Results for 'Paraconsistency'

112 found
Order:
  1. Paraconsistent Dynamics.Patrick Girard & Koji Tanaka - 2016 - Synthese 193 (1):1-14.
    It has been an open question whether or not we can define a belief revision operation that is distinct from simple belief expansion using paraconsistent logic. In this paper, we investigate the possibility of meeting the challenge of defining a belief revision operation using the resources made available by the study of dynamic epistemic logic in the presence of paraconsistent logic. We will show that it is possible to define dynamic operations of belief revision in a paraconsistent setting.
    Download  
     
    Export citation  
     
    Bookmark   9 citations  
  2. Paraconsistency: Logic and Applications.Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.) - 2013 - Springer.
    A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  3.  6
    Paraconsistent Sensitivity Analysis for Bayesian Significance Tests.Julio Michael Stern - 2004 - Lecture Notes in Artificial Intelligence 3171:134-143.
    In this paper, the notion of degree of inconsistency is introduced as a tool to evaluate the sensitivity of the Full Bayesian Significance Test (FBST) value of evidence with respect to changes in the prior or reference density. For that, both the definition of the FBST, a possibilistic approach to hypothesis testing based on Bayesian probability procedures, and the use of bilattice structures, as introduced by Ginsberg and Fitting, in paraconsistent logics, are reviewed. The computational and theoretical advantages of using (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  4. What is a Paraconsistent Logic?Damian Szmuc, Federico Pailos & Eduardo Barrio - 2018 - In Jacek Malinowski & Walter Carnielli (eds.), Contradictions, from Consistency to Inconsistency. Springer Verlag.
    Paraconsistent logics are logical systems that reject the classical principle, usually dubbed Explosion, that a contradiction implies everything. However, the received view about paraconsistency focuses only the inferential version of Explosion, which is concerned with formulae, thereby overlooking other possible accounts. In this paper, we propose to focus, additionally, on a meta-inferential version of Explosion, i.e. which is concerned with inferences or sequents. In doing so, we will offer a new characterization of paraconsistency by means of which a (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  5.  59
    A Paraconsistent Route to Semantic Closure.Eduardo Alejandro Barrio, Federico Matias Pailos & Damian Enrique Szmuc - 2017 - Logic Journal of the IGPL 25 (4):387-407.
    In this paper, we present a non-trivial and expressively complete paraconsistent naïve theory of truth, as a step in the route towards semantic closure. We achieve this goal by expressing self-reference with a weak procedure, that uses equivalences between expressions of the language, as opposed to a strong procedure, that uses identities. Finally, we make some remarks regarding the sense in which the theory of truth discussed has a property closely related to functional completeness, and we present a sound and (...)
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  6. Paraconsistent Belief Revision Based on a Formal Consistency Operator.Rafael R. Testa, Marcelo E. Coniglio & Márcio M. Ribeiro - 2015 - CLE E-Prints 15 (8):01-11.
    In this paper two systems of AGM-like Paraconsistent Belief Revision are overviewed, both defined over Logics of Formal Inconsistency (LFIs) due to the possibility of defining a formal consistency operator within these logics. The AGM° system is strongly based on this operator and internalize the notion of formal consistency in the explicit constructions and postulates. Alternatively, the AGMp system uses the AGM-compliance of LFIs and thus assumes a wider notion of paraconsistency - not necessarily related to the notion of (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  7. An Epistemic Interpretation of Paraconsistent Weak Kleene Logic.Damian E. Szmuc - forthcoming - Logic and Logical Philosophy:1.
    This paper extends Fitting's epistemic interpretation of some Kleene logics, to also account for Paraconsistent Weak Kleene logic. To achieve this goal, a dualization of Fitting's "cut-down" operator is discussed, rendering a "track-down" operator later used to represent the idea that no consistent opinion can arise from a set including an inconsistent opinion. It is shown that, if some reasonable assumptions are made, the truth-functions of Paraconsistent Weak Kleene coincide with certain operations defined in this track-down fashion. Finally, further reflections (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  8.  39
    Paraconsistent First-Order Logic with Infinite Hierarchy Levels of Contradiction.Jaykov Foukzon - manuscript
    In this paper paraconsistent first-order logic LP^{#} with infinite hierarchy levels of contradiction is proposed. Corresponding paraconsistent set theory KSth^{#} is discussed.Axiomatical system HST^{#}as paraconsistent generalization of Hrbacek set theory HST is considered.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  9.  11
    Paraconsistent Logic as Model Building.Ricardo Sousa Silvestre - 2018 - South American Journal of Logic 1 (4):195-217.
    The terms “model” and “model-building” have been used to characterize the field of formal philosophy, to evaluate philosophy’s and philosophical logic’s progress and to define philosophical logic itself. A model is an idealization, in the sense of being a deliberate simplification of something relatively complex in which several important aspects are left aside, but also in the sense of being a view too perfect or excellent, not found in reality, of this thing. Paraconsistent logic is a branch of philosophical logic. (...)
    Download  
     
    Export citation  
     
    Bookmark  
  10. Making Sense of Paraconsistent Logic: The Nature of Logic, Classical Logic and Paraconsistent Logic.Koji Tanaka - 2013 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 15--25.
    Max Cresswell and Hilary Putnam seem to hold the view, often shared by classical logicians, that paraconsistent logic has not been made sense of, despite its well-developed mathematics. In this paper, I examine the nature of logic in order to understand what it means to make sense of logic. I then show that, just as one can make sense of non-normal modal logics (as Cresswell demonstrates), we can make `sense' of paraconsistent logic. Finally, I turn the tables on classical logicians (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  11.  98
    On Partial and Paraconsistent Logics.Reinhard Muskens - 1999 - Notre Dame Journal of Formal Logic 40 (3):352-374.
    In this paper we consider the theory of predicate logics in which the principle of Bivalence or the principle of Non-Contradiction or both fail. Such logics are partial or paraconsistent or both. We consider sequent calculi for these logics and prove Model Existence. For L4, the most general logic under consideration, we also prove a version of the Craig-Lyndon Interpolation Theorem. The paper shows that many techniques used for classical predicate logic generalise to partial and paraconsistent logics once the right (...)
    Download  
     
    Export citation  
     
    Bookmark   13 citations  
  12. Twist-Valued Models for Three-Valued Paraconsistent Set Theory.Walter Carnielli & Marcelo E. Coniglio - manuscript
    Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the axioms of (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  13. Supervaluationism and Paraconsistency.Achille C. Varzi - 2000 - In Diderik Batens, Chris Mortensen, Graham Priest & Jean Paul Van Bendegem (eds.), Frontiers in Paraconsistent Logic. Research Studies Press. pp. 279–297.
    Since its first appearance in 1966, the notion of a supervaluation has been regarded by many as a powerful tool for dealing with semantic gaps. Only recently, however, applications to semantic gluts have also been considered. In previous work I proposed a general framework exploiting the intrinsic gap/glut duality. Here I also examine an alternative account where gaps and gluts are treated on a par: although they reflect opposite situations, the semantic upshot is the same in both cases--the value of (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  14. On Formal Aspects of the Epistemic Approach to Paraconsistency.Walter Carnielli, Marcelo E. Coniglio & Abilio Rodrigues - 2018 - In Max Freund, Max Fernandez de Castro & Marco Ruffino (eds.), Logic and Philosophy of Logic: Recent Trends in Latin America and Spain. London: College Publications. pp. 48-74.
    This paper reviews the central points and presents some recent developments of the epistemic approach to paraconsistency in terms of the preservation of evidence. Two formal systems are surveyed, the basic logic of evidence (BLE) and the logic of evidence and truth (LET J ), designed to deal, respectively, with evidence and with evidence and truth. While BLE is equivalent to Nelson’s logic N4, it has been conceived for a different purpose. Adequate valuation semantics that provide decidability are given (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  15.  69
    Remarks on the Epistemic Interpretation of Paraconsistent Logic.Nicolás Lo Guercio & Damian Szmuc - 2018 - Principia: An International Journal of Epistemology 22 (1):153-170.
    In a recent work, Walter Carnielli and Abilio Rodrigues present an epistemically motivated interpretation of paraconsistent logic. In their view, when there is conflicting evidence with regard to a proposition A (i.e. when there is both evidence in favor of A and evidence in favor of ¬A) both A and ¬A should be accepted without thereby accepting any proposition B whatsoever. Hence, reasoning within their system intends to mirror, and thus, should be constrained by, the way in which we reason (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  16. A Hierarchy of Classical and Paraconsistent Logics.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Journal of Philosophical Logic 49 (1):93-120.
    In this article, we will present a number of technical results concerning Classical Logic, ST and related systems. Our main contribution consists in offering a novel identity criterion for logics in general and, therefore, for Classical Logic. In particular, we will firstly generalize the ST phenomenon, thereby obtaining a recursively defined hierarchy of strict-tolerant systems. Secondly, we will prove that the logics in this hierarchy are progressively more classical, although not entirely classical. We will claim that a logic is to (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark   14 citations  
  17.  53
    क्या Paraconsistent, अनिर्णयीय, रैंडम, Computable और अधूरा मतलब है? है Godel रास्ता की समीक्षा: ग्रेगरी Chaitin, फ्रांसिस्को एक डोरिया, न्यूटन सी.ए. दा कोस्टा 160p (2012 की समीक्षा संशोधित 2019) द्वारा एक undecidable दुनिया में शोषण What Do Paraconsistent, Undecidable, Random, Computable and Incomplete mean? A Review of Godel's Way: Exploits into an undecidable world by Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa.Michael Richard Starks - 2020 - In पृथ्वी पर नर्क में आपका स्वागत है: शिशुओं, जलवायु परिवर्तन, बिटकॉइन, कार्टेल, चीन, लोकतंत्र, विविधता, समानता, हैकर्स, मानव अधिकार, इस्लाम, उदारवाद, समृद्धि, वेब, अराजकता, भुखमरी, बीमारी, हिंसा, कृत्रिम बुद्धिमत्ता, युद्ध. Las Vegas, NV, USA: Reality Press. pp. 198-214.
    'गोडेल के रास्ते' में तीन प्रख्यात वैज्ञानिकों ने अनिर्णय, अपूर्णता, यादृच्छिकता, गणनाऔरता और परासंगति जैसे मुद्दों पर चर्चा की। मैं Wittgensteinian दृष्टिकोण से इन मुद्दों दृष्टिकोण है कि वहाँ दो बुनियादी मुद्दों जो पूरी तरह से अलग समाधान है. वहाँ वैज्ञानिक या अनुभवजन्य मुद्दों, जो दुनिया के बारे में तथ्य है कि अवलोकन और दार्शनिक मुद्दों की जांच की जरूरत है के रूप में कैसे भाषा intelligibly इस्तेमाल किया जा सकता है (जो गणित और तर्क में कुछ सवाल शामिल हैं), (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  18. Priest’s Anti-Exceptionalism, Candrakīrti and Paraconsistency.Koji Tanaka - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Dordrecht: Springer Verlag. pp. 127-138.
    Priest holds anti-exceptionalism about logic. That is, he holds that logic, as a theory, does not have any exceptional status in relation to the theories of empirical sciences. Crucial to Priest’s anti-exceptionalism is the existence of ‘data’ that can force the revision of logical theory. He claims that classical logic is inadequate to the available data and, thus, needs to be revised. But what kind of data can overturn classical logic? Priest claims that the data is our intuitions about the (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  19. Замечания о невозможности, неполноте Paraconsistency, Нерешающость, Случайность вычислительности, парадокс, и неопределенность в Чайтин, Витгенштейн, Хофштадтер Вольперт, Дориа, да Коста, Годель, Сирл, Родыч Берто, Флойд, Мойал-Шаррок и Янофски.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    Принято считать, что невозможность, неполнота, Парапоследовательность, Несоответствие, Случайность, вычислительность, парадокс, неопределенность и пределы разума являются разрозненными научными физическими или математическими вопросами, имеющими мало или ничего общего. Я полагаю, что они в значительной степени стандартные философские проблемы (т.е. языковые игры), которые были в основном решены Витгенштейном более 80 лет назад. -/- Я предоставляю краткое резюме некоторых из основных выводов двух из самых выдающихся студентов поведения о Fсовременности, Людвиг Витгенштейн и Джон Сирл, на логическую структуру преднамеренности (ум, язык, поведение), принимая в качестве (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  20. Aspects of the Historical Development of Paraconsistent Logic.Ayda I. Arruda - 1989 - In G. Priest, R. Routley & J. Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. pp. 99--130.
    Download  
     
    Export citation  
     
    Bookmark   20 citations  
  21. Pernyataan tentang kemustahilan, ketidaklengkapan, Paraconsistency,Undecidability, Randomness, Komputabilitas, paradoks, dan ketidakpastian dalam Chaitin, Wittgenstein, Hofstadter, Wolpert, Doria, da Costa, Godel, Searle, Rodych, Berto, Floyd, Moyal-Sharrock dan Yanofsky.Michael Richard Starks - 2019 - Las Vegas, NV USA: Reality Press.
    Hal ini sering berpikir bahwa kemustahilan, ketidaklengkapan, Paraconsistency, Undecidability, Randomness, komputasi, Paradox, ketidakpastian dan batas alasan yang berbeda ilmiah fisik atau matematika masalah memiliki sedikit atau tidak ada dalam Umum. Saya menyarankan bahwa mereka sebagian besar masalah filosofis standar (yaitu, Permainan bahasa) yang sebagian besar diselesaikan oleh Wittgenstein lebih dari 80years yang lalu. -/- "Apa yang kita ' tergoda untuk mengatakan ' dalam kasus seperti ini, tentu saja, bukan filsafat, tetapi bahan baku. Jadi, misalnya, apa yang seorang matematikawan cenderung (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  22.  84
    What Do Paraconsistent, Undecidable, Random, Computable and Incomplete Mean? A Review of Godel's Way: Exploits Into an Undecidable World by Gregory Chaitin, Francisco A Doria, Newton C.A. Da Costa 160p (2012) (Review Revised 2019).Michael Starks - 2019 - In Suicidal Utopian Delusions in the 21st Century -- Philosophy, Human Nature and the Collapse of Civilization -- Articles and Reviews 2006-2019 4th Edition Michael Starks. Las Vegas, NV USA: Reality Press. pp. 278-293.
    In ‘Godel’s Way’ three eminent scientists discuss issues such as undecidability, incompleteness, randomness, computability and paraconsistency. I approach these issues from the Wittgensteinian viewpoint that there are two basic issues which have completely different solutions. There are the scientific or empirical issues, which are facts about the world that need to be investigated observationally and philosophical issues as to how language can be used intelligibly (which include certain questions in mathematics and logic), which need to be decided by looking (...)
    Download  
     
    Export citation  
     
    Bookmark  
  23. On Philosophical Motivations for Paraconsistency: An Ontology-Free Interpretation of the Logics of Formal Inconsistency.Walter Carnielli & Abilio Rodrigues - manuscript
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...)
    Download  
     
    Export citation  
     
    Bookmark  
  24. AGM-Like Paraconsistent Belief Change.Rafael R. Testa, Marcelo E. Coniglio & Marcio M. Ribeiro - 2017 - Logic Journal of the IGPL 25 (4):632-672.
    Two systems of belief change based on paraconsistent logics are introduced in this article by means of AGM-like postulates. The first one, AGMp, is defined over any paraconsistent logic which extends classical logic such that the law of excluded middle holds w.r.t. the paraconsistent negation. The second one, AGMo , is specifically designed for paraconsistent logics known as Logics of Formal Inconsistency (LFIs), which have a formal consistency operator that allows to recover all the classical inferences. Besides the three usual (...)
    Download  
     
    Export citation  
     
    Bookmark  
  25. Recovery Operators, Paraconsistency and Duality.Walter A. Carnielli, Marcelo E. Coniglio & Abilio Rodrigues Filho - forthcoming - Logic Journal of the IGPL.
    There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover (...)
    Download  
     
    Export citation  
     
    Bookmark  
  26.  47
    Apa yang Paraconsistent, tidak dapat diputuskan, acak, komputasi dan tidak lengkap mean? Sebuah Tinjauan “Godel ' s Way: eksploitasi ke dalam dunia tak terhalangkan” (Godel’s Way: exploits into an undecidable world) oleh Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa 160p (2012). [REVIEW]Michael Richard Starks - 2020 - Selamat Datang di Neraka di Bumi Bayi, Perubahan Iklim, Bitcoin, Kartel, Tiongkok, Demokrasi, Keragaman, Disgenik, Kesetaraan, Peretas, Hak Asasi Manusia, Islam, Liberalisme, Kemakmuran, Web, Kekacauan, Kelaparan, Penyakit, Kekerasan, Kecerdasan Buatan, P.
    Dalam ' Godel ' s Way ' tiga ilmuwan terkemuka membahas isu seperti undecidability, ketidaklengkapan, kekasaran, komputasi dan paraconsistency. Saya mendekati masalah ini dari sudut pandang Wittgensteinian bahwa ada dua masalah dasar yang memiliki solusi yang sama sekali berbeda. Ada masalah ilmiah atau empiris, yang merupakan fakta tentang dunia yang perlu diselidiki masalah observationally dan filosofis mengenai bagaimana bahasa dapat digunakan secara jelas (yang mencakup pertanyaan tertentu dalam matematika dan logika), yang perlu diputuskan dengan mencarit bagaimana kita benar-benar menggunakan (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  27.  34
    Que signifient Paraconsistent, Indécidable, Aléatoire, Computable et Incomplet? Un examen de "Godel’s Façon: des opérations dans un monde indécidable." (Godel’s Way: Exploits into an undecidable world) par Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa 160p (2012) (revue révisée 2019).Michael Richard Starks - 2020 - In Bienvenue en Enfer sur Terre : Bébés, Changement climatique, Bitcoin, Cartels, Chine, Démocratie, Diversité, Dysgénique, Égalité, Pirates informatiques, Droits de l'homme, Islam, Libéralisme, Prospérité, Le Web, Chaos, Famine, Maladie, Violence, Intellige. Las Vegas, NV, USA: pp. 170-184.
    Dans 'Godel’s Way', trois éminents scientifiques discutent de questions telles que l’indécidabilité, l’incomplétude, le hasard, la calculabilité et la paraconsistence. J’aborde ces questions du point de vue de Wittgensteinian selon lesquelles il y a deux questions fondamentales qui ont des solutions complètement différentes. Il y a les questions scientifiques ou empiriques, qui sont des faits sur le monde qui doivent être étudiés de manière observationnelle et philosophique quant à la façon dont le langage peut être utilisé intelligiblement (qui incluent certaines (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  28. What Do Paraconsistent, Undecidable, Random, Computable and Incomplete Mean? A Review of Godel's Way: Exploits Into an Undecidable World by Gregory Chaitin, Francisco A Doria , Newton C.A. Da Costa 160p (2012).Michael Starks - 2017 - Philosophy, Human Nature and the Collapse of Civilization -- Articles and Reviews 2006-2017 3rd Ed 686p(2017).
    In ‘Godel’s Way’ three eminent scientists discuss issues such as undecidability, incompleteness, randomness, computability and paraconsistency. I approach these issues from the Wittgensteinian viewpoint that there are two basic issues which have completely different solutions. There are the scientific or empirical issues, which are facts about the world that need to be investigated observationally and philosophical issues as to how language can be used intelligibly (which include certain questions in mathematics and logic), which need to be decided by looking (...)
    Download  
     
    Export citation  
     
    Bookmark  
  29. Categorical Consequence for Paraconsistent Logic.Fred Johnson & Peter Woodruff - 2002 - In Walter Carnielli (ed.), Paraconsistency:the logical way to the inconsistent. pp. 141-150.
    Consequence rleations over sets of "judgments" are defined by using "overdetermined" as well as "underdetermined" valuations. Some of these relations are shown to be categorical. And generalized soundness and completeness results are given for both multiple and single conclusion consequence relations.
    Download  
     
    Export citation  
     
    Bookmark  
  30. Modal Logic S4 as a Paraconsistent Logic with a Topological Semantics.Marcelo E. Coniglio & Leonardo Prieto-Sanabria - 2017 - In Carlos Caleiro, Francisco Dionisio, Paula Gouveia, Paulo Mateus & João Rasga (eds.), Logic and Computation: Essays in Honour of Amilcar Sernadas. London, UK: College Publications. pp. 171-196.
    In this paper the propositional logic LTop is introduced, as an extension of classical propositional logic by adding a paraconsistent negation. This logic has a very natural interpretation in terms of topological models. The logic LTop is nothing more than an alternative presentation of modal logic S4, but in the language of a paraconsistent logic. Moreover, LTop is a logic of formal inconsistency in which the consistency and inconsistency operators have a nice topological interpretation. This constitutes a new proof of (...)
    Download  
     
    Export citation  
     
    Bookmark  
  31.  79
    一致性、不可解释、随机性、可估计和不完整意味着什么?戈德尔之路回顾:格雷戈里·柴丁、弗朗西斯科·阿·多里亚、牛顿·达·科斯塔160p(2012年)的《开发进入一个无法辨认的世界》(What Do Paraconsistent, Undecidable, Random, Computable and Incomplete mean? A Review of Godel's Way: Exploits into an undecidable world by Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa 160p (2012)) (2019年修订版).Michael Richard Starks - 2020 - In 欢迎来到地球上的地狱: 婴儿,气候变化,比特币,卡特尔,中国,民主,多样性,养成基因,平等,黑客,人权,伊斯兰教,自由主义,繁荣,网络,混乱。饥饿,疾病,暴力,人工智能,战争. Las Vegas, NV USA: Reality Press. pp. 159-172.
    在《哥德尔之路》中,三位杰出的科学家讨论了不可解性、不完整性、随机性、可估计性和副一致性等问题。我从维特根斯坦的观点出发来处理这些问题,即有两个基本问题有着完全不同的解决方案。有科学或经验问题,这是关 于世界的事实,需要研究观察和哲学问题,如何使用语言可理解(其中包括数学和逻辑中的某些问题),需要通过查看我们在特定上下文中实际使用单词的方式来决定。当我们清楚要玩哪种语言游戏时,这些话题就像其他话题一 样被视为普通的科学和数学问题。维特根斯坦的见解很少被平等,也从未被超越,今天和80年前他口述《蓝书》和《棕色书》时一样具有现实意义。尽管它的失败——实际上是一系列笔记,而不是一本已完成的书——这是这三 位著名学者作品的独特来源,他们半个多世纪以来一直在物理学、数学和哲学的流血边缘工作。达科斯塔和多里亚被沃尔珀特引用(见下文或我的文章沃尔珀特和我对亚诺夫斯基的"理性的外在极限"的评 论),因为他们写了通用计算,在他的许多成就中,达科斯塔是先驱参数一致性。 那些希望从现代两个系统的观点来看为人类行为建立一个全面的最新框架的人,可以查阅我的书《路德维希的哲学、心理学、Mind 和语言的逻辑结构》维特根斯坦和约翰·西尔的《第二部》(2019年)。那些对我更多的作品感兴趣的人可能会看到《会说话的猴子——一个末日星球上的哲学、心理学、科学、宗教和政治——文章和评论2006-201 9年第3次(2019年)和自杀乌托邦幻想21篇世纪4日 (2019) .
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  32. Belief Revision in Science: Informational Economy and Paraconsistency.Daniel Coimbra - 2017 - Contemplação 1 (15):19-38.
    In the present paper, our objective is to examine the application of belief revision models to scientific rationality. We begin by considering the standard model AGM, and along the way a number of problems surface that make it seem inadequate for this specific application. After considering three different heuristics of informational economy that seem fit for science, we consider some possible adaptations for it and argue informally that, overall, some paraconsistent models seem to better satisfy these principles, following Testa (2015). (...)
    Download  
     
    Export citation  
     
    Bookmark  
  33.  69
    Book Review: Carnielli, W., Coniglio, M. Paraconsistent Logic: Consistency, Contradiction and Negation. Logic, Epistemology, and the Unity of Science Series. [REVIEW]Henrique Antunes & Vincenzo Ciccarelli - 2018 - Manuscrito 41 (2):111-122.
    Review of the book "Paraconsistent Logic: Consistency, Contradiction, and Negation by Water Carnielli and Marcelo Coniglio.
    Download  
     
    Export citation  
     
    Bookmark  
  34.  76
    Paracomplete Logics Which Are Dual to the Paraconsistent Logics L3A and L3B.Alejandro Hernández-Tello, Verónica Borja-Macı́as & Marcelo E. Coniglio - 2020 - LANMR 2019: Proceedings of the 12th Latin American Workshop on Logic/Languages, Algorithms and New Methods of Reasoning.
    In 2016 Beziau, introduce a more restricted concept of paraconsistency, namely the genuine paraconsistency. He calls genuine paraconsistent logic those logic rejecting φ, ¬φ |- ψ and |- ¬(φ ∧ ¬φ). In that paper the author analyzes, among the three-valued logics, which of these logics satisfy this property. If we consider multiple-conclusion consequence relations, the dual properties of those above mentioned are: |- φ, ¬φ, and ¬(ψ ∨ ¬ψ) |- . We call genuine paracomplete logics those rejecting the (...)
    Download  
     
    Export citation  
     
    Bookmark  
  35. Formal Inconsistency and Evolutionary Databases.Walter A. Carnielli, João Marcos & Sandra De Amo - 2000 - Logic and Logical Philosophy 8 (2):115-152.
    This paper introduces new logical systems which axiomatize a formal representation of inconsistency (here taken to be equivalent to contradictoriness) in classical logic. We start from an intuitive semantical account of inconsistent data, fixing some basic requirements, and provide two distinct sound and complete axiomatics for such semantics, LFI1 and LFI2, as well as their first-order extensions, LFI1* and LFI2*, depending on which additional requirements are considered. These formal systems are examples of what we dub Logics of Formal Inconsistency (LFI) (...)
    Download  
     
    Export citation  
     
    Bookmark   39 citations  
  36. Paths to Triviality.Tore 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 constant. An (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  37. The Gödel Paradox and Wittgenstein's Reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
    An interpretation of Wittgenstein’s much criticized remarks on Gödel’s First Incompleteness Theorem is provided in the light of paraconsistent arithmetic: in taking Gödel’s proof as a paradoxical derivation, Wittgenstein was drawing the consequences of his deliberate rejection of the standard distinction between theory and metatheory. The reasoning behind the proof of the truth of the Gödel sentence is then performed within the formal system itself, which turns out to be inconsistent. It is shown that the features of paraconsistent arithmetics match (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  38. Co-Constructive Logic for Proofs and Refutations.James Trafford - 2014 - Studia Humana 3 (4):22-40.
    This paper considers logics which are formally dual to intuitionistic logic in order to investigate a co-constructive logic for proofs and refutations. This is philosophically motivated by a set of problems regarding the nature of constructive truth, and its relation to falsity. It is well known both that intuitionism can not deal constructively with negative information, and that defining falsity by means of intuitionistic negation leads, under widely-held assumptions, to a justification of bivalence. For example, we do not want to (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  39. First-Order Swap Structures Semantics for Some Logics of Formal Inconsistency.Marcelo E. Coniglio - forthcoming - Journal of Logic and Computation.
    The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  40. Review of 'The Outer Limits of Reason' by Noson Yanofsky 403p(2013).Michael Starks - 2017 - Philosophy, Human Nature and the Collapse of Civilization -- Articles and Reviews 2006-2017 3rd Ed 686p(2017).
    I give a detailed review of 'The Outer Limits of Reason' by Noson Yanofsky 403(2013) from a unified perspective of Wittgenstein and evolutionary psychology. I indicate that the difficulty with such issues as paradox in language and math, incompleteness, undecidability, computability, the brain and the universe as computers etc., all arise from the failure to look carefully at our use of language in the appropriate context and hence the failure to separate issues of scientific fact from issues of how language (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  41. Track-Down Operations on Bilattices.Damian Szmuc - 2018 - In Robert Wille & Martin Lukac (eds.), Proceedings of the 48th IEEE International Symposium on Multiple-Valued Logic. Los Alamitos, California, EE. UU.: pp. 74-79.
    This paper discusses a dualization of Fitting's notion of a "cut-down" operation on a bilattice, rendering a "track-down" operation, later used to represent the idea that a consistent opinion cannot arise from a set including an inconsistent opinion. The logic of track-down operations on bilattices is proved equivalent to the logic d_Sfde, dual to Deutsch's system S_fde. Furthermore, track-down operations are employed to provide an epistemic interpretation for paraconsistent weak Kleene logic. Finally, two logics of sequential combinations of cut-and track-down (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  42. Recapture, Transparency, Negation and a Logic for the Catuskoti.Adrian Kreutz - 2019 - Comparative Philosophy 10 (1):67-92.
    The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of First Degree Entailment. (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  43.  20
    A Name for the Logics of Inconsistent Systems.Francisco Miró Quesada Cantuarias & Luis Felipe Bartolo Alegre - forthcoming - South American Journal of Logic.
    We present the letter where Francisco Miró Quesada answers Newton da Costa’s request to suggest a name for his logic of inconsistent systems. In this document, translated from Spanish into English for the first time here, Miró Quesada discusses three proposals for naming these kinds of logics: “ultraconsistent,” “metaconsistent,” and “paraconsistent.” After weighing up the pros and cons of each term, he ranks them according to their negative semantic load.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  44. Is Dialetheism an Idealism? The Russellian Fallacy and the Dialetheist’s Dilemma.Francesco Berto - 2007 - Dialectica 61 (2):235–263.
    In his famous work on vagueness, Russell named “fallacy of verbalism” the fallacy that consists in mistaking the properties of words for the properties of things. In this paper, I examine two (clusters of) mainstream paraconsistent logical theories – the non-adjunctive and relevant approaches –, and show that, if they are given a strongly paraconsistent or dialetheic reading, the charge of committing the Russellian Fallacy can be raised against them in a sophisticated way, by appealing to the intuitive reading of (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  45. On the Philosophical Motivations for the Logics of Formal Consistency and Inconsistency.Walter Carnielli & Rodrigues Abilio - manuscript
    We present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language. We shall defend the view according to which logics of formal inconsistency are theories of logical consequence of normative and epistemic character. This approach not only allows us to make inferences in the presence of contradictions, but offers a philosophically acceptable account of paraconsistency.
    Download  
     
    Export citation  
     
    Bookmark  
  46.  40
    Über Poppers Forderung nach Widerspruchlosigkeit.Luis Felipe Bartolo Alegre - 2019 - Felsefe Arkivi 51:31-36.
    Popper restricted his definition of falsifiability to consistent theories through what we may call his requirement of consistency. His main argument was that an inconsistent theory does not distinguish the sentences that corroborate it from those that contradict it, for all sentences follow from it. I propose to replace this requirement by the more basic requirement that the classes of potential corroborators and falsifiers of a theory do not overlap. This results not only in an unrestricted definition of falsifiability but (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark   1 citation  
  47. Semantical Analysis of Weak Kleene Logics.Roberto Ciuni & Massimiliano Carrara - 2019 - Journal of Applied Non-Classical Logics 29 (1):1-36.
    This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set.
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  48. Três Vezes Não: Um Estudo Sobre as Negações Clássica, Paraconsistente e Paracompleta.Kherian Gracher - 2020 - Dissertation, Federal University of Santa Catarina
    Could there be a single logical system that would allow us to work simultaneously with classical, paraconsistent, and paracomplete negations? These three negations were separately studied in logics whose negations bear their names. Initially we will restrict our analysis to propositional logics by analyzing classical negation, ¬c, as treated by Classical Propositional Logic (LPC); the paraconsistent negation, ¬p, as treated through the hierarchy of Paraconsistent Propositional Calculi Cn (0 ≤ n ≤ ω); and the paracomplete negation, ¬q, as treated by (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  49. Conjunction and Contradiction.Achille C. Varzi - 2004 - In Graham Priest, J. C. Beall & Bradley Armour-Garb (eds.), The Law of Non-Contradiction: New Philosophical Essays. Clarendon Press. pp. 93–110.
    There are two ways of understanding the notion of a contradiction: as a conjunction of a statement and its negation, or as a pair of statements one of which is the negation of the other. Correspondingly, there are two ways of understanding the Law of Non-Contradiction (LNC), i.e., the law that says that no contradictions can be true. In this paper I offer some arguments to the effect that on the first (collective) reading LNC is non-negotiable, but on the second (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  50.  59
    The Logic of Exemplarity.Jakub Mácha - forthcoming - Law and Literature (online first):1-15.
    The topic of exemplarity has attracted considerable interest in philosophy, legal theory, literary studies and art recently. There is broad consensus that exemplary cases mediate between singular instances and general concepts or norms. The aim of this article is to provide an additional perspective on the logic of exemplarity. First, inspired by Jacques Derrida’s discussion of exemplarity, I shall argue that there is a kind of différance between (singular) examples and (general) exemplars. What an example exemplifies, the exemplarity of the (...)
    Download  
     
    Export citation  
     
    Bookmark  
1 — 50 / 112