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  1. added 2020-05-31
    Exceptional Logic.Bruno Whittle - forthcoming - Review of Symbolic Logic.
    The aim of the paper is to argue that all—or almost all—logical rules have exceptions. In particular, it is argued that this is a moral that we should draw from the semantic paradoxes. The idea that we should respond to the paradoxes by revising logic in some way is familiar. But previous proposals advocate the replacement of classical logic with some alternative logic. That is, some alternative system of rules, where it is taken for granted that these hold without exception. (...)
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  2. added 2020-05-27
    The Completeness: From Henkin's Proposition to Quantum Computer.Vasil Penchev - 2018 - Логико-Философские Штудии 16 (1-2):134-135.
    The paper addresses Leon Hen.kin's proposition as a " lighthouse", which can elucidate a vast territory of knowledge uniformly: logic, set theory, information theory, and quantum mechanics: Two strategies to infinity are equally relevant for it is as universal and t hus complete as open and thus incomplete. Henkin's, Godel's, Robert Jeroslow's, and Hartley Rogers' proposition are reformulated so that both completeness and incompleteness to be unified and thus reduced as a joint property of infinity and of all infinite sets. (...)
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  3. added 2020-05-01
    An Observation About Truth.David Kashtan - 2017 - Dissertation, University of Jerusalem
    Tarski's analysis of the concept of truth gives rise to a hierarchy of languages. Does this fragment the concept all the way to philosophical unacceptability? I argue it doesn't, drawing on a modification of Kaplan's theory of indexicals.
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  4. added 2019-12-27
    The Power of Naive Truth.Hartry Field - manuscript
    While non-classical theories of truth that take truth to be transparent have some obvious advantages over any classical theory that evidently must take it as non-transparent, several authors have recently argued that there's also a big disadvantage of non-classical theories as compared to their “external” classical counterparts: proof-theoretic strength. While conceding the relevance of this, the paper argues that there is a natural way to beef up extant internal theories so as to remove their proof-theoretic disadvantage. It is suggested that (...)
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  5. added 2019-12-21
    Wolpert, Chaitin e Wittgenstein em impossibilidade, incompletude, o paradoxo do mentiroso, o teísmo, os limites da computação, um princípio de incerteza mecânica não quântica e o universo como computador — o teorema final na teoria da máquina de Turing (revisado 2019).Michael Richard Starks - 2019 - In Delírios Utópicos Suicidas no Século XXI Filosofia, Natureza Humana e o Colapso da Civilization- Artigos e Comentários 2006-2019 5ª edição. Las Vegas, NV USA: Reality Press. pp. 183-187.
    Eu li muitas discussões recentes sobre os limites da computação e do universo como computador, na esperança de encontrar alguns comentários sobre o trabalho surpreendente do físico polimatemático e teórico da decisão David Wolpert, mas não encontrei uma única citação e assim que eu apresento este muito breve Resumo. Wolpert provou alguma impossibilidade impressionante ou teoremas da incompletude (1992 a 2008-Veja arxiv dot org) nos limites à inferência (computação) que são tão gerais que são independentes do dispositivo que faz a (...)
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  6. added 2019-10-17
    Generalized Revenge.Julien Murzi & Lorenzo Rossi - 2020 - Australasian Journal of Philosophy 98 (1):153-177.
    Since Saul Kripke’s influential work in the 1970s, the revisionary approach to semantic paradox—the idea that semantic paradoxes must be solved by weakening classical logic—has been increasingly popular. In this paper, we present a new revenge argument to the effect that the main revisionary approaches breed new paradoxes that they are unable to block.
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  7. added 2019-09-12
    Inconsistency and Replacement.Matti Eklund - 2019 - Inquiry: An Interdisciplinary Journal of Philosophy 62 (4):387-402.
    The article is an extended critical discussion of Kevin Scharp’s Replacing Truth. Scharp’s case for the claim that the concept of truth is inconsistent is criticized, and so is his case for the claim that the concept of truth must be replaced because of its inconsistency.
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  8. added 2019-06-05
    Naïve Proof and Curry’s Paradox.Massimiliano Carrara - 2018 - In Alessandro Giordani & Ciro de Florio (eds.), From Arithmetic to Metaphysics: A Path Through Philosophical Logic. Berlin: De Gruyter. pp. 61-68.
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  9. added 2019-06-03
    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 individually, but (...)
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  10. added 2019-05-05
    Solutions in the Origins of Math.Paul Bali - manuscript
    i. a poetic solution of the Goldbach Conjecture; ii. several responses to the Epimenides Paradox; iii. the volitional solution to Russell's Paradox.
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  11. added 2019-04-02
    The Inherent Risks in Using a Name-Forming Function at Object Language Level.Ferenc András - 2015 - The Reasoner 9 (5).
    The Truth problem is one of the central problems of philosophy. Nowadays, every major theory of truth that applies to formal languages utilizes devices referring to formulae. Such devices include name-forming functions. The theory of truth discussed in this paper applies to strict formal logic languages, the critique of which must, therefore, also obey mathematical rigour. This is why I have used formal logic derivations below rather than the argumentation of ordinary language.
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  12. added 2019-03-23
    Philosophy of Logic – Reexamining the Formalized Notion of Truth.Pete Olcott - manuscript
    Because formal systems of symbolic logic inherently express and represent the deductive inference model formal proofs to theorem consequences can be understood to represent sound deductive inference to true conclusions without any need for other representations such as model theory.
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  13. added 2019-03-22
    Refuting Incompleteness and Undefinability.Pete Olcott - manuscript
    Within the (Haskell Curry) notion of a formal system we complete Tarski's formal correctness: ∀x True(x) ↔ ⊢ x and use this finally formalized notion of Truth to refute his own Undefinability Theorem (based on the Liar Paradox), the Liar Paradox, and the (Panu Raatikainen) essence of the conclusion of the 1931 Incompleteness Theorem.
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  14. added 2019-03-22
    Expressing Truth Directly Within a Formal System with No Need for Model Theory.Pete Olcott - manuscript
    Because formal systems of symbolic logic inherently express and represent the deductive inference model formal proofs to theorem consequences can be understood to represent sound deductive inference to deductive conclusions without any need for other representations.
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  15. added 2019-03-19
    Minimal Type Theory (YACC BNF).Pete Olcott - manuscript
    This is the formal YACC BNF specification for Minimal Type Theory (MTT). MTT was created by augmenting the syntax of First Order Logic (FOL) to specify Higher Order Logic (HOL) expressions using FOL syntax. Syntax is provided to enable quantifiers to specify type. FOL is a subset of MTT. The ASSIGN_ALIAS operator := enables FOL expressions to be chained together to form HOL expressions.
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  16. added 2019-03-07
    Sense, Reference, and Philosophy: The Epimenidean Dilemma and the Definition of Truth.Fritz McDonald - 2002 - Philosophical Forum 34 (3-4):477-486.
    Book reviewed:;Jerrold J. Katz, Sense, Reference, and Philosophy.
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  17. added 2019-02-06
    Pluralism and the Liar.Cory Wright - 2017 - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford University Press. pp. 347–373.
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  18. added 2018-12-03
    Naïve Validity.Julien Murzi & Lorenzo Rossi - forthcoming - Synthese:1-23.
    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 this paper (...)
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  19. added 2018-11-28
    Some Open Questions About Degrees of Paradoxes.Ming Hsiung - manuscript
    We can classify the (truth-theoretic) paradoxes according to their degrees of paradoxicality. Roughly speaking, two paradoxes have the same degrees of paradoxicality, if they lead to a contradiction under the same conditions, and one paradox has a (non-strictly) lower degree of paradoxicality than another, if whenever the former leads to a contradiction under a condition, the latter does so under the very condition. This paper aims at setting forth the theoretical framework of the theory of paradoxicality degree, and putting forward (...)
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  20. added 2018-11-27
    Paradoxical Desires.Ethan Jerzak - 2019 - Proceedings of the Aristotelian Society 119 (3):335-355.
    I present a paradoxical combination of desires. I show why it's paradoxical, and consider ways of responding. The paradox saddles us with an unappealing trilemma: either we reject the possibility of the case by placing surprising restrictions on what we can desire, or we deny plausibly constitutive principles linking desires to the conditions under which they are satisfied, or we revise some bit of classical logic. I argue that denying the possibility of the case is unmotivated on any reasonable way (...)
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  21. added 2018-11-01
    Hypatia's Silence. Truth, Justification, and Entitlement.Martin Fischer, Leon Horsten & Carlo Nicolai - manuscript
    Hartry Field distinguished two concepts of type-free truth: scientific truth and disquotational truth. We argue that scientific type-free truth cannot do justificatory work in the foundations of mathematics. We also present an argument, based on Crispin Wright's theory of cognitive projects and entitlement, that disquotational truth can do justificatory work in the foundations of mathematics. The price to pay for this is that the concept of disquotational truth requires non-classical logical treatment.
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  22. added 2018-09-20
    Truth & Transcendence: Turning the Tables on the Liar Paradox.Gila Sher - 2017 - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford: Oxford University Press. pp. 281-306.
    Confronting the Liar Paradox is commonly viewed as a prerequisite for developing a theory of truth. In this paper I turn the tables on this traditional conception of the relation between the two. The theorist of truth need not constrain his search for a “material” theory of truth, i.e., a theory of the philosophical nature of truth, by committing himself to one solution or another to the Liar Paradox. If he focuses on the nature of truth (leaving issues of formal (...)
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  23. added 2018-09-04
    Truth and Generalized Quantification.Bruno Whittle - 2019 - Australasian Journal of Philosophy 97 (2):340-353.
    Kripke [1975] gives a formal theory of truth based on Kleene's strong evaluation scheme. It is probably the most important and influential that has yet been given—at least since Tarski. However, it has been argued that this theory has a problem with generalized quantifiers such as All—that is, All ϕs are ψ—or Most. Specifically, it has been argued that such quantifiers preclude the existence of just the sort of language that Kripke aims to deliver—one that contains its own truth predicate. (...)
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  24. added 2018-08-26
    Fixed-Point Posets in Theories of Truth.Stephen Mackereth - 2019 - Journal of Philosophical Logic (1).
    We show that any coherent complete partial order is obtainable as the fixed-point poset of the strong Kleene jump of a suitably chosen first-order ground model. This is a strengthening of Visser’s result that any finite ccpo is obtainable in this way. The same is true for the van Fraassen supervaluation jump, but not for the weak Kleene jump.
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  25. added 2018-08-09
    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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  26. added 2018-06-03
    Paradoxical Hypodoxes.Alexandre Billon - 2019 - Synthese 83 (12):5205-5229.
    Most paradoxes of self-reference have a dual or ‘hypodox’. The Liar paradox (Lr = ‘Lr is false’) has the Truth-Teller (Tt = ‘Tt is true’). Russell’s paradox, which involves the set of sets that are not self-membered, has a dual involving the set of sets which are self-membered, etc. It is widely believed that these duals are not paradoxical or at least not as paradoxical as the paradoxes of which they are duals. In this paper, I argue that some paradox’s (...)
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  27. added 2018-03-20
    The Notion of Truth in Natural and Formal Languages.Pete Olcott - manuscript
    For any natural (human) or formal (mathematical) language L we know that an expression X of language L is true if and only if there are expressions Γ of language L that connect X to known facts. -/- By extending the notion of a Well Formed Formula to include syntactically formalized rules for rejecting semantically incorrect expressions we recognize and reject expressions that evaluate to neither True nor False.
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  28. added 2018-02-19
    Defining a Decidability Decider.Pete Olcott - manuscript
    By extending the notion of a Well Formed Formula to include syntactically formalized rules for rejecting semantically incorrect expressions we recognize and reject expressions that have the semantic error of Pathological self-reference(Olcott 2004). The foundation of this system requires the notion of a BaseFact that anchors the semantic notions of True and False. When-so-ever a formal proof from BaseFacts of language L to a closed WFF X or ~X of language L does not exist X is decided to be semantically (...)
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  29. added 2018-02-16
    Paradox Without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251.
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  30. added 2018-02-01
    Many-Valued Logic between the Degrees of Truth and the Limits of Knowledge.Salah Osman - 2002 - Alexandria, Egypt: Al Maaref Establishment Press.
    هو أول كتاب باللغة العربية يعرض لمراحل وآليات تطور المنطق الرمزي المعاصر متعدد القيم بأنساقه المختلفة، مركزًا على مشكلة الغموض المعرفي للإنسان بأبعادها اللغوية والإبستمولوجية والأنطولوجية، والتي تتجلى – على سبيل المثال – فيما تحفل به الدراسات الفلسفية والمنطقية والعلمية من مفارقات تمثل تحديًا قويًا لثنائية الصدق والكذب الكلاسيكية، وكذلك في اكتشاف «هيزنبرج» لمبدأ اللايقين، وتأكيده وعلماء الكمّ على ضرورة التفسيرات الإحصائية في المجال دون الذري، الأمر الذي يؤكد عدم فعالية قانون الثالث المرفوع في التعامل مع معطيات الواقع الفعلي، واستحالة (...)
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  31. added 2017-12-05
    Gestalt Shifts in the Liar Or Why KT4M Is the Logic of Semantic Modalities.Susanne Bobzien - 2017 - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford University. pp. 71-113.
    ABSTRACT: This chapter offers a revenge-free solution to the liar paradox (at the centre of which is the notion of Gestalt shift) and presents a formal representation of truth in, or for, a natural language like English, which proposes to show both why -- and how -- truth is coherent and how it appears to be incoherent, while preserving classical logic and most principles that some philosophers have taken to be central to the concept of truth and our use of (...)
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  32. added 2017-09-14
    Self-Referential Probability.Catrin Campbell-Moore - 2016 - Dissertation, Ludwig-Maximilians-Universität München
    This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example: (π): “The probability of the sentence labelled π is not greater than 1/2.” Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is (...)
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  33. added 2017-06-28
    Provability with Minimal Type Theory.Pete Olcott - manuscript
    Minimal Type Theory (MTT) shows exactly how all of the constituent parts of an expression relate to each other (in 2D space) when this expression is formalized using a directed acyclic graph (DAG). This provides substantially greater expressiveness than the 1D space of FOPL syntax. -/- The increase in expressiveness over other formal systems of logic shows the Pathological Self-Reference Error of expressions previously considered to be sentences of formal systems. MTT shows that these expressions were never truth bearers, thus (...)
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  34. added 2017-06-04
    The Truth Functional Hypothesis Does Not Imply the Liars Paradox.M. Martins Silva - 2017 - Unisinos Journal of Philosophy 17 (3):1-2.
    The truth-functional hypothesis states that indicative conditional sentences and the material implication have the same truth conditions. Haze (2011) has rejected this hypothesis. He claims that a self-referential conditional, coupled with a plausible assumption about its truth-values and the assumption that the truth-functional hypothesis is true, lead to a liar’s paradox. Given that neither the self-referential conditional nor the assumption about its truth-values are problematic, the culprit of the paradox must be the truth-functional hypothesis. Therefore, we should reject it. In (...)
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  35. added 2017-05-28
    Non‐Classical Knowledge.Ethan Jerzak - 2019 - Philosophy and Phenomenological Research 98 (1):190-220.
    The Knower paradox purports to place surprising a priori limitations on what we can know. According to orthodoxy, it shows that we need to abandon one of three plausible and widely-held ideas: that knowledge is factive, that we can know that knowledge is factive, and that we can use logical/mathematical reasoning to extend our knowledge via very weak single-premise closure principles. I argue that classical logic, not any of these epistemic principles, is the culprit. I develop a consistent theory validating (...)
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  36. added 2017-05-26
    Minimalism About Truth: Special Issue Introduction.Joseph Ulatowski & Cory Wright - 2018 - Synthese 195 (3):927-933.
    The theme of this special issue is minimalism about truth, a conception which has attracted extensive support since the landmark publication of Paul Horwich's Truth (1990). Many well-esteemed philosophers have challenged Horwich's alethic minimalism, an especially austere version of deflationary truth theory. In part, this is at least because his brand of minimalism about truth also intersects with several different literatures: paradox, implicit definition, bivalence, normativity, propositional attitudes, properties, explanatory power, meaning and use, and so forth. Deflationist sympathizers have introduced (...)
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  37. added 2017-03-20
    Minimal Type Theory (MTT).Pete Olcott - manuscript
    Minimal Type Theory (MTT) is based on type theory in that it is agnostic about Predicate Logic level and expressly disallows the evaluation of incompatible types. It is called Minimal because it has the fewest possible number of fundamental types, and has all of its syntax expressed entirely as the connections in a directed acyclic graph.
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  38. added 2017-02-08
    Are All Tautologies True?Philip Hugly & Charles Sayward - 1989 - Logique Et Analyse 125 (125-126):3-14.
    The paper asks: are all tautologies true in a language with truth-value gaps? It answers that they are not. No tautology is false, of course, but not all are true. It also contends that not all contradictions are false in a language with truth-value gaps, though none are true.
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  39. added 2017-02-07
    Constraints on Correspondence.Barry Smith - 1989 - In H. Rutte, W. Sauer & W. Gombocz (eds.), Traditionen und Perspektiven der analytischen Philosophie: Festschrift für Rudolf Haller. Vienna: Hölder/Pichler/Tempsky. pp. 415-430.
    My aim is to lay down some constraints on a correspondence theory of truth for empirical sentences of a natural language on the basis of a theory according to which that to which a true empirical sentence of such a language corresponds is a part of the natural world. The problem is to find some means of delineating those portions of the world which serve as correspondents, portions of reality otherwise called ‘truthmakers’.
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  40. added 2017-02-03
    Argumentations and Logic.John Corcoran - 1989 - ARGUMENTAION 3 (1):17-43.
    Argumentations are at the heart of the deductive and the hypothetico-deductive methods, which are involved in attempts to reduce currently open problems to problems already solved. These two methods span the entire spectrum of problem-oriented reasoning from the simplest and most practical to the most complex and most theoretical, thereby uniting all objective thought whether ancient or contemporary, whether humanistic or scientific, whether normative or descriptive, whether concrete or abstract. Analysis, synthesis, evaluation, and function of argumentations are described. Perennial philosophic (...)
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  41. added 2017-01-27
    Semantic WFF(X) Specified Syntactically.Pete Olcott - manuscript
    Hypothesis: WFF(x) can be applied syntactically to the semantics of formalized declarative sentences such that: WFF(x) ↔ (x ↦ True) ∨ (x ↦ False) (see proof sketch below) For clarity we focus on simple propositions without binary logical connectives.
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  42. added 2017-01-27
    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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  43. added 2017-01-27
    Contractions of Noncontractive Consequence Relations.Rohan French & David Ripley - 2015 - Review of Symbolic Logic 8 (3):506-528.
    Some theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relative of multiplicative-additive affine logic with transparent truth, or MAALT. -/- .
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  44. added 2017-01-17
    Alethic Undecidability Doesn’T Solve the Liar.Mark Jago - 2016 - Analysis 76 (3):278-283.
    Stephen Barker presents a novel approach to solving semantic paradoxes, including the Liar and its variants and Curry’s paradox. His approach is based around the concept of alethic undecidability. His approach, if successful, renders futile all attempts to assign semantic properties to the paradoxical sentences, whilst leaving classical logic fully intact. And, according to Barker, even the T-scheme remains valid, for validity is not undermined by undecidable instances. Barker’s approach is innovative and worthy of further consideration, particularly by those of (...)
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  45. added 2017-01-15
    Conditionals and Curry.Daniel Nolan - 2016 - Philosophical Studies 173 (10):2629-2647.
    Curry's paradox for "if.. then.." concerns the paradoxical features of sentences of the form "If this very sentence is true, then 2+2=5". Standard inference principles lead us to the conclusion that such conditionals have true consequents: so, for example, 2+2=5 after all. There has been a lot of technical work done on formal options for blocking Curry paradoxes while only compromising a little on the various central principles of logic and meaning that are under threat. -/- Once we have a (...)
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  46. added 2017-01-15
    Lies, Half-Truths, and Falsehoods About Tarski’s 1933 “Liar” Antinomies.John Corcoran & Joaquin Miller - 2012 - Bulletin of Symbolic Logic 18 (1):140-141.
    We discuss misinformation about “the liar antinomy” with special reference to Tarski’s 1933 truth-definition paper [1]. Lies are speech-acts, not merely sentences or propositions. Roughly, lies are statements of propositions not believed by their speakers. Speakers who state their false beliefs are often not lying. And speakers who state true propositions that they don’t believe are often lying—regardless of whether the non-belief is disbelief. Persons who state propositions on which they have no opinion are lying as much as those who (...)
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  47. added 2017-01-15
    Iffication, Preiffication, Qualiffication, Reiffication, and Deiffication.John Corcoran - 2008 - Bulletin of Symbolic Logic 14 (4):435-6.
    Iffication, Preiffication, Qualiffication, Reiffication, and Deiffication. -/- Roughly, iffication is the speech-act in which—by appending a suitable if-clause—the speaker qualifies a previous statement. The clause following if is called the qualiffication. In many cases, the intention is to retract part of the previous statement—called the preiffication. I can retract part of “I will buy three” by appending “if I have money”. This initial study focuses on logical relations among propositional contents of speech-acts—not their full conversational implicatures, which will be treated (...)
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  48. added 2017-01-10
    Meaning, Presuppositions, Truth-Relevance, Gödel's Sentence and the Liar Paradox.X. Y. Newberry - manuscript
    Section 1 reviews Strawson’s logic of presuppositions. Strawson’s justification is critiqued and a new justification proposed. Section 2 extends the logic of presuppositions to cases when the subject class is necessarily empty, such as (x)((Px & ~Px) → Qx) . The strong similarity of the resulting logic with Richard Diaz’s truth-relevant logic is pointed out. Section 3 further extends the logic of presuppositions to sentences with many variables, and a certain valuation is proposed. It is noted that, given this valuation, (...)
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  49. added 2016-12-19
    Classicality Lost: K3 and LP After the Fall.Matthias Jenny - 2016 - Thought: A Journal of Philosophy 5 (4).
    It is commonly held that the ascription of truth to a sentence is intersubstitutable with that very sentence. However, the simplest subclassical logics available to proponents of this view, namely K3 and LP, are hopelessly weak for many purposes. In this paper, I argue that this is much more of a problem for proponents of LP than for proponents of K3. The strategies for recapturing classicality offered by proponents of LP are far less promising than those available to proponents of (...)
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  50. added 2016-12-12
    Truth, Omniscience, and Cantorian Arguments: An Exchange.Alvin Plantinga & Patrick Grim - 1993 - Philosophical Studies 71 (3):267-306.
    Suppose there were a set T of all truths, and consider all subsets of T --all members of the power set T. To each element of this power set will correspond a truth. To each set of the power set, for example, a particular truth T1 either will or will not belong as a member. In either case we will have a..
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