Results for ' naïve proof'

948 found
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  1. (1 other version)Naïve Proof and Curry’s Paradox.Massimiliano Carrara - 2018 - In Carrara Massimiliano (ed.), From Arithmetic to Metaphysics. A Path through Philosophical Logic. Walter de Gruyter GmbH. pp. 61-68.
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  2. A Note on Gödel, Priest and Naïve Proof.Massimiliano Carrara - forthcoming - Logic and Logical Philosophy:1.
    In the 1951 Gibbs lecture, Gödel asserted his famous dichotomy, where the notion of informal proof is at work. G. Priest developed an argument, grounded on the notion of naïve proof, to the effect that Gödel’s first incompleteness theorem suggests the presence of dialetheias. In this paper, we adopt a plausible ideal notion of naïve proof, in agreement with Gödel’s conception, superseding the criticisms against the usual notion of naïve proof used by real (...)
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  3. A representationalist reading of Kantian intuitions.Ayoob Shahmoradi - 2021 - Synthese 198 (3):2169-2191.
    There are passages in Kant’s writings according to which empirical intuitions have to be (a) singular, (b) object-dependent, and (c) immediate. It has also been argued that empirical intuitions (d) are not truth-apt, and (e) need to provide the subject with a proof of the possibility of the cognized object. Having relied on one or another of the a-e constraints, the naïve realist readers of Kant have argued that it is not possible for empirical intuitions to be representations. (...)
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  4. Paths to Triviality.Tore Fjetland Øgaard - 2016 - Journal of Philosophical Logic 45 (3):237-276.
    This paper presents a range of new triviality proofs pertaining to naïve truth theory formulated in paraconsistent relevant logics. It is shown that excluded middle together with various permutation principles such as A → (B → C)⊩B → (A → C) trivialize naïve truth theory. The paper also provides some new triviality proofs which utilize the axioms ((A → B)∧ (B → C)) → (A → C) and (A → ¬A) → ¬A, the fusion connective and the Ackermann (...)
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  5. Individual nutritional self-sufficiency: a viable option in the present era.Alik Pelman, Ohad Nachtomy & Yohay Carmel - 2024 - Frontiers in Sustainable Food Systems 8 (1424879):1-6.
    At the present state of industrialized agriculture and specialized economy, achieving nutritional self-sufficiency on a personal level is widely considered a naïve goal, unsuited to the present technological era. Furthermore, nutritional self-sufficiency is considered overly demanding in terms of training, land, labor intensity, and time requirements. This study contests these common notions. Drawing on a study of a small (approximately 0.075 ha) low-input self-sufficient farm in an industrialized country, we show that achieving nutritional self-sufficiency on this farm required modest (...)
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  6. Some Highs and Lows of Hylomorphism: On a Paradox about Property Abstraction.Teresa Robertson Ishii & Nathan Salmón - 2020 - Philosophical Studies 177 (6):1549-1563.
    We defend hylomorphism against Maegan Fairchild’s purported proof of its inconsistency. We provide a deduction of a contradiction from SH+, which is the combination of “simple hylomorphism” and an innocuous premise. We show that the deduction, reminiscent of Russell’s Paradox, is proof-theoretically valid in classical higher-order logic and invokes an impredicatively defined property. We provide a proof that SH+ is nevertheless consistent in a free higher-order logic. It is shown that the unrestricted comprehension principle of property abstraction (...)
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  7. Curry’s Paradox and ω -Inconsistency.Andrew Bacon - 2013 - Studia Logica 101 (1):1-9.
    In recent years there has been a revitalised interest in non-classical solutions to the semantic paradoxes. In this paper I show that a number of logics are susceptible to a strengthened version of Curry's paradox. This can be adapted to provide a proof theoretic analysis of the omega-inconsistency in Lukasiewicz's continuum valued logic, allowing us to better evaluate which logics are suitable for a naïve truth theory. On this basis I identify two natural subsystems of Lukasiewicz logic which (...)
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  8. L'infinité des nombres premiers : une étude de cas de la pureté des méthodes.Andrew Arana - 2011 - Les Etudes Philosophiques 97 (2):193.
    Une preuve est pure si, en gros, elle ne réfère dans son développement qu’à ce qui est « proche » de, ou « intrinsèque » à l’énoncé à prouver. L’infinité des nombres premiers, un théorème classique de l’arithmétique, est un cas d’étude particulièrement riche pour les recherches philosophiques sur la pureté. Deux preuves différentes de ce résultat sont ici considérées, à savoir la preuve euclidienne classique et une preuve « topologique » plus récente proposée par Furstenberg. D’un point de vue (...)
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  9. (1 other version)Review of M. Giaquinto's Visual thinking in mathematics. [REVIEW]Andrew Arana - 2009 - Analysis 69 (2):401-403.
    Our visual experience seems to suggest that no continuous curve can cover every point of the unit square, yet in the late nineteenth century Giuseppe Peano proved that such a curve exists. Examples like this, particularly in analysis (in the sense of the infinitesimal calculus) received much attention in the nineteenth century. They helped instigate what Hans Hahn called a “crisis of intuition”, wherein visual reasoning in mathematics came to be thought to be epistemically problematic. Hahn described this “crisis” as (...)
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  10. VII—Naive Realism and Diaphaneity.Craig French - 2018 - Proceedings of the Aristotelian Society 118 (2):149-175.
    Naïve Realists think that the ordinary mind-independent objects that we perceive are constitutive of the character of experience. Some understand this in terms of the idea that experience is diaphanous: that the conscious character of a perceptual experience is entirely constituted by its objects. My main goal here is to argue that Naïve Realists should reject this, but I’ll also highlight some suggestions as to how Naïve Realism might be developed in a non-diaphanous direction.
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  11. How Naïve Realism can Explain Both the Particularity and the Generality of Experience.Craig French & Anil Gomes - 2019 - Philosophical Quarterly 69 (274):41-63.
    Visual experiences seem to exhibit phenomenological particularity: when you look at some object, it – that particular object – looks some way to you. But experiences exhibit generality too: when you look at a distinct but qualitatively identical object, things seem the same to you as they did in seeing the first object. Naïve realist accounts of visual experience have often been thought to have a problem with each of these observations. It has been claimed that naïve realist (...)
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  12. Whither naive realism? - I.Alex Byrne & E. J. Green - 2023 - Philosophical Perspectives (1):1-20.
    Different authors offer subtly different characterizations of naïve realism. We disentangle the main ones and argue that illusions provide the best proving ground for naïve realism and its main rival, representationalism. According to naïve realism, illusions never involve per- ceptual error. We assess two leading attempts to explain apparent perceptual error away, from William Fish and Bill Brewer, and conclude that they fail. Another lead- ing attempt is assessed in a companion paper, which also sketches an alternative (...)
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  13. Must naive realists be relationalists?Maarten Steenhagen - 2019 - European Journal of Philosophy 27 (4):1002-1015.
    Relationalism maintains that perceptual experience involves, as part of its nature, a distinctive kind of conscious perceptual relation between a subject of experience and an object of experience. Together with the claim that perceptual experience is presentational, relationalism is widely believed to be a core aspect of the naive realist outlook on perception. This is a mistake. I argue that naive realism about perception can be upheld without a commitment to relationalism.
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  14. Naïve realism and phenomenal similarity.Sam Clarke & Alfonso Anaya - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy 66 (5):885-902.
    It has been claimed that naïve realism predicts phenomenological similarities where there are none and, thereby, mischaracterises the phenomenal character of perceptual experience. If true, this undercuts a key motivation for the view. Here, we defend naïve realism against this charge, proposing that such arguments fail (three times over). In so doing, we highlight a more general problem with critiques of naïve realism that target the purported phenomenological predictions of the view. The problem is: naïve realism, (...)
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  15. Naïve Realism, Hallucination, and Causation: A New Response to the Screening Off Problem.Alex Moran - 2019 - Australasian Journal of Philosophy 97 (2):368-382.
    This paper sets out a novel response to the ‘screening off problem’ for naïve realism. The aim is to resist the claim (which many naïve realists accept) that the kind of experience involved in hallucinating also occurs during perception, by arguing that there are causal constraints that must be met if an hallucinatory experience is to occur that are never met in perceptual cases. Notably, given this response, it turns out that, contra current orthodoxy, naïve realists need (...)
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  16. Naïve Realism, Seeing Stars, and Perceiving the Past.Alex Moran - 2018 - Pacific Philosophical Quarterly 100 (1):202-232.
    It seems possible to see a star that no longer exists. Yet it also seems right to say that what no longer exists cannot be seen. We therefore face a puzzle, the traditional answer to which involves abandoning naïve realism in favour of a sense datum view. In this article, however, I offer a novel exploration of the puzzle within a naïve realist framework. As will emerge, the best option for naïve realists is to embrace an eternalist (...)
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  17. Naïve realism about unconscious perception.Paweł Jakub Zięba - 2019 - Synthese 196 (5):2045-2073.
    Recently, it has been objected that naïve realism is inconsistent with an empirically well-supported claim that mental states of the same fundamental kind as ordinary conscious seeing can occur unconsciously (SFK). The main aim of this paper is to establish the following conditional claim: if SFK turns out to be true, the naïve realist can and should accommodate it into her theory. Regarding the antecedent of this conditional, I suggest that empirical evidence renders SFK plausible but not obvious. (...)
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  18. Naïve Realism and the Cognitive Penetrability of Perception.Dan Cavedon-Taylor - 2018 - Analytic Philosophy 59 (3):391-412.
    Perceptual experience has representational content. My argument for this claim is an inference to the best explanation. The explanandum is cognitive penetration. In cognitive penetration, perceptual experiences are either causally influenced, or else are partially constituted, by mental states that are representational, including: mental imagery, beliefs, concepts and memories. If perceptual experiences have representational content, then there is a background condition for cognitive penetration that renders the phenomenon prima facie intelligible. Naïve realist or purely relational accounts of perception leave (...)
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  19. Naïve Realism in Kantian Phrase.Anil Gomes - 2017 - Mind 126 (502):529-578.
    Early twentieth-century philosophers of perception presented their naïve realist views of perceptual experience in anti-Kantian terms. For they took naïve realism about perceptual experience to be incompatible with Kant’s claims about the way the understanding is necessarily involved in perceptual consciousness. This essay seeks to situate a naïve realist account of visual experience within a recognisably Kantian framework by arguing that a naïve realist account of visual experience is compatible with the claim that the understanding is (...)
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  20. Naïve realism and unconscious perception: A reply to Berger and Nanay.Alfonso Anaya & Sam Clarke - 2017 - Analysis 77 (2):267-273.
    In a recent paper, Berger and Nanay consider, and reject, three ways of addressing the phenomenon of unconscious perception within a naïve realist framework. Since these three approaches seem to exhaust the options open to naïve realists, and since there is said to be excellent evidence that perception of the same fundamental kind can occur, both consciously and unconsciously, this is seen to present a problem for the view. We take this opportunity to show that all three approaches (...)
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  21. Whither naive realism? - II.Alex Byrne & Ej Green - forthcoming - In Ori Beck & Farid Masrour (eds.), The Relational View of Perception: New Essays. Routledge.
    In a companion paper (Byrne and Green 2023) we disentangled the main characterizations of naïve realism and argued that illusions provide the best proving ground for naïve realism and its main rival, representationalism. According to naïve realism, illusions never involve perceptual error. We assessed two leading attempts to explain apparent perceptual error away, from William Fish and Bill Brewer, and concluded that they fail. This paper considers another prominent attempt, from Craig French and Ian Phillips, and also (...)
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  22. Naive Realism for Unconscious Perceptions.Ori Beck - 2022 - Erkenntnis 87 (3):1175-1190.
    Unconscious perceptions have recently become a focal point in the debate for and against naive realism. In this paper I defend the naive realist side. More specifically, I use an idea of Martin’s to develop a new version of naive realism—neuro-computational naive realism. I argue that neuro-computational naive realism offers a uniform treatment of both conscious and unconscious perceptions. I also argue that it accommodates the possibility of phenomenally different conscious perceptions of the same items, and that it can answer (...)
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  23. Naïve Realism and Illusion.Boyd Millar - 2015 - Ergo: An Open Access Journal of Philosophy 2:607-625.
    It is well-known that naïve realism has difficulty accommodating perceptual error. Recent discussion of the issue has focused on whether the naïve realist can accommodate hallucination by adopting disjunctivism. However, illusions are more difficult for the naïve realist to explain precisely because the disjunctivist solution is not available. I discuss what I take to be the two most plausible accounts of illusion available to the naïve realist. The first claims that illusions are cases in which you (...)
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  24. Naïve Realism and Minimal Self.Daniel S. H. Kim - 2022 - Phenomenology and Mind 22 (22):150-159.
    This paper defends the idea that phenomenological approaches to self-consciousness can enrich the current analytic philosophy of perception, by showing how phenomenological discussions of minimal self-consciousness can enhance our understanding of the phenomenology of conscious perceptual experiences. As a case study, I investigate the nature of the relationship between naïve realism, a contemporary Anglophone theory of perception, and experiential minimalism (or, the ‘minimal self’ view), a pre-reflective model of self-consciousness originated in the Phenomenological tradition. I argue that naïve (...)
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  25. Naïve Realism, the Slightest Philosophy, and the Slightest Science (2nd edition).Craig French & Phillips Ian - 2023 - In Jonathan Cohen & Brian McLaughlin (eds.), Contemporary Debates in the Philosophy of Mind. Blackwell. pp. 363-383.
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  26. Recent Work on Naive Realism.James Genone - 2016 - American Philosophical Quarterly 53 (1).
    Naïve realism, often overlooked among philosophical theories of perception, has in recent years attracted a surge of interest. Broadly speaking, the central commitment of naïve realism is that mind-independent objects are essential to the fundamental analysis of perceptual experience. Since the claims of naïve realism concern the essential metaphysical structure of conscious perception, its truth or falsity is of central importance to a wide range of topics, including the explanation of semantic reference and representational content, the nature (...)
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  27. (1 other version)Naive Realist Perspectives on Seeing Blurrily.Craig French - 2014 - Ratio 27 (4):393-413.
    Naive realists hold that experience is to be understood in terms of an intimate perceptual relation between a subject and aspects of the world, relative to a certain standpoint. Those aspects of the world themselves shape the contours of consciousness. But blurriness is an aspect of some of our experiences that does not seem to come from the world. I argue that this constitutes a significant challenge to some forms of naive realism. But I also argue that there is a (...)
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  28. Naïve Realism and Sensorimotor Theory.Daniel S. H. Kim - 2024 - Synthese 204 (105):1-22.
    How can we have a sense of the presence of ordinary three-dimensional objects (e.g., an apple on my desk, a partially occluded cat behind a picket fence) when we are only presented with some parts of objects perceived from a particular egocentric viewpoint (e.g., the facing side of the apple, the unoccluded parts of the cat)? This paper presents and defends a novel answer to this question by incorporating insights from two prominent contemporary theories of perception, naïve realism and (...)
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  29. Naive Realism and the Science of Consciousness (2018).Adam Pautz - manuscript
    I begin by describing what I call simple naïve realism. Then I describe relevant empirical results. Next, I develop two new empirical arguments against simple naive realism. Then I briefly look at two new, more complex forms of naïve realism: one due to Keith Allen and the other due to Heather Logue and Ori Beck. I argue that they are not satisfactory retreats for naive realists. The right course is to reject naive realism altogether. My stalking horse is (...)
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  30. Faithfulness for naive validity.Ulf Hlobil - 2019 - Synthese 196 (11):4759-4774.
    Nontransitive responses to the validity Curry paradox face a dilemma that was recently formulated by Barrio, Rosenblatt and Tajer. It seems that, in the nontransitive logic ST enriched with a validity predicate, either you cannot prove that all derivable metarules preserve validity, or you can prove that instances of Cut that are not admissible in the logic preserve validity. I respond on behalf of the nontransitive approach. The paper argues, first, that we should reject the detachment principle for naive validity. (...)
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  31. Naive Realism v Representationalism: An Argument from Science.Adam Pautz - 2007 - In Brian P. McLaughlin & Jonathan Cohen (eds.), Contemporary Debates in Philosophy of Mind. Wiley-Blackwell.
    This paper elaborates on an argument in my book *Perception*. It has two parts. In the first part, I argue against what I call "basic" naive realism, on the grounds that it fails to accommodate what I call "internal dependence" and it requires an empirically implausible theory of sensible properties. Then I turn Craig French and Ian Phillips’ modified naïve realism as set out in their recent paper "Austerity and Illusion". It accommodates internal dependence. But it may retain the (...)
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  32. Why Naive Realism?Heather Logue - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):211-237.
    Much of the discussion of Naive Realism about veridical experience has focused on a consequence of adopting it—namely, disjunctivism about perceptual experience. However, the motivations for being a Naive Realist in the first place have received relatively little attention in the literature. In this paper, I will elaborate and defend the claim that Naive Realism provides the best account of the phenomenal character of veridical experience.
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  33. Our Naïve Representation of Time and of the Open Future.Batoul Hodroj, Andrew J. Latham & Kristie Miller - forthcoming - Dialectica.
    It’s generally thought that we naively or pre-theoretically represent the future to be open. While philosophers have modelled future openness in different ways, it’s unclear which, if any, captures our naïve sense that the future is open. In this paper we focus on just one way the future might count as being open: by being nomically open, and empirically investigate whether our naïve representation of the future as open is partly constituted by representing the future as nomically open. (...)
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  34. (1 other version)Criminal Proof: Fixed or Flexible?Lewis Ross - 2023 - Philosophical Quarterly (4):1-23.
    Should we use the same standard of proof to adjudicate guilt for murder and petty theft? Why not tailor the standard of proof to the crime? These relatively neglected questions cut to the heart of central issues in the philosophy of law. This paper scrutinises whether we ought to use the same standard for all criminal cases, in contrast with a flexible approach that uses different standards for different crimes. I reject consequentialist arguments for a radically flexible standard (...)
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  35. Proof-Theoretic Semantics and Inquisitive Logic.Will Stafford - 2021 - Journal of Philosophical Logic 50 (5):1199-1229.
    Prawitz conjectured that proof-theoretic validity offers a semantics for intuitionistic logic. This conjecture has recently been proven false by Piecha and Schroeder-Heister. This article resolves one of the questions left open by this recent result by showing the extensional alignment of proof-theoretic validity and general inquisitive logic. General inquisitive logic is a generalisation of inquisitive semantics, a uniform semantics for questions and assertions. The paper further defines a notion of quasi-proof-theoretic validity by restricting proof-theoretic validity to (...)
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  36. Naïve validity.Julien Murzi & Lorenzo Rossi - 2017 - Synthese 199 (Suppl 3):819-841.
    Beall and Murzi :143–165, 2013) introduce an object-linguistic predicate for naïve validity, governed by intuitive principles that are inconsistent with the classical structural rules. As a consequence, they suggest that revisionary approaches to semantic paradox must be substructural. In response to Beall and Murzi, Field :1–19, 2017) has argued that naïve validity principles do not admit of a coherent reading and that, for this reason, a non-classical solution to the semantic paradoxes need not be substructural. The aim of (...)
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  37. Naïve Realism and the Relationality of Phenomenal Character.Roberta Locatelli - 2023 - Topoi 43 (1).
    Naïve realism (also called ‘relationalism’ or ‘object view’) is becoming increasingly popular, but the specific outline of its commitments remains often underspecified by proponents and misunderstood by critics. Naïve realism is associated with two claims, both concerning genuine, veridical perceptual experience (where this excludes hallucinations). Constitutive Claim (CC): The phenomenal character of perception is (partly) constituted by the mind-independent objects in one’s surrounding and their properties. Relational Claim (RC): Perception is a relation to mind-independent objects in the environment (...)
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  38. Prospects for a Naive Theory of Classes.Hartry Field, Harvey Lederman & Tore Fjetland Øgaard - 2017 - Notre Dame Journal of Formal Logic 58 (4):461-506.
    The naive theory of properties states that for every condition there is a property instantiated by exactly the things which satisfy that condition. The naive theory of properties is inconsistent in classical logic, but there are many ways to obtain consistent naive theories of properties in nonclassical logics. The naive theory of classes adds to the naive theory of properties an extensionality rule or axiom, which states roughly that if two classes have exactly the same members, they are identical. In (...)
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  39. Reviving the naïve realist approach to memory.André Sant'Anna & Michael Barkasi - 2022 - Philosophy and the Mind Sciences 3.
    The viability of a naïve realist theory of memory was a lively debate for philosophers of mind in the first half of the twentieth century. More recently, though, naïve realism has been largely abandoned as a non-starter in the memory literature, with representationalism being the standard view held by philosophers of memory. But rather than being carefully argued, the dismissal of naïve realism is an assumption that sits at the back of much recent theorizing in the philosophy (...)
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  40. Proof Paradoxes and Normic Support: Socializing or Relativizing?Marcello Di Bello - 2020 - Mind 129 (516):1269-1285.
    Smith argues that, unlike other forms of evidence, naked statistical evidence fails to satisfy normic support. This is his solution to the puzzles of statistical evidence in legal proof. This paper focuses on Smith’s claim that DNA evidence in cold-hit cases does not satisfy normic support. I argue that if this claim is correct, virtually no other form of evidence used at trial can satisfy normic support. This is troublesome. I discuss a few ways in which Smith can respond.
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  41. 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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  42. Naïve Truth and the Evidential Conditional.Andrea Iacona & Lorenzo Rossi - 2024 - Journal of Philosophical Logic 53 (2):559-584.
    This paper develops the idea that valid arguments are equivalent to true conditionals by combining Kripke’s theory of truth with the evidential account of conditionals offered by Crupi and Iacona. As will be shown, in a first-order language that contains a naïve truth predicate and a suitable conditional, one can define a validity predicate in accordance with the thesis that the inference from a conjunction of premises to a conclusion is valid when the corresponding conditional is true. The validity (...)
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  43. Naïve Realism and Phenomenal Intentionality.Takuya Niikawa - 2020 - Philosophia 49 (3):1127-1143.
    This paper argues for the conjunctive thesis of naïve realism and phenomenal intentionalism about perceptual experiences. Naïve realism holds that the phenomenology of veridical perceptual experience is constituted by environmental objects that the subject perceives. Phenomenal intentionalism about perceptual experience states that perceptual experience has intentionality in virtue of its phenomenology. I first argue that naïve realism is not incompatible with phenomenal intentionalism. I then argue that phenomenal intentionalists can handle two objections to it by adopting (...) realism: the first objection is that phenomenal intentionalism cannot explain how a veridical perceptual experience is directed at a particular object rather than any other object of the same kind. The second objection is that phenomenal intentionalism cannot explain how a perceptual experience is directed at a type of external object rather than other types of objects without appealing to a resemblance relation between a perceptual experience and an external object, which is considered to be problematic. (shrink)
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  44. Naive Russellians and Schiffer’s Puzzle.Stefan Rinner - 2020 - Erkenntnis 87 (2):787-806.
    Neo-Russellians like Salmon and Braun hold that: the semantic contents of sentences are structured propositions whose basic components are objects and properties, names are directly referential terms, and a sentence of the form ‘n believes that S’ is true in a context c iff the referent of the name n in c believes the proposition expressed by S in c. This is sometimes referred to as ‘the Naive Russellian theory’. In this talk, I will discuss the Naive Russellian theory primarily (...)
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  45. Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality.Nils Kürbis - 2015 - Journal of Philosophical Logic 44 (6):713-727.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings (...)
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  46. Legal Burdens of Proof and Statistical Evidence.Georgi Gardiner - 2018 - In David Coady & James Chase (eds.), Routledge Handbook of Applied Epistemology. New York: Routledge, Taylor & Francis Group.
    In order to perform certain actions – such as incarcerating a person or revoking parental rights – the state must establish certain facts to a particular standard of proof. These standards – such as preponderance of evidence and beyond reasonable doubt – are often interpreted as likelihoods or epistemic confidences. Many theorists construe them numerically; beyond reasonable doubt, for example, is often construed as 90 to 95% confidence in the guilt of the defendant. -/- A family of influential cases (...)
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  47. Proof Beyond a Reasonable Doubt: A Balanced Retributive Account.Alec Walen - 2015 - Louisiana Law Review 76 (2):355-446.
    The standard of proof in criminal trials in many liberal democracies is proof beyond a reasonable doubt, the BARD standard. It is customary to describe it, when putting a number on it, as requiring that the fact finder be at least 90% certain, after considering the evidence, that the defendant is guilty. Strikingly, no good reason has yet been offered in defense of using that standard. A number of non-consequentialist justifications that aim to support an even higher standard (...)
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  48. Proof Theory of Finite-valued Logics.Richard Zach - 1993 - Dissertation, Technische Universität Wien
    The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of (...)
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  49. Proofs of God in Early Modern Europe.Lloyd Strickland - 2018 - Waco, TX, USA: Baylor University Press. Edited by Lloyd Strickland.
    Proofs of God in Early Modern Europe offers a fascinating window into early modern efforts to prove God’s existence. Assembled here are twenty-two key texts, many translated into English for the first time, which illustrate the variety of arguments that philosophers of the seventeenth and eighteenth centuries offered for God. These selections feature traditional proofs—such as various ontological, cosmological, and design arguments—but also introduce more exotic proofs, such as the argument from eternal truths, the argument from universal aseity, and the (...)
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  50. Probabilistic Proofs, Lottery Propositions, and Mathematical Knowledge.Yacin Hamami - 2021 - Philosophical Quarterly 72 (1):77-89.
    In mathematics, any form of probabilistic proof obtained through the application of a probabilistic method is not considered as a legitimate way of gaining mathematical knowledge. In a series of papers, Don Fallis has defended the thesis that there are no epistemic reasons justifying mathematicians’ rejection of probabilistic proofs. This paper identifies such an epistemic reason. More specifically, it is argued here that if one adopts a conception of mathematical knowledge in which an epistemic subject can know a mathematical (...)
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