Results for 'Fitch’s Paradox of Knowability'

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  1. Fitch’s Paradox, Stumbling Block or Touchstone for Knowability.Bruno Maret - 2012 - Dissertation, Paris 1
    If we want to say that all truths are knowable Fitch’s Paradox leads us to conclude that all truths are known. Is it a real philosophical problem or a mere modeling problem? Is it possible to express the idea of knowability using modal logic? The Knowability Principle is expressed by the formula: if Phi is true then it is possible to know that Phi. But what is the meaning of possibility in this context? Using standard modal (...)
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  2. Fitch's Paradox and Level-Bridging Principles.Weng Kin San - 2020 - Journal of Philosophy 117 (1):5-29.
    Fitch’s Paradox shows that if every truth is knowable, then every truth is known. Standard diagnoses identify the factivity/negative infallibility of the knowledge operator and Moorean contradictions as the root source of the result. This paper generalises Fitch’s result to show that such diagnoses are mistaken. In place of factivity/negative infallibility, the weaker assumption of any ‘level-bridging principle’ suffices. A consequence is that the result holds for some logics in which the “Moorean contradiction” commonly thought to underlie (...)
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  3. On a New Tentative Solution to Fitch’s Paradox.Alessandro Giordani - 2016 - Erkenntnis 81 (3):597-611.
    In a recent paper, Alexander argues that relaxing the requirement that sound knowers know their own soundness might provide a solution to Fitch’s paradox and introduces a suitable axiomatic system where the paradox is avoided. In this paper an analysis of this solution is proposed according to which the effective move for solving the paradox depends on the axiomatic treatment of the ontic modality rather than the limitations imposed on the epistemic one. It is then shown (...)
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  4. Knowability paradox, decidability solution?William Bondi Knowles - 2024 - Ratio 37 (2-3):102-111.
    Fitch's knowability paradox shows that for each unknown truth there is also an unknowable truth, a result which has been thought both odd in itself and at odds with views which impose epistemic constraints on truth and/or meaningfulness. Here a solution is considered which has received little attention in the debate but which carries prima facie plausibility. The decidability solution is to accept that Fitch sentences are unknowably true but deny the significance of this on the grounds that (...)
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  5. Counterfactual knowability revisited.Julian J. Schlöder - 2019 - Synthese (2):1-15.
    Anti-realism is plagued by Fitch’s paradox: the remarkable result that if one accepts that all truths are knowable, minimal assumptions about the nature of knowledge entail that every truth is known. Dorothy Edgington suggests to address this problem by understanding p is knowable to be a counterfactual claim, but her proposal must contend with a forceful objection by Timothy Williamson. I revisit Edgington’s basic idea and find that Williamson’s objection is obviated by a refined understanding of counterfactual (...) that is grounded in possible courses of inquiry. I arrive at a precise definition of knowability that is not just a technical avoidance of paradox, but is metaphysically sound and does justice to the anti-realist idea. (shrink)
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  6. Unknowable Truths.Zachary Goodsell, John Hawthorne & Juhani Yli-Vakkuri - forthcoming - Journal of Philosophy.
    In an anonymous referee report written in 1945, Church suggested a sweeping argument against verificiationism, the thesis that every truth is knowable. The argument, which was published with due acknowledgement by Fitch almost two decades later, has generated significant attention as well as some interesting successor arguments. In this paper, we present the most important episodes in this intellectual history using the logic that Church himself favoured, and we give reasons for thinking that the arguments are less than decisive. However, (...)
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  7. KK, Knowledge, Knowability.Weng Kin San - 2023 - Mind 132 (527):605-630.
    kk states that knowing entails knowing that one knows, and K¬K states that not knowing entails knowing that one does not know. In light of the arguments against kk and K¬K⁠, one might consider modally qualified variants of those principles. According to weak kk, knowing entails the possibility of knowing that one knows. And according to weakK¬K⁠, not knowing entails the possibility of knowing that one does not know. This paper shows that weak kk and weakK¬K are much stronger than (...)
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  8. A Dynamic Epistemic Logic with a Knowability Principle.Michael Cohen - 2015 - In Logic, Rationality, and Interaction. LORI 2015. Lecture Notes in Computer Science. Berlin: Springer. pp. 406-410.
    A dynamic epistemic logic is presented in which the single agent can reason about his knowledge stages before and after announcements. The logic is generated by reinterpreting multi agent private announcements in a single agent environment. It is shown that a knowability principle is valid for such logic: any initially true ϕ can be known after a certain number of announcements.
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  9. Disappearing Diamonds: Fitch-Like Results in Bimodal Logic.Weng Kin San - 2019 - Journal of Philosophical Logic 48 (6):1003-1016.
    Augment the propositional language with two modal operators: □ and ■. Define ⧫ to be the dual of ■, i.e. ⧫=¬■¬. Whenever (X) is of the form φ → ψ, let (X⧫) be φ→⧫ψ . (X⧫) can be thought of as the modally qualified counterpart of (X)—for instance, under the metaphysical interpretation of ⧫, where (X) says φ implies ψ, (X⧫) says φ implies possibly ψ. This paper shows that for various interesting instances of (X), fairly weak assumptions suffice for (...)
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  10. How to solve the knowability paradox with transcendental epistemology.Andrew Stephenson - 2018 - Synthese 198 (Suppl 13):3253-3278.
    A novel solution to the knowability paradox is proposed based on Kant’s transcendental epistemology. The ‘paradox’ refers to a simple argument from the moderate claim that all truths are knowable to the extreme claim that all truths are known. It is significant because anti-realists have wanted to maintain knowability but reject omniscience. The core of the proposed solution is to concede realism about epistemic statements while maintaining anti-realism about non-epistemic statements. Transcendental epistemology supports such a view (...)
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  11. Transcendental Knowability and A Priori Luminosity.Andrew Stephenson - 2021 - History of Philosophy & Logical Analysis 25 (1):134-162.
    This paper draws out and connects two neglected issues in Kant’s conception of a priori knowledge. Both concern topics that have been important to contemporary epistemology and to formal epistemology in particular: knowability and luminosity. Does Kant commit to some form of knowability principle according to which certain necessary truths are in principle knowable to beings like us? Does Kant commit to some form of luminosity principle according to which, if a subject knows a priori, then they can (...)
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  12.  92
    Non esiste solo una verità: filosofia di un concetto multiforme.Alessio Montagner - unknown
    Articolo divulgativo pubblicato su l'Indiscreto il 23 ottobre 2024. Rappresenta il secondo capitolo di un testo che cercherà di fare una rapida panoramica su otto settori della filosofia analitica. Si presentano le teorie epistemiciste e si analizzano le più celebri argomentazioni connesse: il paradosso di Fitch, la Terra Gemella, il Brain in a Vat, il Model-Theoretic Argument Against Realism. Infine, si accenna rapidamente al deflazionismo e ad un possibile modello pluralista.
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  13. Church-Fitchs argument än en gång, eller: vem är rädd för vetbarhetsparadoxen?Sten Lindström - 2017 - In George Masterton, Keizo Matsubara & Kim Solin, Från Skaradjäkne till Uppsalaprofessor: festskrift till Lars-Göran Johansson i samband med hans pensionering. pp. 160-171.
    Enligt ett realistiskt synsätt kan ett påstående vara sant trots att det inte ens i princip är möjligt att veta att det är sant. En sanningsteoretisk antirealist kan inte godta denna möjlighet utan accepterar en eller annan version av Dummetts vetbarhetsprincip: (K) Om ett påstående är sant, så måste det i princip vara möjligt att veta att det är sant. Det kan dock förefalla rimligt, även för en antirealist, att gå̊ med på̊ att det kan finnas sanningar som ingen faktiskt (...)
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  14.  18
    ``Situations, Truth and Knowability: A Situation-Theoretic Analysis of a Paradox of Fitch".Sten Lindström - 1997 - In Eva Ejerhed Sten Lindström, Logic, Action and Cognition: Essays in Philosophical Logic. Dordrecht, Netherland: Kluwer Academic Publishers. pp. 183-210.
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  15. Anti-Realism and Modal-Epistemic Collapse: Reply to Marton.Jan Heylen - 2021 - Erkenntnis 88 (1):397-408.
    Marton ( 2019 ) argues that that it follows from the standard antirealist theory of truth, which states that truth and possible knowledge are equivalent, that knowing possibilities is equivalent to the possibility of knowing, whereas these notions should be distinct. Moreover, he argues that the usual strategies of dealing with the Church–Fitch paradox of knowability are either not able to deal with his modal-epistemic collapse result or they only do so at a high price. Against this, I (...)
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  16. The Poss-Ability Principle, G-cases, and Fitch Propositions.Noah Gordon - 2021 - Logos and Episteme 12 (1):117-125.
    There is a very plausible principle linking abilities and possibilities: If S is able to Φ, then it is metaphysically possible that S Φ’s. Jack Spencer recently proposed a class of counterexamples to this principle involving the ability to know certain propositions. I renew an argument against these counterexamples based on the unknowability of Fitch propositions. In doing so, I provide a new argument for the unknowability of Fitch propositions and show that Spencer’s counterexamples are in tension with a principle (...)
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  17. Situations, Truth and Knowability: A Situation-Theoretic Analysis of a Paradox by Fitch.Sten Lindström - 1997 - In Eva Ejerhed Sten Lindström, Logic, Action and Cognition: Essays in Philosophical Logic. Dordrecht, Netherland: Kluwer Academic Publishers.
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  18. Kant, the Paradox of Knowability, and the Meaning of ‘Experience’.Andrew Stephenson - 2015 - Philosophers' Imprint 15 (27):1-19.
    It is often claimed that anti-realism is a form of transcendental idealism or that Kant is an anti-realist. It is also often claimed that anti-realists are committed to some form of knowability principle and that such principles have problematic consequences. It is therefore natural to ask whether Kant is so committed, and if he is, whether this leads him into difficulties. I argue that a standard reading of Kant does indeed have him committed to the claim that all empirical (...)
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  19. Knowability Relative to Information.Peter Hawke & Franz Berto - 2021 - Mind 130 (517):1-33.
    We present a formal semantics for epistemic logic, capturing the notion of knowability relative to information (KRI). Like Dretske, we move from the platitude that what an agent can know depends on her (empirical) information. We treat operators of the form K_AB (‘B is knowable on the basis of information A’) as variably strict quantifiers over worlds with a topic- or aboutness- preservation constraint. Variable strictness models the non-monotonicity of knowledge acquisition while allowing knowledge to be intrinsically stable. Aboutness-preservation (...)
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  20. Closure on knowability.Mark Jago - 2010 - Analysis 70 (4):648-659.
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  21. Transcendental Knowability, Closure, Luminosity and Factivity: Reply to Stephenson.Jan Heylen & Felipe Morales Carbonell - 2023 - History of Philosophy & Logical Analysis 27 (1).
    Stephenson (2022) has argued that Kant’s thesis that all transcendental truths are transcendentally a priori knowable leads to omniscience of all transcendental truths. His arguments depend on luminosity principles and closure principles for transcendental knowability. We will argue that one pair of a luminosity and a closure principle should not be used, because the closure principle is too strong, while the other pair of a luminosity and a closure principle should not be used, because the luminosity principle is too (...)
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  22. New Essays on the Knowability Paradox.Jens Christian Bjerring - 2012 - History and Philosophy of Logic 33 (1):101 - 104.
    History and Philosophy of Logic, Volume 33, Issue 1, Page 101-104, February 2012.
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  23. Factive knowability and the problem of possible omniscience.Jan Heylen - 2020 - Philosophical Studies 177 (1):65-87.
    Famously, the Church–Fitch paradox of knowability is a deductive argument from the thesis that all truths are knowable to the conclusion that all truths are known. In this argument, knowability is analyzed in terms of having the possibility to know. Several philosophers have objected to this analysis, because it turns knowability into a nonfactive notion. In addition, they claim that, if the knowability thesis is reformulated with the help of factive concepts of knowability, then (...)
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  24. McCulloch Warren S. and Pitts Walter. A logical calculus of the ideas immanent in nervous activity. Bulletin of mathematical biophysics, vol. 5 , pp. 115–133. [REVIEW]Frederic B. Fitch - 1944 - Journal of Symbolic Logic 9 (2):49-50.
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  25. Unknowable Truths.Paul Humphreys - 2011 - Logos and Episteme 2 (4):543-555.
    This paper addresses a solution due to Michael Fara to the Church/Fitch paradox of knowability. Fara’s solution has significant interest but the paradox can beresurrected within his approach by considering a slightly more complex sentence. The issue of what counts as an epistemological capability for enhanced agents is then discussed with some emphasis on the developmental heritage of agents and their ability to transcend conceptual frameworks.
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  26. Rigidity and factivity.Fabio Lampert - forthcoming - Episteme:1-6.
    David Chalmers argued against the claim that for all p, or even for all entertainable p, it is knowable a priori that p iff actually p. Instead of criticizing Chalmers’s argument, I suggest that it can be generalized, in a sense, and in interesting ways, concerning other principles about contingent a priori truths. In particular, I will argue that the puzzle presented by Chalmers runs parallel to others that do not turn on ‘actually’. Furthermore, stronger arguments can be presented that (...)
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  27. Dissolving McTaggart's Paradox.Tobias Hansson Wahlberg - 2013 - In Christer Svennerlind, Almäng Jan & Rögnvaldur Ingthorsson, Johanssonian Investigations: Essays in Honour of Ingvar Johansson on His Seventieth Birthday. Frankfurt: Ontos Verlag. pp. 240-258.
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  28. A Note on Kripke’s Paradox about Time and Thought.Nathan Salmon - 2013 - Journal of Philosophy 110 (4):213-220.
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  29. Hume’s Paradoxical Thesis and His Critics.Alan Schwerin - 1995 - Southwest Philosophy Review 11 (2):65-72.
    Hume warns his readers that his view on necessity will not be understood by his critics. As he sees it, his view is paradoxical: Necessity is "nothing but an internal impression of the mind, or a determination to carry our thought from one object to another". Recent critics find it difficult to accept Hume's view and have done their best to interpret it in their way. My paper is a critical investigation of the attempts by Pears, Baier and Stoud to (...)
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  30. Seemings and Moore’s Paradox.R. M. Farley - forthcoming - Erkenntnis:1-22.
    Phenomenal conservatives claim that seemings are sui generis mental states and can thus provide foundational non-doxastic justification for beliefs. Many of their critics deny this, claiming, instead, that seemings can be reductively analyzed in terms of other mental states—either beliefs, inclinations to believe, or beliefs about one’s evidence—that cannot provide foundational non-doxastic justification. In this paper, I argue that no tenable semantic reduction of ‘seems’ can be formulated in terms of the three reductive analyses that have been proposed by critics (...)
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  31. Aboutness Paradox.Giorgio Sbardolini - 2021 - Journal of Philosophy 118 (10):549-571.
    The present work outlines a logical and philosophical conception of propositions in relation to a group of puzzles that arise by quantifying over them: the Russell-Myhill paradox, the Prior-Kaplan paradox, and Prior's Theorem. I begin by motivating an interpretation of Russell-Myhill as depending on aboutness, which constrains the notion of propositional identity. I discuss two formalizations of of the paradox, showing that it does not depend on the syntax of propositional variables. I then extend to propositions a (...)
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  32. Merely superficially contingent a priori knowledge and the McKinsey paradox.Joshua Rowan Thorpe - 2022 - Synthese 200 (1):1-15.
    The conclusion of the McKinsey paradox is that certain contingent claims about the external world are knowable a priori. Almost all of the literature on the paradox assumes that this conclusion is unacceptable, and focuses on finding a way of avoiding it. However, there is no consensus that any of these responses work. In this paper I take a different approach, arguing that the conclusion is acceptable. First, I develop our understanding of what Evans calls merely superficially contingent (...)
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  33. The Paradox of Knowability and Factivity.Michael Shaffer - 2014 - Polish Journal of Philiosophy 8 (1):85-91.
    This paper shows that the knowability paradox isn’t a paradox because the derivation of the paradox is faulty. This is explained by showing that the K operator employed in generating the paradox is used equivocally and when the equivocation is eliminated the derivation fails.
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  34. Moore-paradoxical belief, conscious belief and the epistemic Ramsey test.John N. Williams - 2012 - Synthese 188 (2):231-246.
    Chalmers and Hájek argue that on an epistemic reading of Ramsey’s test for the rational acceptability of conditionals, it is faulty. They claim that applying the test to each of a certain pair of conditionals requires one to think that one is omniscient or infallible, unless one forms irrational Moore-paradoxical beliefs. I show that this claim is false. The epistemic Ramsey test is indeed faulty. Applying it requires that one think of anyone as all-believing and if one is rational, to (...)
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  35.  63
    Dissolving McTaggart’s Paradox.Tobias Hansson Wahlberg - 2013 - In Christer Svennerlind, Almäng Jan & Rögnvaldur Ingthorsson, Johanssonian Investigations: Essays in Honour of Ingvar Johansson on His Seventieth Birthday. Frankfurt: Ontos Verlag. pp. 240-258.
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  36. Quine’s Indeterminacy: A Paradox Resolved and a Problem Revealed.Alexander George - 2014 - The Harvard Review of Philosophy 21:41-55.
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  37. A Multimodal Pragmatic Treatment of the Knowability Paradox.Massimiliano Carrara, Daniele Chiffi & Davide Sergio - 2017 - In Gillman Payette & Rafał Urbaniak, Applications of Formal Philosophy: The Road Less Travelled. Cham, Switzerland: Springer International Publishing AG. pp. 195-209.
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  38. A Paradox for Tiny Probabilities and Enormous Values.Nick Beckstead & Teruji Thomas - 2021 - Noûs.
    We begin by showing that every theory of the value of uncertain prospects must have one of three unpalatable properties. _Reckless_ theories recommend giving up a sure thing, no matter how good, for an arbitrarily tiny chance of enormous gain; _timid_ theories permit passing up an arbitrarily large potential gain to prevent a tiny increase in risk; _non-transitive_ theories deny the principle that, if A is better than B and B is better than C, then A must be better than (...)
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  39. Semantic Paradox and Alethic Undecidability.Stephen Barker - 2014 - Analysis 74 (2):201-209.
    I use the principle of truth-maker maximalism to provide a new solution to the semantic paradoxes. According to the solution, AUS, its undecidable whether paradoxical sentences are grounded or ungrounded. From this it follows that their alethic status is undecidable. We cannot assert, in principle, whether paradoxical sentences are true, false, either true or false, neither true nor false, both true and false, and so on. AUS involves no ad hoc modification of logic, denial of the T-schema's validity, or obvious (...)
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  40. Schrödinger’s Cat Paradox Resolution Using GRW Collapse Model: Von Neumann Measurement Postulate Revisited.Jaykov Foukzon - 2017 - Journal of Applied Mathematics and Physics 5 (2):494-521.
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  41. Chisholm's Paradox and Conditional Oughts.Catharine Saint Croix & Richmond Thomason - 2014 - Lecture Notes in Computer Science 8554:192-207.
    Since it was presented in 1963, Chisholm’s paradox has attracted constant attention in the deontic logic literature, but without the emergence of any definitive solution. We claim this is due to its having no single solution. The paradox actually presents many challenges to the formalization of deontic statements, including (1) context sensitivity of unconditional oughts, (2) formalizing conditional oughts, and (3) distinguishing generic from nongeneric oughts. Using the practical interpretation of ‘ought’ as a guideline, we propose a linguistically (...)
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  42. Bertrand's Paradox and the Maximum Entropy Principle.Nicholas Shackel & Darrell P. Rowbottom - 2019 - Philosophy and Phenomenological Research 101 (3):505-523.
    An important suggestion of objective Bayesians is that the maximum entropy principle can replace a principle which is known to get into paradoxical difficulties: the principle of indifference. No one has previously determined whether the maximum entropy principle is better able to solve Bertrand’s chord paradox than the principle of indifference. In this paper I show that it is not. Additionally, the course of the analysis brings to light a new paradox, a revenge paradox of the chords, (...)
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  43. Moore’s Paradoxes and Iterated Belief.John N. Williams - 2007 - Journal of Philosophical Research 32:145-168.
    I give an account of the absurdity of Moorean beliefs of the omissive form(om) p and I don’t believe that p,and the commissive form(com) p and I believe that not-p,from which I extract a definition of Moorean absurdity. I then argue for an account of the absurdity of Moorean assertion. After neutralizing two objections to my whole account, I show that Roy Sorensen’s own account of the absurdity of his ‘iterated cases’(om1) p and I don’t believe that I believe that (...)
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  44. (1 other version)The Barber, Russell's Paradox, Catch-22, God, Contradiction, and More.Laurence Goldstein - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb, The law of non-contradiction : new philosophical essays. New York: Oxford University Press. pp. 295--313.
    outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.
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  45. Kripke and the dogmatism paradox.Kaave Lajevardi - manuscript
    I aim at dissolving Kripke's dogmatism paradox by arguing that, with respect to any particular proposition p which is known by a subject A, it is not irrational for A to ignore all evidence against p. Along the way, I offer a definition of 'A is dogmatic with respect to p', and make a distinction between an objective and a subjective sense of 'should' in the statement 'A should ignore all the evidence against p'. For the most part, I (...)
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  46. Moore's Paradox and Assertion.Clayton Littlejohn - 2020 - In Goldberg Sanford, Oxford Handbook on Assertion. Oxford University Press.
    If I were to say, “Agnes does not know that it is raining, but it is,” this seems like a perfectly coherent way of describing Agnes’s epistemic position. If I were to add, “And I don’t know if it is, either,” this seems quite strange. In this chapter, we shall look at some statements that seem, in some sense, contradictory, even though it seems that these statements can express propositions that are contingently true or false. Moore thought it was paradoxical (...)
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  47. The Allais paradox: what it became, what it really was, what it now suggests to us.Philippe Mongin - 2019 - Economics and Philosophy 35 (3):423-459.
    Whereas many others have scrutinized the Allais paradox from a theoretical angle, we study the paradox from an historical perspective and link our findings to a suggestion as to how decision theory could make use of it today. We emphasize that Allais proposed the paradox asa normative argument, concerned with ‘the rational man’ and not the ‘real man’, to use his words. Moreover, and more subtly, we argue that Allais had an unusual sense of the normative, being (...)
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  48. The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation theory.Philippe Mongin - 2012 - Theory and Decision 73 (3):315-355.
    Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give (...)
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  49. Moore's paradox and epistemic norms.Clayton Littlejohn - 2010 - Australasian Journal of Philosophy 88 (1):79 – 100.
    We shall evaluate two strategies for motivating the view that knowledge is the norm of belief. The first draws on observations concerning belief's aim and the parallels between belief and assertion. The second appeals to observations concerning Moore's Paradox. Neither of these strategies gives us good reason to accept the knowledge account. The considerations offered in support of this account motivate only the weaker account on which truth is the fundamental norm of belief.
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  50. Le paradoxe du progrès : Cournot, Stent et Ruyer.Philippe Gagnon - 2014 - In Michel Weber Vincent Berne, Chromatikon X : Annales de la philosophie en procès – Yearbook of Philosophy in Process. pp. 71-90.
    This text reconsiders the philosophizing into the future of mankind and futurology done by molecular biologist Gunther Stent in *The Coming of the Golden Age* in the light of Raymond Ruyer's critical notice published in the aftermath of the publication of Stent's book in French translation. For Ruyer, it is an occasion to revisit his own take on what he called in his last work a "theology of the opposition between the organic and the rational," and to restate in a (...)
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