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187 found
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  1. Sorites arguments, a myth of genius, and overpopulation.Terence Rajivan Edward - manuscript
    This paper responds to Theron Pummer’s distinction between Sorites arguments and repugnant conclusion arguments by presenting a Sorites overpopulation argument. Also I present a Sorites argument in favour of myths of genius.
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  2. 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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  3. Vagueness without indefiniteness.Gerald Hull - manuscript
    Contemporary discussions do not always clearly distinguish two different forms of vagueness. Sometimes focus is on the imprecision of predicates, and sometimes the indefiniteness of statements. The two are intimately related, of course. A predicate is imprecise if there are instances to which it neither definitely applies nor definitely does not apply, instances of which it is neither definitely true nor definitely false. However, indefinite statements will occur in everyday discourse only if speakers in fact apply imprecise predicates to such (...)
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  4. Sorites, Curry and Suitable Models.Bruno Da Ré & Paula Teijeiro - forthcoming - Logic and Logical Philosophy:1.
    In this paper we present two new approaches for dealing with semantic paradoxes and soritical predicates based on fuzzy logic. We show that both of them have conceptual advantages over the more traditional Łukasiewicz approach, and that the second one even avoids standard proofs of ω-nconsistency.
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  5. Vague Disagreements and the Sorites Paradox.Ted Everett - forthcoming - In Otavio Bueno & Ali Abasnezhad (eds.), Logic, Epistemology, and the Unity of Science 33: On the Sorites Paradox. New York: Springer.
    When you and I seriously argue over whether a man of seventy is old enough to count as an "old man", it seems that we are appealing neither to our own separate standards of oldness nor to a common standard that is already fixed in the language. Instead, it seems that both of us implicitly invoke an ideal, shared standard that has yet to be agreed upon: the place where we ought to draw the line. As with other normative standards, (...)
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  6. Logical Constants and the Sorites Paradox.Zack Garrett - forthcoming - Logic and Logical Philosophy:1-19.
    Logical form is thought to be discovered by keeping fixed the logical constants and allowing the non-logical content in the sentence to vary. The problem of logical constants is the problem of defining what counts as a logical constant. In this paper, I will argue that the concept ’logical constant’ is vague. I demonstrate the vagueness of logical constancy by providing a sorites argument, thereby showing the sorites-susceptibility of the concept. Many prior papers in the literature on logical constants hint (...)
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  7. Essential Vagueness: Two Models, One Simple Truth.Patrick Grim - forthcoming - In Ali Abasenezhad & Otavio Bueno (eds.), On the Sorites. Springer.
    What the Sorites has to tell us is a simple truth regarding our categories. It appears to saddle us with something other than a simple truth—something worse, a contradiction or a problem or a paradox—only when we insist on viewing it through a discrete logic of categories. Discrete categories and discrete logic are for robots. We aren’t robots, and the simple truth is that we don’t handle categories in the way any discrete logic would demand. For us non-robots, what the (...)
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  8. Vagueness.Hans Kamp & Galit W. Sassoon - forthcoming - In Paul Dekker Maria Aloni (ed.), The Cambridge Handbook of Formal Semantics. Cambridge University Press. pp. 389-441.
    Vagueness is an ultimate challenge. An enormous diversity of literature on the topic has accumulated over the years, with no hint of a consensus emerging. In this light, Section 1 presents the main aspects of the challenge vagueness poses, focusing on the category of adjectives, and then gives some brief illustrations of the pervasive manifestations of vagueness in grammar.Section 2 deals with theSorites paradox, which for many philosophers is the hallmark of vagueness: By assigning avague predicate step by apparently inescapable (...)
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  9. Can We Really See A Million Colours.David Papineau - forthcoming - In Paul Coates & Sam Coleman (eds.), The Nature of Phenomenal Qualities. Oxford University Press.
  10. 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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  11. Consonance and Dissonance in Solutions to the Sorites.Nicholas J. J. Smith - forthcoming - In Otavio Bueno & Ali Abasnezhad (eds.), On the Sorites Paradox. Springer.
    A requirement on any theory of vagueness is that it solve the sorites paradox. It is generally agreed that there are two aspects to such a solution: one task is to locate the error in the sorites argument; the second task is to explain why the sorites reasoning is a paradox rather than a simple mistake. I argue for a further constraint on approaches to the second task: they should conform to the standard modus operandi in formal semantics, in which (...)
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  12. Dialetheism and distributed sorites.Ben Blumson - 2023 - Synthese 202 (4):1-18.
    Noniterative approaches to the sorites paradox accept single steps of soritical reasoning, but deny that these can be combined into valid chains of soritical reasoning. The distributed sorites is a puzzle designed to undermine noniterative approaches to the sorites paradox, by deriving an inconsistent conclusion using only single steps, but not chains, of soritical reasoning. This paper shows how a dialetheist version of the noniterative approach, the strict-tolerant approach, also solves the distributed sorites paradox, at no further cost, by accepting (...)
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  13. Fine on the Possibility of Vagueness.Andreas Ditter - 2023 - In Federico L. G. Faroldi & Frederik van De Putte (eds.), Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Springer Verlag. pp. 715-734.
    In his paper ‘The possibility of vagueness’ (Fine in Synthese 194(10):3699–3725, 2017), Kit Fine proposes a new logic of vagueness, CL, that promises to provide both a solution to the sorites paradox and a way to avoid the impossibility result from Fine (Philos Perspect 22(1):111–136, 2008). The present paper presents a challenge to his new theory of vagueness. I argue that the possibility theorem stated in Fine (Synthese 194(10):3699–3725, 2017), as well as his solution to the sorites paradox, fail in (...)
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  14. justifying what ? - two basic types of knowledge claims revisited.Friedrich Wilhelm Grafe - 2023 - Archive.Org.
    ”It is often assumed that knowledge claims must be justified. But what kind of justification is required for knowledge ? . . . ” (*) -/- presupposition: the kind of epistemic justification depends on the type of the knowledge claim and its respective knowledge claim tradeoff ’vague vs. precise’. -/- procedere: in two - almost purely logical - case studies I account for this tradeoff and question in each case what (if any) were its general outcome wrt justification -/- first (...)
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  15. Dennett’s Prime-Mammal Objection to the Consequence Argument.Johan E. Gustafsson - 2023 - Theoria 89 (4):467-470.
    The Consequence Argument is the classic argument for the incompatibility of determinism and our ability to do otherwise. Daniel C. Dennett objects that the Consequence Argument suffers from the same error as a clearly unconvincing argument that there are no mammals. In this paper, I argue that these arguments do not suffer from the same error. The argument that there are no mammals is unconvincing as it takes the form of a sorites, whereas the Consequence Argument does not. Accordingly, Dennett's (...)
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  16. Some Remarks on the Notion of Paradox.Sergi Oms - 2023 - Acta Analytica 38 (2):211-228.
    This paper argues that the traditional characterization of the notion of paradox — an apparently valid argument with apparently true premises and an apparently false conclusion — is too narrow; there are paradoxes that do not satisfy it. After discussing, and discarding, some alternatives, an outline of a new characterization of the notion of paradox is presented. A paradox is found to be an apparently valid argument such that, apparently, it does not present the kind of commitment to the conclusion (...)
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  17. The Boolean Many-Valued Solution to the Sorites Paradox.Ken Akiba - 2022 - Synthese 200 (2):1-25.
    This paper offers the Boolean many-valued solution to the Sorites Paradox. According to the precisification-based Boolean many-valued theory, from which this solution arises, sentences have not only two truth values, truth (or 1) and falsity (or 0), but many Boolean values between 0 and 1. The Boolean value of a sentence is identified with the set of precisifications in which the sentence is true. Unlike degrees fuzzy logic assigns to sentences, Boolean many values are not linearly but only partially ordered; (...)
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  18. Vagueness: A Global Approach by Kit Fine. [REVIEW]Chad Carmichael - 2022 - Review of Metaphysics 75 (3):594-595.
    A review of Kit Fine's book, Vagueness: A Global Approach.
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  19. These Degrees go to Eleven: Fuzzy Logics and Gradable Predicates.Petr Cintula, Berta Grimau, Carles Noguera & Nicholas J. J. Smith - 2022 - Synthese 200 (445):1-38.
    In the literature on vagueness one finds two very different kinds of degree theory. The dominant kind of account of gradable adjectives in formal semantics and linguistics is built on an underlying framework involving bivalence and classical logic: its degrees are not degrees of truth. On the other hand, fuzzy logic based theories of vagueness—largely absent from the formal semantics literature but playing a significant role in both the philosophical literature on vagueness and in the contemporary logic literature—are logically nonclassical (...)
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  20. The Epistemic Consequences of Paradox.Bryan Frances - 2022 - Cambridge: Cambridge University Press.
    By pooling together exhaustive analyses of certain philosophical paradoxes, we can prove a series of fascinating results regarding philosophical progress, agreement on substantive philosophical claims, knockdown arguments in philosophy, the wisdom of philosophical belief, the epistemic status of metaphysics, and the power of philosophy to refute common sense. As examples, this Element examines the Sorites Paradox, the Liar Paradox, and the Problem of the Many – although many other paradoxes can do the trick too.
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  21. Cut-off points for the rational believer.Lina Maria Lissia - 2022 - Synthese 200 (2):1-19.
    I show that the Lottery Paradox is just a version of the Sorites, and argue that this should modify our way of looking at the Paradox itself. In particular, I focus on what I call “the Cut-off Point Problem” and contend that this problem, well known by Sorites scholars, ought to play a key role in the debate on Kyburg’s puzzle. Very briefly, I show that, in the Lottery Paradox, the premises “ticket n°1 will lose”, “ticket n°2 will lose”… “ticket (...)
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  22. Sorites On What Matters.Theron Pummer - 2022 - In Jeff McMahan, Timothy Campbell, Ketan Ramakrishnan & Jimmy Goodrich (eds.), Ethics and Existence: The Legacy of Derek Parfit. Oxford: Oxford University Press. pp. 498–523.
    Ethics in the tradition of Derek Parfit’s Reasons and Persons is riddled with sorites-like arguments, which lead us by what seem innocent steps to seemingly false conclusions. Take, for example, spectrum arguments for the Repugnant Conclusion that appeal to slight differences in quality of life. Several authors have taken the view that, since spectrum arguments are structurally analogous to sorites arguments, the correct response to spectrum arguments is structurally analogous to the correct response to sorites arguments. This sorites analogy is (...)
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  23. How to Swim in Sinking Sands: The Sorites Paradox and the Nature and Logic of Vague Language.Inga Bones - 2021 - Paderborn, Deutschland: Mentis.
    This book examines philosophical approaches to linguistic vagueness, a puzzling feature of natural language that gives rise to the ancient Sorites paradox and challenges classical logic and semantics. -/- The Sorites, or Paradox of the Heap, consists in three claims: (1) One grain of sand does not make a heap. (2) One billion grains of sand do make a heap. (3) For any two amounts of sand differing by at most one grain: either both are heaps of sand, or neither (...)
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  24. Vagueness and Frege.Marian Călborean - 2021 - Romanian Journal of Analytic Philosophy 2:12-44.
    A constant of Frege’s writing is his rejection of indeterminate predicates as found in natural language. This paper follows Frege’s remarks on vagueness from the early "Begriffsschrift” to his mature works, drawing brief parallels with the main contemporary theories of vagueness. I critically examine Frege’s arguments for the inconsistency of natural language and argue that the inability to accommodate vagueness in his mature ontology is mainly due to heuristic rules of thumb which Frege took as essential, not to a deep (...)
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  25. Qualitative versus quantitative representation: a non-standard analysis of the sorites paradox.Yair Itzhaki - 2021 - Linguistics and Philosophy 44 (5):1013-1044.
    This paper presents an analysis of the sorites paradox for collective nouns and gradable adjectives within the framework of classical logic. The paradox is explained by distinguishing between qualitative and quantitative representations. This distinction is formally represented by the use of a different mathematical model for each type of representation. Quantitative representations induce Archimedean models, but qualitative representations induce non-Archimedean models. By using a non-standard model of \ called \, which contains infinite and infinitesimal numbers, the two paradoxes are shown (...)
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  26. Prefaces, Sorites and Guides to Reasoning.Rosanna Keefe - 2021 - In Conditionals, Paradox and Probability: Themes from the Philosophy of Dorothy Edgington. Oxford, UK: pp. 212-226.
    Is there an interesting relation between the Preface paradox and the Sorites paradox that might be used to illuminate either or both of those paradoxes and the phenomena of rationality and vagueness with which they, respectively, are bound up? In particular, if we consider the analogy alongside a familiar response to the Preface Paradox that employs degrees of belief, does this give any support to the thought that we should adopt some kind of degree-theoretic treatment of vagueness and the sorites? (...)
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  27. What is the Value of Vagueness?David Lanius - 2021 - Theoria 87 (3):752-780.
    Classically, vagueness has been considered something bad. It leads to the Sorites paradox, borderline cases, and the (apparent) violation of the logical principle of bivalence. Nevertheless, there have always been scholars claiming that vagueness is also valuable. Many have pointed out that we could not communicate as successfully or efficiently as we do if we would not use vague language. Indeed, we often use vague terms when we could have used more precise ones instead. Many scholars (implicitly or explicitly) assume (...)
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  28. Interview with Paul Égré.Lina M. Lissia - 2021 - The Reasoner 15 (1):1-3.
  29. Inclosure and Intolerance.Sergi Oms & Elia Zardini - 2021 - Notre Dame Journal of Formal Logic 62 (2):201-220.
    Graham Priest has influentially claimed that the Sorites paradox is an Inclosure paradox, concluding that his favored dialetheic solution to the Inclosure paradoxes should be extended to the Sorites paradox. We argue that, given Priest’s dialetheic solution to the Sorites paradox, the argument purporting to show that that paradox is an Inclosure is unsound, and discuss some issues surrounding this fact.
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  30. A Response to Chisholm’s Paradox.Andrew Dennis Bassford - 2020 - Philosophical Studies 177 (4):1137-1155.
    Essentialists suppose that for every individual, if that individual exists at any possible world, then necessarily that individual exemplifies some non-trivial qualitative property essential to it, as such. Anti-essentialists deny this. One important argument leveled by some anti-essentialists against essentialism takes the form of a thought experiment, one originally introduced by Roderick Chisholm, sometimes referred to as Chisholm's Paradox (CP). In this essay, I defend essentialism against CP. I begin by presenting the argument and showing how it leads to a (...)
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  31. 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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  32. 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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  33. Defeasible Tolerance and the Sorites.Ivan Hu - 2020 - Journal of Philosophy 117 (4):181-218.
    I propose a novel solution to the Sorites Paradox. The account vindicates the tolerance of vague predicates in a way that properly addresses the normativity of vagueness while avoiding sorites contradiction, by treating sorites reasoning as a type of defeasible reasoning. I show how this can be done within the setting of a nonmonotonic deontic logic. Central to the proposal is its deontic interpretation of tolerance. I draw a key distinction between two types of tolerance, based on different deontic notions, (...)
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  34. A Teoria Supervalorativista da Vagueza e o Problema da Precisão.Sagid Salles - 2020 - In Marcus José Alves de Souza & Maxwell Morais de Lima Filho (ed.), Escritos de Filosofia IV: Linguagem e Cognição. Porto Alegre, RS, Brasil: pp. 100-119.
    O fenômeno da vagueza é quase onipresente na linguagem natural. Por um lado, a vagueza abrange variadas categorias lógicas, incluindo predicados, termos singulares e quantificadores. Por outro, é argumentável que a maioria das expressões em cada uma destas categorias, principalmente termos singulares e predicados, é vaga. Isto não seria um problema, não tivesse o fenômeno da vagueza relacionado ao paradoxo sorites, que supostamente mostra a incoerência destas expressões. O Supervalorativismo fornece uma explicação do fenômeno, acompanhado de uma solução do paradoxo, (...)
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  35. The Sorites Paradox in Practical Philosophy.Hrafn Asgeirsson - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge, UK: Cambridge University Press. pp. 229–245.
    The first part of the chapter surveys some of the main ways in which the Sorites Paradox has figured in arguments in practical philosophy in recent decades, with special attention to arguments where the paradox is used as a basis for criticism. Not coincidentally, the relevant arguments all involve the transitivity of value in some way. The second part of the chapter is more probative, focusing on two main themes. First, I further address the relationship between the Sorites Paradox and (...)
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  36. Tolerance and the distributed sorites.Zach Barnett - 2019 - Synthese 196 (3):1071-1077.
    On some accounts of vagueness, predicates like “is a heap” are tolerant. That is, their correct application tolerates sufficiently small changes in the objects to which they are applied. Of course, such views face the sorites paradox, and various solutions have been proposed. One proposed solution involves banning repeated appeals to tolerance, while affirming tolerance in any individual case. In effect, this solution rejects the reasoning of the sorites argument. This paper discusses a thorny problem afflicting this approach to vagueness. (...)
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  37. Contextualism and the Sorites paradox.Inga Bones & Diana Raman - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  38. Supervaluationism, Subvaluationism and the Sorites Paradox.Pablo Cobreros & Luca Tranchini - 2019 - In Elia Zardini & Sergi Oms (eds.), The Sorites Paradox. Cambridge, Reino Unido: Cambridge University Press. pp. 38-62.
    One way in which we might approach the challenge posed by the Sorites Paradox is considering that Sorites-susceptible predicates have several candidate extensions, or several ways in which these expressions can be made precise. For example, a candidate extension for the predicate ‘is a baby’ is the set of humans of less than two years, but also the set of those less than two years and one second, and of those less than two years and two seconds. In this chapter (...)
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  39. Incoherentism and the Sorites Paradox.Matti Eklund - 2019 - In Elia Zardini & Sergi Oms (eds.), The Sorites Paradox. Cambridge University Press.
  40. The Sorites paradox in psychology.Paul Égré, David Ripley & Steven Verheyen - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  41. Rampant Non‐Factualism: A Metaphysical Framework and its Treatment of Vagueness.Alexander Jackson - 2019 - Analytic Philosophy 60 (2):79-108.
    Rampant non-factualism is the view that all non-fundamental matters are non-factual, in a sense inspired by Kit Fine (2001). The first half of this paper argues that if we take non-factualism seriously for any matters, such as morality, then we should take rampant non-factualism seriously. The second half of the paper argues that rampant non-factualism makes possible an attractive theory of vagueness. We can give non-factualist accounts of non-fundamental matters that nicely characterize the vagueness they manifest (if any). I suggest (...)
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  42. The Sorites paradox in linguistics.Chris Kennedy - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  43. Chain-Arguments and the Sorites Paradox.Ran Lanzet - 2019 - Australasian Journal of Philosophy 97 (3):589-604.
    A finite chain of valid arguments can never lead from truth to falsehood. Call this the concatenation principle, or CP. Some propose to reject CP in response to the sorites paradox. I offer...
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  44. Epistemicism and the Sorites paradox.Ofra Magidor - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  45. The Sorites paradox in philosophy of logic.Sergi Oms - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  46. The Sorites Paradox.Sergi Oms & Elia Zardini (eds.) - 2019 - New York, NY: Cambridge University Press.
    For centuries, the Sorites Paradox has spurred philosophers to think and argue about the problem of vagueness. This volume offers a guide to the paradox which is both an accessible survey and an exposition of the state of the art, with a chapter-by-chapter presentation of all of the main solutions to the paradox and of all its main areas of influence. Each chapter offers a gentle introduction to its topic, gradually building up to a final discussion of some open problems. (...)
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  47. Degree theory and the Sorites paradox.Francesco Paoli - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  48. Dialetheism and the Sorites paradox.Graham Priest - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  49. Rejection of excluded middle and the Sorites paradox.Scott Soames - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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  50. Intuitionism and the Sorites paradox.Crispin Wright - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. Cambridge University Press.
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1 — 50 / 187