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Vagueness and alternative logic

Erkenntnis 19 (1-3):297 - 314 (1975)

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  1. Neutralism and the Observational Sorites Paradox.Patrick Greenough - manuscript
    Neutralism is the broad view that philosophical progress can take place when (and sometimes only when) a thoroughly neutral, non-specific theory, treatment, or methodology is adopted. The broad goal here is to articulate a distinct, specific kind of sorites paradox (The Observational Sorites Paradox) and show that it can be effectively treated via Neutralism.
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  • Inconsistent Languages.Matti Eklund - 2002 - Philosophy and Phenomenological Research 64 (2):251-275.
    The main thesis of this paper is that we sometimes are disposed to accept false and even jointly inconsistent claims by virtue of our semantic competence, and that this comes to light in the sorites and liar paradoxes. Among the subsidiary theses are that this is an important source of indeterminacy in truth conditions, that we must revise basic assumptions about semantic competence, and that classical logic and bivalence can be upheld in the face of the sorites paradox.
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  • Vagueness and Intuitionistic Logic.Ian Rumfitt - forthcoming - In Alexander Miller (ed.), Language, Logic,and Mathematics: Themes from the Philosophy of Crispin Wright. Oxford University Press.
    In his essay ‘“Wang’s Paradox”’, Crispin Wright proposes a solution to the Sorites Paradox (in particular, the form of it he calls the ‘Paradox of Sharp Boundaries’) that involves adopting intuitionistic logic when reasoning with vague predicates. He does not give a semantic theory which accounts for the validity of intuitionistic logic (and the invalidity of stronger logics) in that area. The present essay tentatively makes good the deficiency. By applying a theorem of Tarski, it shows that intuitionistic logic is (...)
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  • Lógica fuzzy, verdad y cognición.Alejandro Ramírez - 2014 - Revista de filosofía (Chile) 70:133-147.
    S.Haack has defended the idea that in fuzzy logic it cannot be affirmed that the true values of a statement are themselves blurry. This article analyzes Haack position in the light of some current approaches of classic philosophy of logic, and from the cognitive point of view of philosophy of logic, especially from the theory of concepts. Under the said approaches, the thesis on non-gradation of truth appears significantly weakened.
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  • Vagueness unlimited: In defence of a pragmatical approach to sorites paradoxes.Bart Van Kerkhove - 2003 - Logic and Logical Philosophy 11:251-276.
    As far as ‘modern’ logical theories of vagueness are concerned, a main distinction can be drawn between ‘semantical’ ones and ‘pragmatical’ ones. The latter are defended here, because they tend to retake into account important contextual dimensions of the problem abandoned by the former. Their inchoate condition seems not alarming, since they are of surprisingly recent date. This, however, could very well be an accidental explanation. That is, the true reason for it might sooner or later turn out to be (...)
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  • The Necessity of Metaphysics.Tuomas E. Tahko - 2008 - Dissertation, Durham University
    The purpose of this thesis is to demonstrate that metaphysics is a necessary discipline -- necessary in the sense that all areas of philosophy, all areas of science, and in fact any type of rational activity at all would be impossible without a metaphysical background or metaphysical presuppositions. Because of the extremely strong nature of this claim, it is not possible to put forward a very simple argument, although I will attempt to construct one. A crucial issue here is what (...)
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  • Vaghezza: confini, cumuli e paradossi.Sebastiano Moruzzi - 2012 - Roma: Laterza.
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  • Weakly Classical Theories of Identity.Joshua Schechter - 2011 - Review of Symbolic Logic 4 (4):607-644.
    There are well-known quasi-formal arguments that identity is a "strict" relation in at least the following three senses: (1) There is a single identity relation and a single distinctness relation; (2) There are no contingent cases of identity or distinctness; and (3) There are no vague or indeterminate cases of identity or distinctness. However, the situation is less clear cut than it at first may appear. There is a natural formal theory of identity that is very close to the standard (...)
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  • The philosophy of alternative logics.Andrew Aberdein & Stephen Read - 2009 - In Leila Haaparanta (ed.), The development of modern logic. New York: Oxford University Press. pp. 613-723.
    This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...)
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  • Vagueness, tolerance and contextual logic.Haim Gaifman - 2010 - Synthese 174 (1):5 - 46.
    The goal of this paper is a comprehensive analysis of basic reasoning patterns that are characteristic of vague predicates. The analysis leads to rigorous reconstructions of the phenomena within formal systems. Two basic features are dealt with. One is tolerance: the insensitivity of predicates to small changes in the objects of predication (a one-increment of a walking distance is a walking distance). The other is the existence of borderline cases. The paper shows why these should be treated as different, though (...)
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  • Homonymous mistakes with ontological aspirations: The persisting problem with the word 'consciousness'.Rodrigo Becerra - 2004 - Sorites 15 (December):11-23.
    In order to understand consciousness one would benefit from developing a more eclectic intellectual style. Consciousness is, as proposed by almost everyone except the stubborn reductionists, a truly mysterious concept. Its study and dissection merits a multidisciplinary approach. Waving this multidisciplinary flag has positively enlarged the discussion and neurologists, psychiatrists, mathematicians, and so on, have moved to the philosophy of mind arena, first with caution and now with a more powerful voice. Identifying what we mean by consciousness is a first (...)
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  • Semantics without Toil? Brady and Rush Meet Halldén.Lloyd Humberstone - 2019 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 26 (3):340–404.
    The present discussion takes up an issue raised in Section 5 of Ross Brady and Penelope Rush’s paper ‘Four Basic Logical Issues’ concerning the (claimed) triviality – in the sense of automatic availability – of soundness and completeness results for a logic in a metalanguage employing at least as much logical vocabulary as the object logic, where the metalogical behaviour of the common logical vocabulary is as in the object logic. We shall see – in Propositions 4.5–4.7 – that this (...)
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  • The Nature and Logic of Vagueness.Marian Călborean - 2020 - Dissertation, University of Bucharest
    The PhD thesis advances a new approach to vagueness as dispersion, comparing it with the main philosophical theories of vagueness in the analytic tradition.
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  • Can the World Be Indeterminate in All Respects?Chien-Hsing Ho - 2022 - Ergo: An Open Access Journal of Philosophy 9: 584-602.
    Especially over the past twenty years, a number of analytic philosophers have embraced the idea that the world itself is vague or indeterminate in one or more respects. The issue then arises as to whether it can be the case that the world itself is indeterminate in all respects. Using as a basis Chinese Madhyamaka Buddhist thought, I offer two reasons for the coherence and intelligibility of the thesis that all concrete things are themselves indeterminate with respect to the ways (...)
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  • Intuitionism and the Modal Logic of Vagueness.Susanne Bobzien & Ian Rumfitt - 2020 - Journal of Philosophical Logic 49 (2):221-248.
    Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...)
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  • Review: Vagueness and Degrees of Truth. [REVIEW]Christian G. Fermüller - 2010 - Australasian Journal of Logic 9:1-9.
    Vagueness is one of the most persistent and challenging topics in the intersection of philosophy and logic. At least five other noteworthy books on vagueness have been written by philosophers since 1991 [2, 6, 11, 12, 15]. A (necessarily incomplete) bibliography that has been compiled for the Arché project Vagueness: its Nature and Logic (2004-2006) of the University of St Andrews lists more than 350 articles and books on vagueness until 2005.1 Many new and interesting contributions have appeared since. The (...)
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  • The surprise examination on the paradox of the Heap.Joseph Wayne Smith - 1984 - Philosophical Papers 13 (1):43-56.
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  • (1 other version)Margins for error: A reply.Timothy Williamson - 2000 - Philosophical Quarterly 50 (198):76-81.
    I address Peter Mott's 'Margins for Error and the Sorites Paradox' , pp. 494–503). Mott criticizes my account of inexact knowledge, on which it satisfies margin for error principles of the form 'If one knows in a given case, one avoids false belief in sufficiently similar cases'. Mott's arguments are shown to be fallacious because they ignore the fact that our knowledge of inexact knowledge is itself inexact. In the examples discussed, the first-level inexact knowledge is perceptual. Since my defense (...)
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  • Is vagueness Sui generis ?David Barnett - 2009 - Australasian Journal of Philosophy 87 (1):5 – 34.
    On the dominant view of vagueness, if it is vague whether Harry is bald, then it is unsettled, not merely epistemically, but metaphysically, whether Harry is bald. In other words, vagueness is a type of indeterminacy. On the standard alternative, vagueness is a type of ignorance: if it is vague whether Harry is bald, then, even though it is metaphysically settled whether Harry is bald, we cannot know whether Harry is bald. On my view, vagueness is neither a type of (...)
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  • (1 other version)Vagueness and Partial Belief.Stephen Schiffer - 2000 - Philosophical Issues 10 (1):220-257.
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  • What makes it a Heap?Timothy Williamson - 1996 - Erkenntnis 44 (3):327 - 339.
    On the epistemic view of vagueness, a vague expression has sharp boundaries whose location speakers of the language cannot recognize. The paper argues that one of the deepest sources of resistance to the epistemic view is the idea that all truths are cognitively accessible from truths in a language for natural science, conceived as precise, in a sense explained. The implications of the epistemic view for issues about the relations between vague predicates and scientific predicates are investigated.
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  • Margins for error and the sorites paradox.Peter Mott - 1998 - Philosophical Quarterly 48 (193):494-504.
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  • Lógica fuzzy, verdad y cognición.Alejandro Ramírez F. - 2014 - Revista de filosofía (Chile) 70:133-147.
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  • Does Vagueness Exclude Knowledge?David Barnett - 2010 - Philosophy and Phenomenological Research 82 (1):22 - 45.
    On two standard views of vagueness, vagueness as to whether Harry is bald entails that nobody knows whether Harry is bald—either because vagueness is a type of missing truth, and so there is nothing to know, or because vagueness is a type of ignorance, and so even though there is a truth of the matter, nobody can know what that truth is. Vagueness as to whether Harry is bald does entail that nobody clearly knows that Harry is bald and that (...)
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  • (1 other version)Vagueness and Partial Belief.Stephen Schiffer - 2000 - Noûs 34 (s1):220 - 257.
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  • Legal Indeterminacy and Constitutional Interpretation.José Juan Moreso - 1998 - Dordrecht, Netherland: Springer.
    In this book, I present the results of an investigation which began with an extended stay at Oxford's Balliol College during the first half of 1995. My visit to Oxford was made possible by a grant from the Spanish Ministerio de Educaci6n y Ciencia. My sincere thanks go to Joseph Raz who served as my supervisor in Oxford. For several points of the present study, conversations with Timothy Endicott in Oxford were also of great help. The book is part of (...)
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  • Intuitionism and vagueness.S. P. Schwartz & William Throop - 1991 - Erkenntnis 34 (3):347 - 356.
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  • Qualia and vagueness.Anthony Everett - 1996 - Synthese 106 (2):205-226.
    In this paper I present two arguments against the thesis that we experience qualia. I argue that if we experienced qualia then these qualia would have to be essentially vague entities. And I then offer two arguments, one a reworking of Gareth Evans' argument against the possibility of vague objects, the other a reworking of the Sorites argument, to show that no such essentially vague entities can exist. I consider various objections but argue that ultimately they all fail. In particular (...)
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  • آیا ارجاع متعین به ساحت الهی ممکن است؟.حامد قدیری - 2021 - پژوهشنامه فلسفه دین 18 (2):97-118.
    یکی از چالش‌های حوزۀ زبان دینی به امکانِ جمع میان فرض تعالی و فرض ارجاع متعارف دینی برمی‌گردد. فرض تعالی مدعی است که ساحت الهی/مطلق به طور کامل از ساحت بشری/ممکن منفک است. فرض ارجاع متعارف دینی نیز مدعی است که می‌توان به ساحت الهی/مطلق به شکل متعینی ارجاع داد. تردید در امکان جمعِ میان این دو از آنجا می‌آید که گویا مدعایی در ذهن هست که «اگر ساحتِ الهی/مطلق، به طور کامل از ساحتِ بشری/ممکن منفک باشد، آنگاه نمی‌توان به (...)
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  • Vagueness: A Guide.Giuseppina Ronzitti (ed.) - 2011 - Dordrecht, Netherland: Springer Verlag.
    This volume analyzes and studies how vagueness occurs and matters as a specific problem in the context of theories that are primarily about something else.
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  • Preface.Matteo Pascucci & Adam Tamas Tuboly - 2019 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 26 (3):318-322.
    Special issue: "Reflecting on the Legacy of C.I. Lewis: Contemporary and Historical Perspectives on Modal Logic".
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  • Sign, mind, time, space: Contradictory complementary coalescence.Floyd Merrell - 2009 - Semiotica 2009 (177):29-116.
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  • Cultures, timespace, and the border of borders: Posing as a theory of semiosic processes.Floyd Merrell - 2005 - Semiotica 2005 (154 - 1/4):287-353.
    This multifaceted essay emerges from a host of sources within diverse academic settings. Its central thesis is guided by physicist John A. Wheeler's thoughts on the quantum enigma. Wheeler concludes, following Niels Bohr, that we are co-participants within the universal self-organizing process. This notion merges with concepts from Peirce's process philosophy, Eastern thought, issues of topology, and border theory in cultural studies and social science, while surrounding itself with such key terms as complementarity, interdependence, interrelatedness, vagueness, generality, incompleteness, inconsistency, and (...)
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  • Vagueness and Logic.Stewart Shapiro - 2011 - In Giuseppina Ronzitti (ed.), Vagueness: A Guide. Dordrecht, Netherland: Springer Verlag. pp. 55--81.
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