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  1. The Future of Mathematics in Economics: A Philosophically Grounded Proposal.Ricardo Crespo & Fernando Tohmé - 2017 - Foundations of Science 22 (4):677-693.
    The use of mathematics in economics has been widely discussed. The philosophical discussion on what mathematics is remains unsettled on why it can be applied to the study of the real world. We propose to get back to some philosophical conceptions that lead to a language-like role for the mathematical analysis of economic phenomena and present some problems of interest that can be better examined in this light. Category theory provides the appropriate tools for these analytical approach.
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  • Les classes dans les Principia Mathematica sont‐elles des expressions incomplétes?Par Jocelyne Couture - 1983 - Dialectica 37 (4):249-267.
    RésuméLa théorie des expressions incomplétes dans Principia Mathematica, se fonde sur le principe déja appliqué par Russell dans “On Denoting”, selon lequel il est souhaitable dans certains cas, ?on;établir le statut syntaxique des expressions catégorématiques. Grâce à la théorie intensionnelle ramifyée des types, les expressions incomplétes réféientiellement pourront être logiquement caractérisées par un mode de dérivation principalement basé sur la quantification non‐objectuelle. Ľintroduction des classes cependant, n'est en aucune façon reliée à ce mode intensionnel de dérivation; il en résulte qu'elles (...)
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  • Kotarbiński’s reism and the vienna circle.Francesco Coniglione - 2000 - Axiomathes 11 (1 - 3):37-69.
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  • Logic as a Science and Logic as a Theory: Remarks on Frege, Russell and the Logocentric Predicament.Anssi Korhonen - 2012 - Logica Universalis 6 (3):597-613.
    Since its publication in 1967, van Heijenoort’s paper, “Logic as Calculus and Logic as Language” has become a classic in the historiography of modern logic. According to van Heijenoort, the contrast between the two conceptions of logic provides the key to many philosophical issues underlying the entire classical period of modern logic, the period from Frege’s Begriffsschrift (1879) to the work of Herbrand, Gödel and Tarski in the late 1920s and early 1930s. The present paper is a critical reflection on (...)
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  • The development of the theory of logical types and the notion of a logical subject in Russell's early philosophy.Nino Cocchiarella - 1980 - Synthese 45 (1):71 - 115.
    Russell's involuted path in the development of his theory of logical types from 1903 to 1910-13 is examined and explained in terms of the development in his early philosophy of the notion of a logical subject vis-a-vis the problem of the one and many; i.e., the problem for russell, first, of a class-as-one as a logical subject as opposed to a class as many, and, secondly, of a propositional function as a single and separate logical subject as opposed to existing (...)
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  • Quasi‐Boolean Algebras, Empirical Continuity and Three‐Valued Logic J. P. Cleave in Bristol (Great Britain).J. P. Cleave - 1976 - Mathematical Logic Quarterly 22 (1):481-500.
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  • Quasi-Boolean Algebras, Empirical Continuity and Three-Valued Logic J. P. Cleave in Bristol.J. P. Cleave - 1976 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1):481-500.
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  • Existence claims and causality.Colin Cheyne - 1998 - Australasian Journal of Philosophy 76 (1):34 – 47.
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  • Rethinking Knowledge.Carlo Cellucci - 2015 - Metaphilosophy 46 (2):213-234.
    The view that the subject matter of epistemology is the concept of knowledge is faced with the problem that all attempts so far to define that concept are subject to counterexamples. As an alternative, this article argues that the subject matter of epistemology is knowledge itself rather than the concept of knowledge. Moreover, knowledge is not merely a state of mind but rather a certain kind of response to the environment that is essential for survival. In this perspective, the article (...)
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  • On plural reference and elementary set theory.Helen Morris Cartwright - 1993 - Synthese 96 (2):201 - 254.
    The view that plural reference is reference to a set is examined in light of George Boolos's treatment of second-order quantification as plural quantification in English. I argue that monadic second-order logic does not, in Boolos's treatment, reflect the behavior of plural quantifiers under negation and claim that any sentence that properly translates a second-order formula, in accordance with his treatment, has a first-order formulation. Support for this turns on the use of certain partitive constructions to assign values to variables (...)
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  • Groundwork for the Metaphysics of Deductive Reasoning: The Relation of the Universal and the Particular in Early Works of Tanabe Hajime.Timothy Burns & Tanabe Hajime - 2013 - Comparative and Continental Philosophy 5 (2):124-149.
    This article introduces the first English translation of one of Tanabe’s early essays on metaphysics. It questions the relation of the universal to the particular in context of logic, phenomenology, Neo-Kantian epistemology, and classical metaphysics. Tanabe provides his reflections on the nature of the concept of universality and its constitutive relation to phenomenal particulars through critical analyses of the issue as it is discussed across various schools of philosophy including: British Empiricism, the Marburg School, the Austrian School, the Kyoto School, (...)
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  • Real possibilities.John C. Bigelow - 1988 - Philosophical Studies 53 (1):37 - 64.
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  • On the structure of visual sentience.George Berger - 1987 - Synthese 71 (June):355-70.
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  • A discrete solution for the paradox of Achilles and the tortoise.Vincent Ardourel - 2015 - Synthese 192 (9):2843-2861.
    In this paper, I present a discrete solution for the paradox of Achilles and the tortoise. I argue that Achilles overtakes the tortoise after a finite number of steps of Zeno’s argument if time is represented as discrete. I then answer two objections that could be made against this solution. First, I argue that the discrete solution is not an ad hoc solution. It is embedded in a discrete formulation of classical mechanics. Second, I show that the discrete solution cannot (...)
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  • Frege’s Ancestral and Its Circularities.Ignacio Angelelli - 2012 - Logica Universalis 6 (3-4):477-483.
    After presenting the ordinary and the Fregean formulations of the ancestral, I raise the question of what is their relationship, the natural candidate being that the Fregean version is an analysans intended to improve upon, and replace, the common notion of ancestral (the analysandum). Next, two types of circles that arise in connection with the Fregean ancestral are presented, and it is claimed that one of the circles makes it impossible to maintain the just described (“replacement”) interpretation. A reference is (...)
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  • Logic and ontology.A. B. du Toit - 1974 - Philosophical Papers 3 (1):17-45.
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  • Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.
    Why should one think Frege's definition of the ancestral correct? It can be proven to be extensionally correct, but the argument uses arithmetical induction, and that seems to undermine Frege's claim to have justified induction in purely logical terms. I discuss such circularity objections and then offer a new definition of the ancestral intended to be intensionally correct; its extensional correctness then follows without proof. This new definition can be proven equivalent to Frege's without any use of arithmetical induction. This (...)
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  • Logical Space and the Space of Sight: The Relevance of Wittgenstein's Arguments to Recent Issues in the Philosophy of Mind.Ludovic Soutif - 2008 - Dialogue 47 (3-4):501-536.
    In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...)
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  • Are necessary and sufficient conditions converse relations?Gilberto Gomes - 2009 - Australasian Journal of Philosophy 87 (3):375 – 387.
    Claims that necessary and sufficient conditions are not converse relations are discussed, as well as the related claim that If A, then B is not equivalent to A only if B . The analysis of alleged counterexamples has shown, among other things, how necessary and sufficient conditions should be understood, especially in the case of causal conditions, and the importance of distinguishing sufficient-cause conditionals from necessary-cause conditionals. It is concluded that necessary and sufficient conditions, adequately interpreted, are converse relations in (...)
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  • Zeno, zero and indeterminate forms: Instants in the logic of motion.Mark Zangari - 1994 - Australasian Journal of Philosophy 72 (2):187 – 204.
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  • Weinberg's Refutation of Nominalism.Fred Wilson - 1969 - Dialogue 8 (3):460-474.
    Professor Weinberg, in his recention, Relation, and Induction, has critically discussed the nominalistic tradition stemming from Ockham and continuing in the work of Berkeley and Hume. In this tradition there is one fundamental principle, which however divides into two parts. The first is Whatever is distinguishable is distinct, and conversely. The second is Whatever is distinct is separable, and conversely. Weinberg argues that both and are mistaken.In this paper I propose to explore the case against nominalism. I shall suggest that (...)
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  • Are species sets?Bradley E. Wilson - 1991 - Biology and Philosophy 6 (4):413-431.
    I construe the question Are species sets? as a question about whether species can be conceived of as sets, as the term set is understood by contemporary logicians. The question is distinct from the question Are species classes?: The conception of classes invoked by Hull and others differs from the logician's conception of a set. I argue that species can be conceived of as sets, insofar as one could identify a set with any given species and that identification would satisfy (...)
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  • Anti-Positionalism’s Regress.Jan Willem Wieland - 2010 - Axiomathes 20 (4):479-493.
    This paper is about the Problem of Order, which is basically the problem how to account for both the distinctness of facts like a’s preceding b and b’s preceding a, and the identity of facts like a’s preceding b and b’s succeeding a. It has been shown that the Standard View fails to account for the second part and is therefore to be replaced. One of the contenders is Anti-Positionalism. As has recently been pointed out, however, Anti-Positionalism falls prey to (...)
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  • Analysis and real definition.Morris Weitz - 1950 - Philosophical Studies 1 (1):1 - 8.
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  • Transfinite Cardinals in Paraconsistent Set Theory.Zach Weber - 2012 - Review of Symbolic Logic 5 (2):269-293.
    This paper develops a (nontrivial) theory of cardinal numbers from a naive set comprehension principle, in a suitable paraconsistent logic. To underwrite cardinal arithmetic, the axiom of choice is proved. A new proof of Cantor’s theorem is provided, as well as a method for demonstrating the existence of large cardinals by way of a reflection theorem.
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  • The Singularity of Experiences and Thoughts.Alberto Voltolini - 2020 - Topoi 39 (2):459-473.
    Recently, various people have maintained that one must revise either the externalistically-based notion of singular thought or the naïve realism-inspired notion of relational particularity, as respectively applied to some thoughts and to some perceptual experiences. In order to do so, one must either provide a broader notion of singular thought or flank the notion of relational particularity with a broader notion of phenomenal particularity. I want to hold that there is no need of that revision. For the original notions can (...)
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  • To think is to have something in one’s thought.Alberto Voltolini & Elisabetta Sacchi - 2012 - Quaestio 12:395-422.
    Along with a well-honoured tradition, we will accept that intentionality is at least a property a thought holds necessarily, i.e., in all possible worlds that contain it; more specifically, a necessary relation, namely the relation of existential dependence of the thought on its intentional object. Yet we will first of all try to show that intentionality is more than that. For we will claim that intentionality is an essential property of the thought, namely a property whose predication to the thought (...)
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  • From analytic psychology to analytic philosophy: The reception of Twardowski's ideas in cambridge. [REVIEW]Maria van der Schaar - 1996 - Axiomathes 7 (3):295-324.
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  • A critique of relativism in the sociology of scientific knowledge.Si Sun - 2007 - Frontiers of Philosophy in China 2 (1):115-130.
    “The Strong Programme” is put forward as a metaphysical theory of sociology by the Edinburgh School (SSK) to study the social causes of knowledge. Barry Barnes and David Bloor are the proponents of the School. They call their programme “the Relativist View of Knowledge” and argue against rationalism in the philosophy of science. Does their relativist account of knowledge present a serious challenge to rationalism, which has dominated 20th century philosophy of science? I attempt to answer this question by criticizing (...)
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  • What is a Line?D. F. M. Strauss - 2014 - Axiomathes 24 (2):181-205.
    Since the discovery of incommensurability in ancient Greece, arithmeticism and geometricism constantly switched roles. After ninetieth century arithmeticism Frege eventually returned to the view that mathematics is really entirely geometry. Yet Poincaré, Brouwer, Weyl and Bernays are mathematicians opposed to the explication of the continuum purely in terms of the discrete. At the beginning of the twenty-first century ‘continuum theorists’ in France (Longo, Thom and others) believe that the continuum precedes the discrete. In addition the last 50 years witnessed the (...)
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  • More Problems for MaxCon: Contingent Particularity and Stuff-Thing Coincidence.Mark Steen - 2011 - Acta Analytica 26 (2):135-154.
    Ned Markosian argues (Australasian Journal of Philosophy 76:213-228, 1998a; Australasian Journal of Philosophy 82:332-340, 2004a, The Monist 87:405-428, 2004b) that simples are ‘maximally continuous’ entities. This leads him to conclude that there could be non-particular ‘stuff’ in addition to things. I first show how an ensuing debate on this issue McDaniel (Australasian Journal of Philosophy 81(2):265-275, 2003); Markosian (Australasian Journal of Philosophy 82:332-340, 2004a) ended in deadlock. I attempt to break the deadlock. Markosian’s view entails stuff-thing coincidence, which I show (...)
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  • Leibniz and Russell on Existence and Quantification Theory.Jeffrey Skosnik - 1980 - Canadian Journal of Philosophy 10 (4):681 - 720.
    Never shall this be proved, that things that are not are. ParmenidesTo say that something does not exist, or that there is something which is not, is clearly a contradiction in terms; hence “ ” must be true. Moreover, we should certainly expect leave to put any primitive name of our language for the “x” of any matrix “ … x … ”, and to infer the resulting singular statement from “ ”; it is difficult to contemplate any alternative logical (...)
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  • ‘New continents’: The logical system of Josiah Royce.Scott L. Pratt - 2007 - History and Philosophy of Logic 28 (2):133-150.
    Josiah Royce (1855?1916) was, in addition to being the pre-eminent metaphysician at the turn of the 19th century in the USA, regarded as ?a logician of the first rank?. At the time of his death in 1916, he had begun a substantial and potentially revolutionary project in logic in which he sought to show the connection between logic and ethics, aesthetics, and metaphysics. His system was developed in light of the work of Bertrand Russell and A. B. Kempe and aimed (...)
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  • Spinning Shadows.Roy Sorensen - 2006 - Philosophy and Phenomenological Research 72 (2):345 - 365.
    If a spinning sphere casts a shadow, does the shadow also spin? This riddle is the point of departure for an investigation into the nature of shadow movement. A general theory of motion will encompass all moving things, not just physical objects. Ultimately, I argue that round shadows do indeed spin. Shadows are followers of the objects that cast them. Parts of the shadow correspond to parts of the leader, so motion of the caster's parts accounts for motions of the (...)
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  • Kant on apperception and the unity of judgment.Timothy Rosenkoetter - 2006 - Inquiry: An Interdisciplinary Journal of Philosophy 49 (5):469-489.
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  • Adverbs: From a logical point of view.Barry Richards - 1976 - Synthese 32 (3-4):329 - 372.
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  • Russell and the universalist conception of logic.Ian Proops - 2007 - Noûs 41 (1):1–32.
    The paper critically scrutinizes the widespread idea that Russell subscribes to a "Universalist Conception of Logic." Various glosses on this somewhat under-explained slogan are considered, and their fit with Russell's texts and logical practice examined. The results of this investigation are, for the most part, unfavorable to the Universalist interpretation.
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  • On the origins of the contemporary notion of propositional content: anti-psychologism in nineteenth-century psychology and G.E. Moore’s early theory of judgment.Consuelo Preti - 2008 - Studies in History and Philosophy of Science Part A 39 (2):176-185.
    I argue that the familiar picture of the rise of analytic philosophy through the early work of G. E. Moore and Bertrand Russell is incomplete and to some degree erroneous. Archival evidence suggests that a considerable influence on Moore, especially evident in his 1899 paper ‘The nature of judgment,’ comes from the literature in nineteenth-century empirical psychology rather than nineteenth-century neo-Hegelianism, as is widely believed. I argue that the conceptual influences of Moore’s paper are more likely to have had their (...)
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  • Russell's Last (And Best) Multiple-Relation Theory of Judgement.Christopher Pincock - 2008 - Mind 117 (465):107 - 139.
    Russell's version of the multiple-relation theory from the "Theory of Knowledge" manuscript is presented and defended against some objections. A new problem, related to defining truth via correspondence, is reconstructed from Russell's remarks and what we know of Wittgenstein's objection to Russell's theory. In the end, understanding this objection in terms of correspondence helps to link Russell's multiple-relation theory to his later views on propositions.
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  • Part-Time Objects.Paolo Dau - 1986 - Midwest Studies in Philosophy 11 (1):459-474.
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  • How Powers Emerge from Relations.Michele Paolini Paoletti - 2016 - Axiomathes 26 (2):187-204.
    I shall explore in this article the metaphysical possibility of powers’ strongly emerging from relations. After having provided a definition of emergent powers that is also based on the distinction between the possession and the activation of a power, I shall introduce different sorts of Relations that Ground Emergence, both external and internal. Later on, I shall discuss some examples of powers that are grounded on their instantiation. Finally, I shall examine the consequences of accepting such relations within a physicalistic (...)
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  • A Problem for Ontological Pluralism and a Half-Meinongian Solution.Michele Paolini Paoletti - 2015 - Philosophia 43 (2):463-473.
    According to K. McDaniel’s and J. Turner’s Ontological Pluralism, there are many ways of being that are more fundamental than being in general. In this paper, I shall analyze some constraints on this doctrine. Among other, ontological pluralists are committed to the idea that there are no things that have no way of being at all and that it is not legitimate to quantify over ways of being. Later on, I shall introduce a problem for ontological pluralism: if there is (...)
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  • Propositional Attitudes in Modern Philosophy.Walter Ott - 2002 - Dialogue 41 (3):551-568.
    Philosophers of the modern period are often presented as having made an elementary error: that of confounding the attitude one adopts toward a proposition with its content. By examining the works of Locke and the Port-Royalians, I show that this accusation is ill-founded and that Locke, in particular, has the resources to construct a theory of propositional attitudes.
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  • “Primary Relations” In a New Foundational Axiomatic Framework.Lidia Obojska - 2007 - Journal of Philosophical Logic 36 (6):641-657.
    The new system of axioms we propose is based on the foundational theory of De Giorgi et al. Scuola Normale Superiore di Pisa, Preprints di Matematica 26: 1 (1996) slightly modified. In that paper (which is dedicated to a new axiomatic framework for mathematics, informatics and logic) the authors use two kinds of primitive notions: relations and qualities. Since their system is based on the distribution paradigm, they start from distinction. We propose to shift the perspective and to start from (...)
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  • A Non-reductive Model of Component Forces and Resultant Force.Dwayne Moore - 2012 - International Studies in the Philosophy of Science 26 (4):359-380.
    While there are reasons to believe that both component forces and a resultant force operate on a body in combined circumstances, the threat of overdetermination largely prevents adoption of this view. Accordingly, a lively debate has arisen over which force actually exists and which force is eliminated in combined circumstances, the components or the resultant. In this article I present a non-reductive model of resultant force which ensures the existence of both the resultant force and the component forces without overdetermination. (...)
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  • Problems and prospects of measurement in the study of culture.John W. Mohr & Amin Ghaziani - 2014 - Theory and Society 43 (3):225-246.
    What is the role of measurement in the sociology of culture and how can we sort out the complexities that distinguish qualitative from quantitative approaches to this domain? In this article, we compare the issues and concerns of contemporary scholars who work on matters of culture with the writings of a group of scholars who had prepared papers for a special symposium on scientific measurement held at the annual meeting of the American Association for the Advancement of Science (AAAS) back (...)
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  • Sense and the identity conception of truth.Steven J. Methven - 2018 - European Journal of Philosophy 26 (3):1041-1056.
    The identity conception of truth holds that a thinkable is true just in case it is a fact. As such, it sets itself against correspondence theories of truth, while respecting the substantive role played by truth in respect of enquiry. In this article, I motivate and develop that view, and, in so doing, promote a particular conception of sense. This allows me to defend the view from two substantial criticisms. First, that the identity conception of truth is incoherent in respect (...)
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  • Propositional structure and truth conditions.Michael McGlone - 2012 - Philosophical Studies 157 (2):211-225.
    This paper presents an account of the manner in which a proposition’s immediate structural features are related to its core truth-conditional features. The leading idea is that for a proposition to have a certain immediate structure is just for certain entities to play certain roles in the correct theory of the brute facts regarding that proposition’s truth conditions. The paper explains how this account addresses certain worries and questions recently raised by Jeffery King and Scott Soames.
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  • Can discrete time make continuous space look discrete?Claudio Mazzola - 2014 - European Journal for Philosophy of Science 4 (1):19-30.
    Van Bendegem has recently offered an argument to the effect that, if time is discrete, then there should exist a correspondence between the motions of massive bodies and a discrete geometry. On this basis, he concludes that, even if space is continuous, it should nonetheless appear discrete. This paper examines the two possible ways of making sense of that correspondence, and shows that in neither case van Bendegem’s conclusion logically follows.
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  • Exemplification as Explanation.Anna-Sofia Maurin - 2013 - Axiomathes 23 (2):401-417.
    In this paper I critically investigate an unorthodox attempt to metaphysically explain in virtue of what there are states of affairs. This is a suggestion according to which states of affairs exist thanks to, rather than, as is the common view, in spite of, the infinite regress their metaphysical explanation seems to engender. I argue that, no matter in which form it is defended, or in which theoretical framework it is set, this suggestion cannot provide us with the explanation we (...)
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