesco Basile (ed.), Subjectivity, Process, and Rationality. Frankfort: Ontos Verlag. pp. 31-119.
    This paper looks at the history of the problem of individuation from Plato to Whitehead. Part I takes as its point of departure Reiner Wiehl’s interpretation of the different meanings of “abstract” in the metaphysics of Alfred North Whitehead and arrives at a corresponding taxonomy of different ways things can be called concrete. Part II compares the way philosophers in different periods understand the relation between thought and intuition. The view mostly associated with ancient philosophy is that thought and sense-perception (...)
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  20. 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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  21. 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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  22. Prisoners of Abstraction? The Theory and Measure of Genetic Variation, and the Very Concept of 'Race'.Jonathan Michael Kaplan & Rasmus Grønfeldt Winther - 2013 - Biological Theory 7 (1):401-412.
    It is illegitimate to read any ontology about "race" off of biological theory or data. Indeed, the technical meaning of "genetic variation" is fluid, and there is no single theoretical agreed-upon criterion for defining and distinguishing populations (or groups or clusters) given a particular set of genetic variation data. Thus, by analyzing three formal senses of "genetic variation"—diversity, differentiation, and heterozygosity—we argue that the use of biological theory for making epistemic claims about "race" can only seem plausible when it relies (...)
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  23. Three Symbol Ungrounding Problems: Abstract Concepts and the Future of Embodied Cognition.Guy Dove - 2016 - Psychonomic Bulletin and Review 4 (23):1109-1121.
    A great deal of research has focused on the question of whether or not concepts are embodied as a rule. Supporters of embodiment have pointed to studies that implicate affective and sensorimotor systems in cognitive tasks, while critics of embodiment have offered nonembodied explanations of these results and pointed to studies that implicate amodal systems. Abstract concepts have tended to be viewed as an important test case in this polemical debate. This essay argues that we need to move beyond a (...)
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  24. Idealizing, Abstracting, and Semantic Dispositionalism.Adam C. Podlaskowski & Nicholaos J. Jones - 2012 - European Journal of Philosophy 20 (1):166-178.
    Abstract: According to certain dispositional accounts of meaning, an agent's meaning is determined by the dispositions that an idealized version of this agent has in optimal conditions. We argue that such attempts cannot properly fix meaning. For even if there is a way to determine which features of an agent should be idealized without appealing to what the agent means, there is no non-circular way to determine how those features should be idealized. We sketch an alternative dispositional account that avoids (...)
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  25.  83
    Abstract Artifacts in Pretence.Sarah Sawyer - 2002 - Philosophical Papers 31 (2):183-198.
    Abstract In this paper I criticise a recent account of fictional discourse proposed by Nathan Salmon. Salmon invokes abstract artifacts as the referents of fictional names in both object- and meta-fictional discourse alike. He then invokes a theory of pretence to forge the requisite connection between object-fictional sentences and meta-fictional sentences, in virtue of which the latter can be assigned appropriate truth-values. I argue that Salmon's account of pretence renders his appeal to abstract artifacts as the referents of fictional names (...)
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  26. Abstract Objects? Who Cares!Graham Oppy - 2014 - London UK: Bloomsbury Academic.
    This is my main contribution to P. Gould (ed.) Beyond the Control of God?: Six Views on the Problem of God and Abstract Objects Bloomsbury. (The other contibutors to this work are: Keith Yandell; Paul Gould and Rich Davis; Greg Welty; William Lane Craig; and Scott Shalkowski.) I argue that, when it comes to a comparative assessment of the merits of theism and atheism, it makes no difference whether one opts for realism or fictionalism concerning abstract objects.
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  27. Explaining the Abstract/Concrete Paradoxes in Moral Psychology: The NBAR Hypothesis.Eric Mandelbaum & David Ripley - 2012 - Review of Philosophy and Psychology 3 (3):351-368.
    For some reason, participants hold agents more responsible for their actions when a situation is described concretely than when the situation is described abstractly. We present examples of this phenomenon, and survey some attempts to explain it. We divide these attempts into two classes: affective theories and cognitive theories. After criticizing both types of theories we advance our novel hypothesis: that people believe that whenever a norm is violated, someone is responsible for it. This belief, along with the familiar workings (...)
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  28.  71
    On the Varieties of Abstract Objects.James E. Davies - 2019 - Australasian Journal of Philosophy 97 (4):809-823.
    I reconcile the spatiotemporal location of repeatable artworks and impure sets with the non-location of natural numbers despite all three being varieties of abstract objects. This is possible because, while the identity conditions for all three can be given by abstraction principles, in the former two cases spatiotemporal location is a congruence for the equivalence relation featuring in the relevant principle, whereas in the latter it is not. I then generalize this to other ‘physical’ properties like shape, mass, and (...)
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  29. Mathematical Abstraction, Conceptual Variation and Identity.Jean-Pierre Marquis - 2014 - In Peter Schroeder-Heister, Gerhard Heinzmann, Wilfred Hodges & Pierre Edouard Bour (eds.), Logic, Methodology and Philosophy of Science, Proceedings of the 14th International Congress. London, UK: pp. 299-322.
    One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.
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  30. Relativity and the Causal Efficacy of Abstract Objects.Tim Juvshik - 2020 - American Philosophical Quarterly 57 (3).
    Abstract objects are standardly taken to be causally inert, however principled arguments for this claim are rarely given. As a result, a number of recent authors have claimed that abstract objects are causally efficacious. These authors take abstracta to be temporally located in order to enter into causal relations but lack a spatial location. In this paper, I argue that such a position is untenable by showing first that causation requires its relata to have a temporal location, but second, that (...)
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  31. Drift and “Statistically Abstractive Explanation”.Mohan Matthen - 2009 - Philosophy of Science 76 (4):464-487.
    A hitherto neglected form of explanation is explored, especially its role in population genetics. “Statistically abstractive explanation” (SA explanation) mandates the suppression of factors probabilistically relevant to an explanandum when these factors are extraneous to the theoretical project being pursued. When these factors are suppressed, the explanandum is rendered uncertain. But this uncertainty traces to the theoretically constrained character of SA explanation, not to any real indeterminacy. Random genetic drift is an artifact of such uncertainty, and it is therefore wrong (...)
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  32. The Explanatory Virtue of Abstracting Away From Idiosyncratic and Messy Detail.Christopher Clarke - 2016 - Philosophical Studies 173 (6):1429-1449.
    Some explanations are relatively abstract: they abstract away from the idiosyncratic or messy details of the case in hand. The received wisdom in philosophy is that this is a virtue for any explanation to possess. I argue that the apparent consensus on this point is illusory. When philosophers make this claim, they differ on which of four alternative varieties of abstractness they have in mind. What’s more, for each variety of abstractness there are several alternative reasons to think that the (...)
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  33. 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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  34. 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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  35. Knowledge of Abstract Objects in Physics and Mathematics.Michael Shaffer - 2017 - Acta Analytica 32 (4):397-409.
    In this paper a parallel is drawn between the problem of epistemic access to abstract objects in mathematics and the problem of epistemic access to idealized systems in the physical sciences. On this basis it is argued that some recent and more traditional approaches to solving these problems are problematic.
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  36. Updating the “Abstract–Concrete” Distinction in Ancient Near Eastern Numbers.Karenleigh Overmann - 2018 - Cuneiform Digital Library Journal 1:1–22.
    The characterization of early token-based accounting using a concrete concept of number, later numerical notations an abstract one, has become well entrenched in the literature. After reviewing its history and assumptions, this article challenges the abstract–concrete distinction, presenting an alternative view of change in Ancient Near Eastern number concepts, wherein numbers are abstract from their inception and materially bound when most elaborated. The alternative draws on the chronological sequence of material counting technologies used in the Ancient Near East—fingers, tallies, tokens, (...)
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  37. The Vagueness Argument Against Abstract Artifacts.Daniel Z. Korman - 2014 - Philosophical Studies 167 (1):57-71.
    Words, languages, symphonies, fictional characters, games, and recipes are plausibly abstract artifacts— entities that have no spatial location and that are deliberately brought into existence as a result of creative acts. Many accept that composition is unrestricted: for every plurality of material objects, there is a material object that is the sum of those objects. These two views may seem entirely unrelated. I will argue that the most influential argument against restricted composition—the vagueness argument—doubles as an argument that there can (...)
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  38. 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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  39. The Abstractness of Artworks and Its Implications for Aesthetics.John Dilworth - 2008 - Journal of Aesthetics and Art Criticism 66 (4):341-353.
    Artworks have at least some necessary content properties, as do abstract entities such as propositions. But no concrete item, whether an object, event, process etc., could have any necessary content property. So no artwork could be identical with a concrete item. Hence artworks must be abstract. I also argue that artworks are only contingently connected with concrete items, just as propositions are only contingently linked to their linguistic tokens.
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  40. Can Emotions Have Abstract Objects? The Example of Awe.Fredericks Rachel - 2018 - Philosophia 46 (3):733-746.
    Can we feel emotions about abstract objects, assuming that abstract objects exist? I argue that at least some emotions can have abstract objects as their intentional objects and discuss why this conclusion is not just trivially true. Through critical engagement with the work of Dacher Keltner and Jonathan Haidt, I devote special attention to awe, an emotion that is particularly well suited to show that some emotions can be about either concrete or abstract objects. In responding to a possible objection, (...)
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  41. The Metaphysics of Abstract Particulars.Keith Campbell - 1997 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
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  42. Is All Abstracting Idealizing?Nicholaos Jones - 2008 - The Reasoner 2 (4):4-5.
    I defend a distinction between abstraction and idealization. Idealizations distort; abstractions do not.
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  43.  99
    Levels of Abstraction and the Turing Test.Luciano Floridi - 2010 - Kybernetes 39 (3):423-440.
    An important lesson that philosophy can learn from the Turing Test and computer science more generally concerns the careful use of the method of Levels of Abstraction (LoA). In this paper, the method is first briefly summarised. The constituents of the method are “observables”, collected together and moderated by predicates restraining their “behaviour”. The resulting collection of sets of observables is called a “gradient of abstractions” and it formalises the minimum consistency conditions that the chosen abstractions must satisfy. Two (...)
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  44.  70
    Abstract: Cognitive Risk Bias and the Threat to the Semantics of Knowledge Ascriptions.Igal Kvart - manuscript
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  45. Platonizing the Abstract Self.Mark Sharlow - manuscript
    In this note I examine the two main differences between Plato's and Dennett's views of the self as an abstract object. I point out that in the presence of certain forms of ontological realism, abstract-object theories of the self are compatible with the full reality of the self. I conclude with some remarks on the relationship between ontology and ethics.
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  46. The Problem of Creation and Abstract Artifacts.Nurbay Irmak - 2021 - Synthese 198 (10):9695-9708.
    Abstract artifacts such as musical works and fictional entities are human creations; they are intentional products of our actions and activities. One line of argument against abstract artifacts is that abstract objects are not the kind of objects that can be created. This is so, it is argued, because abstract objects are causally inert. Since creation requires being caused to exist, abstract objects cannot be created. One common way to refute this argument is to reject the causal inefficacy of abstracta. (...)
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  47.  22
    Stumpf on Abstraction.Guillaume Fréchette - 2015 - In D. Fisette & R. Martinelli (eds.), Philosophy from an Empirical Standpoint: Essays on Carl Stumpf. Brill. pp. 263-292.
    From the point of view of Husserl's critique of empiricist theories of abstraction in the Logical Investigations, it seems that Brentano and most of his students would have endorsed the presupposition of Locke's theory of abstraction, which Husserl labels as the 'psychological hypostatization of the general'. For Husserl himself, but also for most of his followers, the motivation behind this critique is that the descriptive psychology of the school of Brentano leads to psychologism if one doesn't accept Platonic (...)
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  48. 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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  49. Stairway to Heaven: The Abstract Method and Levels of Abstraction in Mathematics.Jean Pierre Marquis & Jean-Pierre Marquis - 2016 - The Mathematical Intelligencer 38 (3):41-51.
    In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I first try to clarify the basic components of the abstract method as it developed in the first quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the final section, I briefly explore some of main philosophical consequences of the theory.
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  50. 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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