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Parts and Moments. Studies in Logic and Formal Ontology

(ed.)
Philosophia Verlag (1982)

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  1. Rota's Philosophy in its Mathematical Context.Sébastien Gandon - 2016 - Philosophia Mathematica 24 (2):145-184.
    The goal of this paper is to connect Rota's discussion of the Husserlian notion of Fundierung with Rota's project of giving combinatorics a foundation in his 1964 paper ‘On the foundations of combinatorial theory I’. Section 2 gives the basic tenets of this seminal paper. Sections 3 and 4 spell out the connections made there between Rota's philosophical writings and his mathematical achievements. Section 5 shows how these two developments fit into Rota's analysis of the place of combinatorics in mathematics.
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  • Putting the World Back into Semantics.Barry Smith - 1993 - Grazer Philosophische Studien 44 (1):91-109.
    To what in reality do the logically simple sentences with empirical content correspond? Two extreme positions can be distinguished in this regard: 'Great Fact' theories, such as are defended by Davidson; and trope-theories, which see such sentences being made the simply by those events or states to which the relevant main verbs correspond. A position midway between these two extremes is defended, one according to which sentences of the given sort are made tme by what are called 'dependence structures', or (...)
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  • Sheets, Diagrams, and Realism in Peirce.Frederik Stjernfelt - 2022 - Berlin: De Gruyter.
    This book investigates a number of central problems in the philosophy of Charles Peirce grouped around the realism of his semiotics: the issue of how sign systems are developed and used in the investigation of reality. Thus, it deals with the precise character of Peirce's realism; with Peirce's special notion of propositions as signs which, at the same time, denote and describe the same object. It deals with diagrams as signs which depict more or less abstract states-of-affairs, facilitating reasoning about (...)
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  • A Return to the Analogy of Being.Kris Mcdaniel - 2010 - Philosophy and Phenomenological Research 81 (3):688 - 717.
    Recently, I’ve championed the doctrine that fundamentally different sorts of things exist in fundamentally different ways.1 On this view, what it is for an entity to be can differ across ontological categories.2 Although historically this doctrine was very popular, and several important challenges to this doctrine have been dealt with, I suspect that contemporary metaphysicians will continue to treat this view with suspicion until it is made clearer when one is warranted in positing different modes of existence.3 I address this (...)
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  • On substances, accidents and universals: In defence of a constituent ontology.Barry Smith - 1997 - Philosophical Papers 26 (1):105-127.
    The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which is an (...)
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  • Physics and the phenomenal world.Jean Petitot & Barry Smith - 1996 - In Roberto Poli & Peter Simons (eds.), Formal Ontology: Papers Presented at the International Summer School in Philosophy and Artificial Intelligence on "Formal Ontology", Bolzano, Italy, July 1-5, 1991, Central European Institute of Culture. Dordrecht, Netherland: Kluwer. pp. 233-254.
    The paper challenges the assumption, common amongst philosophers, that the reality described in the fundamental theories of microphysics is all the reality we have. It will be argued that this assumption is in fact incompatible with the nature of such theories. It will be shown further that the macro-world of three-dimensional bodies and of such qualitative structures as colour and sound can be treated scientifically on its own terms, which is to say not only from the perspective of psychology but (...)
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  • Austrian Economics and Austrian Philosophy.Barry Smith - 1986 - In Smith W. Grassl and B. (ed.), Austrian Economics and Austrian Philosophy. Helm Croom. pp. 1-36.
    Austrian economics starts out from the thesis that the objects of economic science differ from those of the natural sciences because of the centrality of the economic agent. This allows a certain a priori or essentialistic aspect to economic science of a sort which parallels the a priori dimension of psychology defended by Brentano and his student Edmund Husserl. We outline these parallels, and show how the theory of a priori dependence relations outlined in Husserl’s Logical Investigations can throw light (...)
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  • Ontología.Barry Smith - 2007 - In Hurtado G. & Nudler O. (eds.), El mobiliario del mundo. Ensayos de ontología. Universidad Autónoma de México. pp. 47–71.
    Presentiamo qui la traduzione di un lungo saggio sull’ontologia e i sistemi informativi. Abbiamo tradotto la parte più generale con le distinzioni base tra ontologia, metafisica e scienza. L’autore, fornendo un suo punto di vista peculiare sull’ontologia, descrive le diverse questioni e distinzioni connesse all’impresa ontologica, considerando sia il punto di vista dei filosofi che degli informatici.
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  • Lógica y ontología formal.Barry Smith - 2004 - In . Grupo de Acción Filosófica (Gaf), Buenos Aires.
    La lógica es para Husserl una ciencia de la ciencia, una ciencia de lo que todas las ciencias tienen en común respecto de sus modos de validación. De este modo, la lógica trata por un lado con leyes universales relacionadas con la verdad, la deducción, la verificación y la falsación; y, por otro lado, con leyes relacionadas con la teoría como tal, y con lo que produce la unidad teorética. Ambos tipos de leyes se refieren por una parte a las (...)
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  • The conscious mind unified.Brandon Rickabaugh - 2020 - Dissertation, Baylor University
    Co-Directors: Alexander Pruss & Tim O’Connor Committee: C. Stephen Evan’s, Todd Buras, -/- The current state of consciousness research is at an impasse. Neuroscience faces a variety of recalcitrant problems regarding the neurobiological binding together of states of consciousness. Philosophy faces the combination problem, that of holistically unifying phenomenal consciousness. In response, I argue that these problems all result from a naturalistic assumption that subjects of consciousness are built up out of distinct physical parts. I begin by developing a Husserlian (...)
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  • Judgment and Sachverhalt: An Introduction to Adolf Reinach’s Phenomenological Realism.James DuBois - 1995 - Dordrecht, Netherland: Springer.
    Adolf Reinach was one of the leading figures of the Munich and Göttingen circles of phenomenology, and Husserl's first real co-worker. Although his writings are highly original and remarkably clear, Reinach's tragic death in the First World War prevented him from formulating a definitive statement of his phenomenology, leaving his name virtually unknown to all but a small circle. In his ground-breaking study, Judgment and Sachverhalt, DuBois shows how Reinach succeeds in developing a realist ontology and epistemology based on rigorous (...)
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  • Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
    Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...)
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  • Topological Foundations of Cognitive Science.Carola Eschenbach, Christopher Habel & Barry Smith (eds.) - 1984 - Hamburg: Graduiertenkolleg Kognitionswissenschaft.
    A collection of papers presented at the First International Summer Institute in Cognitive Science, University at Buffalo, July 1994, including the following papers: ** Topological Foundations of Cognitive Science, Barry Smith ** The Bounds of Axiomatisation, Graham White ** Rethinking Boundaries, Wojciech Zelaniec ** Sheaf Mereology and Space Cognition, Jean Petitot ** A Mereotopological Definition of 'Point', Carola Eschenbach ** Discreteness, Finiteness, and the Structure of Topological Spaces, Christopher Habel ** Mass Reference and the Geometry of Solids, Almerindo E. Ojeda (...)
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  • Barry Smith an sich.Gerald J. Erion & Gloria Zúñiga Y. Postigo (eds.) - 2017 - Cosmos + Taxis.
    Festschrift in Honor of Barry Smith on the occasion of his 65th Birthday. Published as issue 4:4 of the journal Cosmos + Taxis: Studies in Emergent Order and Organization. Includes contributions by Wolfgang Grassl, Nicola Guarino, John T. Kearns, Rudolf Lüthe, Luc Schneider, Peter Simons, Wojciech Żełaniec, and Jan Woleński.
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  • Satz und Sachverhalt.Artur Rojszczak & Barry Smith - 2001 - Academia Verlag.
    The dominant theory of judgment in 1870 was one or other variety of combination theory: the act of judgment is an act of combining concepts or ideas in the mind of the judging subject. In the decades to follow a succession of alternative theories arose to address defects in the combination theory, starting with Bolzano’s theory of propositions in themselves, Brentano’s theory of judgment as affirmation or denial of existence, theories distinguishing judgment act from judgment content advanced by Brentano’s students (...)
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  • Mathematizing phenomenology.Jeffrey Yoshimi - 2007 - Phenomenology and the Cognitive Sciences 6 (3):271-291.
    Husserl is well known for his critique of the “mathematizing tendencies” of modern science, and is particularly emphatic that mathematics and phenomenology are distinct and in some sense incompatible. But Husserl himself uses mathematical methods in phenomenology. In the first half of the paper I give a detailed analysis of this tension, showing how those Husserlian doctrines which seem to speak against application of mathematics to phenomenology do not in fact do so. In the second half of the paper I (...)
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  • The logic and meaning of plurals. Part II.Byeong-uk Yi - 2006 - Journal of Philosophical Logic 35 (3):239-288.
    In this sequel to "The logic and meaning of plurals. Part I", I continue to present an account of logic and language that acknowledges limitations of singular constructions of natural languages and recognizes plural constructions as their peers. To this end, I present a non-reductive account of plural constructions that results from the conception of plurals as devices for talking about the many. In this paper, I give an informal semantics of plurals, formulate a formal characterization of truth for the (...)
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  • The Logic and Meaning of Plurals. Part I.Byeong-Uk Yi - 2005 - Journal of Philosophical Logic 34 (5-6):459-506.
    Contemporary accounts of logic and language cannot give proper treatments of plural constructions of natural languages. They assume that plural constructions are redundant devices used to abbreviate singular constructions. This paper and its sequel, "The logic and meaning of plurals, II", aim to develop an account of logic and language that acknowledges limitations of singular constructions and recognizes plural constructions as their peers. To do so, the papers present natural accounts of the logic and meaning of plural constructions that result (...)
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  • A Taxonomy of Part‐Whole Relations.Morton E. Winston, Roger Chaffin & Douglas Herrmann - 1987 - Cognitive Science 11 (4):417-444.
    A taxonomy of part‐whole or meronymic relations is developed to explain the ordinary English‐speaker's use of the term “part of” and its cognates. The resulting classification yields six types of meronymic relations: 1. component‐integral object (pedal‐bike), 2. member‐collection (ship‐fleet), 3. portion‐mass (slice‐pie), 4. stuff‐object (steel‐car), 5. feature‐activity (paying‐shopping), and 6. place‐area (Everglades‐Florida). Meronymic relations ore further distinguished from other inclusion relations, such as spatial inclusion, and class inclusion, and from several other semantic relations: attribution, attachment, and ownership. This taxonomy is (...)
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  • Seeing and thinking: Vittorio benussi and the graz school. [REVIEW]Natale Stucchi - 1996 - Axiomathes 7 (1-2):137-172.
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  • The substance of Brentano's ontology.Barry Smith - 1987 - Topoi 6 (1):39-49.
    This paper is a study of Brentano’s ontology, and more specifically of his theory of substance and accident as put forward toward the end of his life in the materials collected together as the Kategorienlehre or Theory of Categories. Here Brentano presents an auditious (re-)interpretation of Aristotle’s theory of substance and accidence. We show that on the Brentano initially defends, it is space which serves as the single substance upon which all other entities depend as accidents of space. In an (...)
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  • On the Austrianness of Austrian economics.Barry Smith - 1990 - Critical Review: A Journal of Politics and Society 4 (1-2):212-238.
    Much recent work on the intellectual background of Austrian economics reveals an unfortunate lack of awareness of the distinct nature of the Austrian contribution to philosophy, from which the Austrian economists drew many of their ideas. The present essay offers a sketch of this contribution, contrasting Austrian philosophy especially with the modes of philosophy dominant in Germany. This makes it possible to throw new light on the relations on Mises, Kant and the Vienna circle, and it allows us also to (...)
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  • Naive physics.Barry Smith & Roberto Casati - 1994 - Philosophical Psychology 7 (2):227 – 247.
    The project of a 'naive physics' has been the subject of attention in recent years above all in the artificial intelligence field, in connection with work on common-sense reasoning, perceptual representation and robotics. The idea of a theory of the common-sense world is however much older than this, having its roots not least in the work of phenomenologists and Gestalt psychologists such as K hler, Husserl, Schapp and Gibson. This paper seeks to show how contemporary naive physicists can profit from (...)
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  • Mathematical form in the world.David Woodruff Smith - 2002 - Philosophia Mathematica 10 (2):102-129.
    This essay explores an ideal notion of form (mathematical structure) that embraces logical, phenomenological, and ontological form. Husserl envisioned a correlation among forms of expression, thought, meaning, and object—positing ideal forms on all these levels. The most puzzling formal entities Husserl discussed were those he called ‘manifolds’. These manifolds, I propose, are forms of complex states of affairs or partial possible worlds representable by forms of theories (compare structuralism). Accordingly, I sketch an intentionality-based semantics correlating these four Husserlian levels of (...)
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  • Framework for formal ontology.Barry Smith & Kevin Mulligan - 1983 - Topoi 2 (1):73-85.
    The discussions which follow rest on a distinction, first expounded by Husserl, between formal logic and formal ontology. The former concerns itself with (formal) meaning-structures; the latter with formal structures amongst objects and their parts. The paper attempts to show how, when formal ontological considerations are brought into play, contemporary extensionalist theories of part and whole, and above all the mereology of Leniewski, can be generalised to embrace not only relations between concrete objects and object-pieces, but also relations between what (...)
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  • Towards a History of Speech Act Theory.Barry Smith - 1990 - In Armin Burkhardt (ed.), Speech Acts, Meanings and Intentions. Critical Approaches to the Philosophy of John R. Searle. New York: de Gruyter. pp. 29--61.
    That uses of language not only can, but even normally do, have the character of actions was a fact largely unrealised by those engaged in the study of language before the present century, at least in the sense that there was lacking any attempt to come to terms systematically with the action-theoretic peculiarities of language use. Where the action-character of linguistic phenomena was acknowledged, it was normally regarded as a peripheral matter, relating to derivative or nonstandard aspects of language which (...)
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  • A relational theory of the act.Kevin Mulligan & Barry Smith - 1986 - Topoi 5 (2):115-130.
    ‘What is characteristic of every mental activity’, according to Brentano, is ‘the reference to something as an object. In this respect every mental activity seems to be something relational.’ But what sort of a relation, if any, is our cognitive access to the world? This question – which we shall call Brentano’s question – throws a new light on many of the traditional problems of epistemology. The paper defends a view of perceptual acts as real relations of a subject to (...)
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  • Austrian Philosophy: The Legacy of Franz Brentano.Barry Smith - 1994 - Chicago: Open Court.
    This book is a survey of the most important developments in Austrian philosophy in its classical period from the 1870s to the Anschluss in 1938. Thus it is intended as a contribution to the history of philosophy. But I hope that it will be seen also as a contribution to philosophy in its own right as an attempt to philosophize in the spirit of those, above all Roderick Chisholm, Rudolf Haller, Kevin Mulligan and Peter Simons, who have done so much (...)
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  • An Essay on Material Necessity.Barry Smith - 1992 - Canadian Journal of Philosophy (sup1):301-322.
    Where Humeans rule out the possibility of material or non-logical necessity, and thus of any associated knowledge a priori, the German legal philosopher Adolf Reinach defends the existence of a wide class of material necessities falling within the domain of what can be known a priori, for example in fields such as color and shape, rational psychology, law and economics. Categories such as promise or claim or obligation are, in Reinach’s view, exist as nodes in a system of necessary relations, (...)
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  • Acta cum fundamentis in re.Barry Smith - 1984 - Dialectica 38 (2‐3):157-178.
    It will be the thesis of this paper that there are among our mental acts some which fall into the category of real material relations. That is: some acts are necessarily such as to involve a plurality of objects as their relata or fundamenta. Suppose Bruno walks into his study and sees a cat. To describe the seeing, here, as a relation, is to affirm that it serves somehow to tie Bruno to the cat. Bruno's act of seeing, unlike his (...)
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  • Questions: An essay in Daubertian phenomenology.Karl Schuhmann & Barry Smith - 1987 - Philosophy and Phenomenological Research 47 (3):353-384.
    A number of logicians and philosophers have turned their attention in recent years to the problem of developing a logic of interrogatives. Their work has thrown a great deal of light on the formal properties of questions and question-sentences and has led also to interesting innovations in our understanding of the structures of performatives in general and, for example, in the theory of presuppositions. When, however, we examine the attempts of logicians such as Belnap or Åqvist to specify what, precisely, (...)
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  • Force cancellation.François Recanati - 2019 - Synthese 196 (4):1403-1424.
    Peter Hanks and Scott Soames both defend pragmatic solutions to the problem of the unity of the proposition. According to them, what ties together Tim and baldness in the singular proposition expressed by ‘Tim is bald’ is an act of the speaker : the act of predicating baldness of Tim. But Soames construes that act as force neutral and noncommittal while, for Hanks, it is inherently assertive and committal. Hanks answers the Frege–Geach challenge by arguing that, in complex sentences, the (...)
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  • Language and Speech as Open, Context-dependent Wholes. A view from Prague.Savina Raynaud - 2023 - Gestalt Theory 45 (1-2):21-29.
    Since language is the collective focus of this series, the present paper follows both historiographical and theoretical perspectives. The first deals with Prague as a Middle-European town, with a German and Czech University from 1882, where a philosopher, Anton Marty, from the Brentano school, focuses on language and semasiology in the framework of a psychology from an empirical standpoint. He cites Christian von Ehrenfels, and underscores the relational approach to psychic dynamism but, crucially, he emphasises the oscillations between linguistic “sketches” (...)
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  • Psicología descriptiva y 'mereología' en Carl Stumpf.Luis Ignacio Niel - 2014 - Tópicos 28:01-28.
    El artículo analiza la teoría de todos y partes de Carl Stumpf. Por un lado, se presentan los elementos básicos de su psicología descriptiva de la experiencia. Por otro lado, se analiza el desarrollo de la teoría de todos y partes sobre la base de dicha psicología descriptiva. El trabajo pretende probar dos tesis complementarias: primero, si bien la teoría mereológica de Stumpf es aún incipiente y no del todo explícita, constituye un auténtico punto de partida. Segundo, dicha mereología surge (...)
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  • Truth-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 1984 - Philosophy and Phenomenological Research 44 (3):287-321.
    A realist theory of truth for a class of sentences holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar, we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core of our theory is the (...)
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  • G. E. Moore and the greifswald objectivists on the given and the beginning of analytic philosophy.Nikolay Milkov - 2004 - Axiomathes 14 (4):361-379.
    Shortly before G. E. Moore wrote down the formative for the early analytic philosophy lectures on Some Main Problems of Philosophy (1910–1911), he had become acquainted with two books which influenced his thought: (1) a book by Husserl's pupil August Messer and (2) a book by the Greifswald objectivist Dimitri Michaltschew. Central to Michaltschew's book was the concept of the given. In Part I, I argue that Moore elaborated his concept of sense-data in the wake of the Greifswald concept. Carnap (...)
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  • Metaphysics, History, Phenomenology.Kris McDaniel - 2014 - Res Philosophica 91 (3):339-365.
    There are three interconnected goals of this paper. The first is to articulate and motivate a view of the methodology for doing metaphysics that is broadly phenomenological in the sense of Husserl circa the Logical Investigations. The second is to articulate an argument for the importance of studying the history of philosophy when doing metaphysics that is in accordance with this methodology. The third is to confront this methodology with a series of objections and determine how well it fares in (...)
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  • A Systematic Reconstruction of Brentano’s Theory of Consciousness.Andrea Marchesi - 2022 - Topoi 41 (1):123-132.
    In recent years, Brentano’s theory of consciousness has been systematically reassessed. The reconstruction that has received the most attention is the so-called identity reconstruction. It says that secondary consciousness and the mental phenomenon it is about are one and the same. Crucially, it has been claimed that this thesis is the only one which can make Brentano’s theory immune to what he considers the main threat to it, namely, the duplication of the primary object. In this paper, I argue that (...)
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  • Husserl on Perceptual Constancy.Michael Madary - 2010 - European Journal of Philosophy 20 (1):145-165.
    Abstract: In philosophy, perceptual constancy refers to the puzzling phenomenon of the perception of properties of objects despite our changing experience of those properties. Husserl developed a sophisticated description of perceptual constancy. In this paper I sketch Husserl's approach, which focuses on the suggestion that perception is partly constituted by the continuous interplay of intention and fulfilment. Unlike many contemporary theories, this framework gives us a way to understand the relationship between different appearances of the same object. I will show (...)
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  • Phenomenological factors in Vygotsky’s mature psychology.Paul S. Macdonald - 2000 - History of the Human Sciences 13 (3):69-93.
    This article examines some of the phenomenological features in Lev Vygotsky’s mature psychological theory, especially in Thinking and Speech and The Current Crisis in Psychology. It traces the complex literary and philosophical influences in 1920s Moscow on Vygotsky’s thought, through Gustav Shpet’s seminars on Husserl and the inner form of the word, Chelpanov’s seminars on phenomenology, Bakhtin’s theory of the production of inner speech, and the theoretical insights of the early Gestalt psychologists. It begins with an exposition of two central (...)
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  • Reinach, Material Necessity, and Free Variation.Nebojsa Kujundzic - 1997 - Dialogue 36 (4):721-.
    RésuméJ'examine dans cet article une notion assez spéciale de nécessité, celle de la nécessité matérielle, introduite explicitement pour la première fois par Adolf Reinach. Je soutiens que la variation libre joue un rôle important dans la découverte et la description de la nécessité matérielle et j'explore également quelques questions apparentées ayant trait à la présentation et à la signification, à la théorie des actes de discours, ainsi qu'à la qualité et à la matière de la présentation.
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  • Towards a Neo‐Aristotelian Mereology.Kathrin Koslicki - 2007 - Dialectica 61 (1):127-159.
    This paper provides a detailed examination of Kit Fine’s sizeable contribution to the development of a neo‐Aristotelian alternative to standard mereology; I focus especially on the theory of ‘rigid’ and ‘variable embodiments’, as defended in Fine 1999. Section 2 briefly describes the system I call ‘standard mereology’. Section 3 lays out some of the main principles and consequences of Aristotle’s own mereology, in order to be able to compare Fine’s system with its historical precursor. Section 4 gives an exposition of (...)
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  • Phenomenal consciousness with infallible self-representation.Chad Kidd - 2011 - Philosophical Studies 152 (3):361-383.
    In this paper, I argue against the claim recently defended by Josh Weisberg that a certain version of the self-representational approach to phenomenal consciousness cannot avoid a set of problems that have plagued higher-order approaches. These problems arise specifically for theories that allow for higher-order misrepresentation or—in the domain of self-representational theories—self-misrepresentation. In response to Weisberg, I articulate a self-representational theory of phenomenal consciousness according to which it is contingently impossible for self-representations tokened in the context of a conscious mental (...)
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  • Beware of mereologists bearing gifts: prolegomena to a medical metaphysics.George Khushf - 2013 - Theoretical Medicine and Bioethics 34 (5):385-408.
    This essay considers implications of formal mereologies and ontologies for medical metaphysics. Edward Fried’s extensional mereological account of the human body is taken as representative of a prominent strand in analytic metaphysics that has close affinities with medical positivism. I show why such accounts fail. First, I consider how Fried attempts to make sense of the medical case of Barney Clark, the first recipient of an artificial heart, and show that his analytic metaphysical categories do not have the right kind (...)
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  • Widersinn in Husserl’s Pure Logic.Manuel Gustavo Isaac - 2016 - Logica Universalis 10 (4):419-430.
    The purpose of this paper is to provide a unitary typology for the incompatibilities of meanings at stake on different levels of Husserlian pure logic—namely, between systems of axioms and pure morphology of meanings; I show that they perfectly match by converging on the notion of Widersinn.
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  • Plurals and complexes.Keith Hossack - 2000 - British Journal for the Philosophy of Science 51 (3):411-443.
    Atomism denies that complexes exist. Common-sense metaphysics may posit masses, composite individuals and sets, but atomism says there are only simples. In a singularist logic, it is difficult to make a plausible case for atomism. But we should accept plural logic, and then atomism can paraphrase away apparent reference to complexes. The paraphrases require unfamiliar plural universals, but these are of independent interest; for example, we can identify numbers and sets with plural universals. The atomist paraphrases would fail if plurals (...)
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  • Plato’s Problem of Composition.Verity Harte - 2002 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 17 (1):1-26.
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  • Omnipresence, Multipresence and Ubiquity: Kinds of Generality in and Around Mathematics and Logics. [REVIEW]I. Grattan-Guinness - 2011 - Logica Universalis 5 (1):21-73.
    A prized property of theories of all kinds is that of generality, of applicability or least relevance to a wide range of circumstances and situations. The purpose of this article is to present a pair of distinctions that suggest that three kinds of generality are to be found in mathematics and logics, not only at some particular period but especially in developments that take place over time: ‘omnipresent’ and ‘multipresent’ theories, and ‘ubiquitous’ notions that form dependent parts, or moments, of (...)
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  • A New–old Characterisation of Logical Knowledge.Ivor Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (3):245 - 290.
    We seek means of distinguishing logical knowledge from other kinds of knowledge, especially mathematics. The attempt is restricted to classical two-valued logic and assumes that the basic notion in logic is the proposition. First, we explain the distinction between the parts and the moments of a whole, and theories of ?sortal terms?, two theories that will feature prominently. Second, we propose that logic comprises four ?momental sectors?: the propositional and the functional calculi, the calculus of asserted propositions, and rules for (...)
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  • Towards a common semantics for English count and mass nouns.Brendan S. Gillon - 1992 - Linguistics and Philosophy 15 (6):597 - 639.
    English mass noun phrases & count noun phrases differ only minimally grammatically. The basis for the difference is ascribed to a difference in the features +/-CT. These features serve the morphosyntactic function of determining the available options for the assigment of grammatical number, itself determined by the features +/-PL: +CT places no restriction on the available options, while -CT, in the unmarked case, restricts the available options to -PL. They also serve the semantic function of determining the sort of denotation (...)
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