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Parts and Moments. Studies in Logic and Formal Ontology

(ed.)
Philosophia Verlag (1982)

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  1. Minimal Aristotelian Ontology.Luc Schneider - 2017 - Cosmos + Taxis 4 (4):27-37.
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  • Truth­-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 2009 - Swiss Philosophical Preprints.
    During the realist revival in the early years of this century, philosophers of various persuasions were concerned to investigate the ontology of truth. That is, whether or not they viewed truth as a correspondence, they were interested in the extent to which one needed to assume the existence of entities serving some role in accounting for the truth of sentences. Certain of these entities, such as the Sätze an sich of Bolzano, the Gedanken of Frege, or the propositions of Russell (...)
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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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  • 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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  • Vérifacteurs.Kevin Mulligan, Peter Simons & Barry Smith - 2008-2011 - Etudes de Philosophie 9:104-138.
    French translation of "Truth-Makers" (1984). A realist theory of truth for a class of sentence 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 (...)
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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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  • La distinction entre noms massifs et noms comptables.David Nicolas - 2002 - Editions Peeters.
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  • Formal Ontology, Common Sense, and Cognitive Science.Barry Smith - 1995 - International Journal of Human-Computer Studies 43 (5-6):641–667.
    Common sense is on the one hand a certain set of processes of natural cognition - of speaking, reasoning, seeing, and so on. On the other hand common sense is a system of beliefs (of folk physics, folk psychology and so on). Over against both of these is the world of common sense, the world of objects to which the processes of natural cognition and the corresponding belief-contents standardly relate. What are the structures of this world? How does the scientific (...)
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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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  • 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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  • 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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  • Meaning and Reality: A Cross-Traditional Encounter.Lajos L. Brons - 2013 - In Bo Mou & R. Tieszen (eds.), Constructive Engagement of Analytic and Continental Approaches in Philosophy. Brill. pp. 199-220.
    (First paragraph.) Different views on the relation between phenomenal reality, the world as we consciously experience it, and noumenal reality, the world as it is independent from an experiencing subject, have different implications for a collection of interrelated issues of meaning and reality including aspects of metaphysics, the philosophy of language, and philosophical methodology. Exploring some of these implications, this paper compares and brings together analytic, continental, and Buddhist approaches, focusing on relevant aspects of the philosophy of Donald Davidson, Jacques (...)
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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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  • Logical Praxis and Logical Theory Part II: Selected Roles for Logicians.Edward A. Maziarz - 1988 - Philosophia Mathematica (2):21-58.
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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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  • Truthmakers, Truthbearers and the Objectivity of Truth.Artur Rojszczak & Barry Smith - 2003 - In Jaako Hintikka (ed.), Philosophy and Logic: In Search of the Polish Tradition. Boston: Kluwer. pp. 229-268.
    The aim of this paper is to show that the account of objective truth taken for granted by logicians at least since the publication in 1933 of Tarski’s “The Concept of Truth in Formalized Languages” arose out of a tradition of philosophical thinking initiated by Bolzano and Brentano. The paper shows more specifically that certain investigations of states of affairs and other objectual correlates of judging acts, investigations carried out by Austrian and Polish philosophers around the turn of the century, (...)
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  • Husserl on Perceptual Constancy.Michael Madary - 2012 - 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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  • 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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  • 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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  • Il Problema Dell'infinito Nell'orizzonte Fenomenologico Husserliano.Andrea Altobrando - 2012 - Dissertation, University of Padua
    The aim of this work is to elucidate the meaning of 'infinity' from a phenomenological perspective, especially within the framework of Husserl’s theory of knowledge and perception. In the first chapter I firstly sketch the basics of Husserl’s phenomenology of knowledge. Thereafter I delve into the questions concerning the reduction to the 'reellen Bestand', which is hold to be the ground of verification of purports in the "Logical Investigations". I then propose an interpretation of the categorial intuition as directed to (...)
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  • Intuitive Knowledge.Elijah Chudnoff - 2013 - Philosophical Studies 162 (2):359-378.
    In this paper I assume that we have some intuitive knowledge—i.e. beliefs that amount to knowledge because they are based on intuitions. The question I take up is this: given that some intuition makes a belief based on it amount to knowledge, in virtue of what does it do so? We can ask a similar question about perception. That is: given that some perception makes a belief based on it amount to knowledge, in virtue of what does it do so? (...)
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  • Engineering Ontologies: Foundations and Theories From Philosophy and Logical Theory.Nicola Guarino & Barry Smith - 2006 - In SemanticMining: Semantic Interoperability and Data Mining in Biomedicine (NoE 507505). 1 Deliverable D.21.2. pp. 1-13.
    Ontology as a branch of philosophy is the science of what is, of the kinds and structures of objects, properties, events, processes and relations in every area of reality. ‘Ontology’ is often used by philosophers as a synonym for ‘metaphysics’ (literally: ‘what comes after the Physics’), a term which was used by early students of Aristotle to refer to what Aristotle himself called ‘first philosophy’. The term ‘ontology’ (or ontologia) was itself coined in 1613, independently, by two philosophers, Rudolf Göckel (...)
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  • Questions of Ontology.Kathrin Koslicki - 2015 - In Stephan Blatti & Sandra Lapointe (eds.), Ontology After Carnap. Oxford University Press.
    Following W.V. Quine’s lead, many metaphysicians consider ontology to be concerned primarily with existential questions of the form, “What is there?”. Moreover, if the position advanced by Rudolf Carnap, in his seminal essay, “Empiricism, Semantics, and Ontology ”, is correct, then many of these existential ontological questions ought to be classified as either trivially answerable or as “pseudo-questions”. One may justifiably wonder, however, whether the Quinean and Carnapian perspective on ontology really does justice to many of the most central concerns (...)
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  • Introduction.Barry Smith & David Woodruff Smith - 1995 - In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl.
    Husserl’s philosophy, by the usual account, evolved through three stages: 1. development of an anti-psychologistic, objective foundation of logic and mathematics, rooted in Brentanian descriptive psychology; 2. development of a new discipline of "phenomenology" founded on a metaphysical position dubbed "transcendental idealism"; transformation of phenomenology from a form of methodological solipsism into a phenomenology of intersubjectivity and ultimately (in his Crisis of 1936) into an ontology of the life-world, embracing the social worlds of culture and history. We show that this (...)
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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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  • 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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  • La physique naïve: un essai d'ontologie.Barry Smith & Roberto Casati - 1993 - Intellectica 17 (2):173--197.
    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 Kohler, Husserl, Schapp and Gibson. This paper seeks to show how contemporary naive physicists can profit from a (...)
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  • Dinge Und Eigenschaften Versuch Zur Ontologie.Daniel von Wachter - 2000 - Verlag J.H. Röll.
    Discusses Armstrong's and Roman Ingarden's ontology, criticises substance ontology, and defends tropes and a field ontology.
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  • Ontology: Towards a New Synthesis.Barry Smith & Chris Welty - 2001 - In Formal Ontology in Information Systems. New York: ACM Press.
    This introduction to the second international conference on Formal Ontology and Information Systems presents a brief history of ontology as a discipline spanning the boundaries of philosophy and information science. We sketch some of the reasons for the growth of ontology in the information science field, and offer a preliminary stocktaking of how the term ‘ontology’ is currently used. We conclude by suggesting some grounds for optimism as concerns the future collaboration between philosophical ontologists and information scientists.
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  • John Cook Wilson.Mathieu Marion - 2010 - Stanford Encyclopedia of Philosophy.
    John Cook Wilson (1849–1915) was Wykeham Professor of Logic at New College, Oxford and the founder of ‘Oxford Realism’, a philosophical movement that flourished at Oxford during the first decades of the 20th century. Although trained as a classicist and a mathematician, his most important contribution was to the theory of knowledge, where he argued that knowledge is factive and not definable in terms of belief, and he criticized ‘hybrid’ and ‘externalist’ accounts. He also argued for direct realism in perception, (...)
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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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  • A Taxonomy of Part‐Whole Relations.Morton E. Winston, Roger Chaffin & Douglas Herrmann - 1987 - Cognitive Science 11 (4):417-444.
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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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  • Austrian Economics and Austrian Philosophy.Barry Smith - 1986 - In Wolfgang Grassl & Barry Smith (eds.), Austrian Economics: Historical and Philosophical Background. London: Croom Helm, reprinted: Routledge Revivals, 2010. 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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  • Characteristica Universalis.Barry Smith - 1992 - In Kevin Mulligan (ed.), Language, Truth and Ontology. London: Kluwer Academic Publishers. pp. 48--77.
    Recent work in formal philosophy has concentrated over-whelmingly on the logical problems pertaining to epistemic shortfall - which is to say on the various ways in which partial and sometimes incorrect information may be stored and processed. A directly depicting language, in contrast, would reflect a condition of epistemic perfection. It would enable us to construct representations not of our knowledge but of the structures of reality itself, in much the way that chemical diagrams allow the representation (at a certain (...)
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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • Die Theorie der Intentionalität Meinongs.Arkadiusz Chrudzimski - 2001 - Dialectica 55 (2):119–143.
    The most striking feature of Meinong's theory of intentionality is his thesis that every mental act has its reference‐object “beyond being and non being”. This theory seems, at first, to be a clear example of the so called object‐theory of intentionality, as it introduces special “postulated” entities in the target‐position of the mental act. Closer examination, however, reveals in Meinong's works important elements of the mediator‐theory. Meinong speaks of auxiliary incomplete objects situated “between” the subject and the object of reference (...)
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  • G. F. Stout and the Psychological Origins of Analytic Philosophy.Maria Sandra Van der Schaar - 2013 - London, England: Palgrave McMillan.
    This book shows that Stout's ideas have played a role in Moore and Russell's development from their early idealism towards analytic realism, where Stout's ideas often find their origin in early phenomenology.
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  • Logic and Philosophy of Mathematics in the Early Husserl.Stefania Centrone - 2009 - Dordrecht, Netherland: Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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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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  • Physics and the Phenomenal World.Jean Petitot & Barry Smith - 1996 - In Roberto Poli & Peter Simons (eds.), Formal Ontology. Dordrecht: 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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  • Experimental Phenomenology: What It is and What It is Not.Liliana Albertazzi - 2019 - Synthese 198 (Suppl 9):2191-2212.
    Experimental phenomenology is the study of appearances in subjective awareness. Its methods and results challenge quite a few aspects of the current debate on consciousness. A robust theoretical framework for understanding consciousness is pending: current empirical research waves on what a phenomenon of consciousness properly is, not least because the question is still open on the observables to be measured and how to measure them. I shall present the basics of experimental phenomenology and discuss the current development of experimental phenomenology, (...)
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  • Review of Ernest Davis: Representations of Commonsense Knowledge. [REVIEW]Barry Smith - 1994 - Minds and Machines 4 (2):245-249.
    Review of a compendium of alternative formal representations of common-sense knowledge. The book is centered largely on formal representations drawn from first-order logic, and thus lies in the tradition of Kenneth Forbus, Patrick Hayes and Jerry Hobbs.
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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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  • A Defense of Second-Order Logic.Otávio Bueno - 2010 - Axiomathes 20 (2-3):365-383.
    Second-order logic has a number of attractive features, in particular the strong expressive resources it offers, and the possibility of articulating categorical mathematical theories (such as arithmetic and analysis). But it also has its costs. Five major charges have been launched against second-order logic: (1) It is not axiomatizable; as opposed to first-order logic, it is inherently incomplete. (2) It also has several semantics, and there is no criterion to choose between them (Putnam, J Symbol Logic 45:464–482, 1980 ). Therefore, (...)
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