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  1. The Nothing From Infinity Paradox Versus Plenitudinous Indeterminism.Nicholas Shackel - forthcoming - European Journal for the Philosophy of Science.
    The Nothing from Infinity paradox arises when the combination of two infinitudes of point particles meet in a supertask and disappear. Corral-Villate claims that my arguments for disappearance fail and concedes that this failure also produces an extreme kind of indeterminism, which I have called plenitudinous. So my supertask at least poses a dilemma of extreme indeterminism within Newtonian point particle mechanics. Plenitudinous indeterminism might be trivial, although easy attempts to prove it so seem to fail in the face of (...)
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  2. Probabilistic Stability, Agm Revision Operators and Maximum Entropy.Krzysztof Mierzewski - 2020 - Review of Symbolic Logic:1-38.
    Several authors have investigated the question of whether canonical logic-based accounts of belief revision, and especially the theory of AGM revision operators, are compatible with the dynamics of Bayesian conditioning. Here we show that Leitgeb's stability rule for acceptance, which has been offered as a possible solution to the Lottery paradox, allows to bridge AGM revision and Bayesian update: using the stability rule, we prove that AGM revision operators emerge from Bayesian conditioning by an application of the principle of maximum (...)
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  3. Tossing Morgenbesser’s Coin.Zachary Goodsell - forthcoming - Analysis.
    Morgenbesser's Coin is a thought experiment that exemplifies a widespread disposition to infer counterfactual independence from causal independence. I argue that this disposition is mistaken by analysing a closely related thought experiment.
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  4. Bertrand's Paradox: A Physical Way Out Along the Lines of Buffon's Needle Throwing Experiment.P. Di Porto, B. Crosignani, A. Ciattoni & H. C. Liu - 2011 - European Journal of Physics 32 (3):819–825.
    Bertrand’s paradox ) can be considered as a cautionary memento, to practitioners and students of probability calculus alike, of the possible ambiguous meaning of the term ‘at random’ when the sample space of events is continuous. It deals with the existence of different possible answers to the following question: what is the probability that a chord, drawn at random in a circle of radius R, is longer than the side of an inscribed equilateral triangle? Physics can help to remove the (...)
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  5. Deontic Logic, Weakening and Decisions Concerning Disjunctive Obligations.Michael J. Shaffer - 2022 - Logos and Episteme 13 (1):93-102.
    This paper introduces two new paradoxes for standard deontic logic (SDL). They are importantly related to, but distinct from Ross' paradox. These two new paradoxes for SDL are the simple weakening paradox and the complex weakening paradox. Both of these paradoxes arise in virtue of the underlaying logic of SDL and are consequences of the fact that SDL incorporates the principle known as weakening. These two paradoxes then show that SDL has counter-intuitive implications related to disjunctive obligations that arise in (...)
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  6. Send in the Clowns.Daniel Nolan - forthcoming - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics. Oxford: Oxford University Press.
    Thought experiments are common where infinitely many entities acting in concert give rise to strange results. Some of these cases, however, can be generalized to yield almost omnipotent systems from limited materials. This paper discusses one of these cases, bringing out one aspect of what seems so troubling about "New Zeno" cases. -/- This paper is in memory of Josh Parsons.
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  7. Non-reflexivity and Revenge.Julien Murzi & Lorenzo Rossi - 2022 - Journal of Philosophical Logic 51 (1):201-218.
    We present a revenge argument for non-reflexive theories of semantic notions – theories which restrict the rule of assumption, or initial sequents of the form φ ⊩ φ. Our strategy follows the general template articulated in Murzi and Rossi [21]: we proceed via the definition of a notion of paradoxicality for non-reflexive theories which in turn breeds paradoxes that standard non-reflexive theories are unable to block.
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  8. Reasoning and Presuppositions.Carlotta Pavese - forthcoming - Philosophical Topics.
    It is a platitude that when we reason, we often take things for granted, sometimes even justifiably so. The chemist might reason from the fact that a substance turns litmus paper red to that substance being an acid. In so doing, they take for granted, reasonably enough, that this test for acidity is valid. We ordinarily reason from things looking a certain way to their being that way. We take for granted, reasonably enough, that things are as they look Although (...)
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  9. Towards a Non-classical Meta-theory for Substructural Approaches to Paradox.Lucas Rosenblatt - 2021 - Journal of Philosophical Logic 50 (5):1007-1055.
    In the literature on self-referential paradoxes one of the hardest and most challenging problems is that of revenge. This problem can take many shapes, but, typically, it besets non-classical accounts of some semantic notion, such as truth, that depend on a set of classically defined meta-theoretic concepts, like validity, consistency, and so on. A particularly troubling form of revenge that has received a lot of attention lately involves the concept of validity. The difficulty lies in that the non-classical logician cannot (...)
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  10. Modes of Truth: The Unified Approach to Truth, Modality, and Paradox.Carlo Nicolai & Johannes Stern (eds.) - 2021 - Routledge.
    The aim of this volume is to open up new perspectives and to raise new research questions about a unified approach to truth, modalities, and propositional attitudes. The volume's essays are grouped thematically around different research questions. The first theme concerns the tension between the theoretical role of the truth predicate in semantics and its expressive function in language. The second theme of the volume concerns the interaction of truth with modal and doxastic notions. The third theme covers higher-order solutions (...)
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  11. An Implicative Expansion of Belnap’s Four-Valued Matrix: A Modal Four-Valued Logic Without Strong Modal Lukasiewicz-Type Paradoxes.José Miguel Blanco - 2020 - Bulletin of Symbolic Logic 26 (3-4):297-298.
  12. Unwinding Modal Paradoxes on Digraphs.Ming Hsiung - 2021 - Journal of Philosophical Logic 50 (2):319-362.
    The unwinding that Cook, 767–774 2004) proposed is a simple but powerful method of generating new paradoxes from known ones. This paper extends Cook’s unwinding to a larger class of paradoxes and studies further the basic properties of the unwinding. The unwinding we study is a procedure, by which when inputting a Boolean modal net together with a definable digraph, we get a set of sentences in which we have a ‘counterpart’ for each sentence of the Boolean modal net and (...)
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  13. God, Gluts and Gaps: Examining an Islamic Traditionalist Case for a Contradictory Theology.Safaruk Zaman Chowdhury - 2020 - History and Philosophy of Logic 42 (1):17-43.
    In this paper, I examine the deep theological faultline generated by divergent understandings of the divine attributes among two early antagonistic Muslim groups – the traditionalists (main...
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  14. Background for the Uninitiated.Richmond Campbell - 1985 - In Richmond Campbell & Lanning Sowden (eds.), Paradoxes of Rationality and Cooperation: Prisoner's Dilemma and Newcomb's Problem. Vancouver: pp. 3-41.
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  15. UN SEMPLICE MODO PER TRATTARE LE GRANDEZZE INFINITE ED INFINITESIME.Yaroslav Sergeyev - 2015 - la Matematica Nella Società E Nella Cultura: Rivista Dell’Unione Matematica Italiana, Serie I 8:111-147.
    A new computational methodology allowing one to work in a new way with infinities and infinitesimals is presented in this paper. The new approach, among other things, gives the possibility to calculate the number of elements of certain infinite sets, avoids indeterminate forms and various kinds of divergences. This methodology has been used by the author as a starting point in developing a new kind of computer – the Infinity Computer – able to execute computations and to store in its (...)
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  16. Numerical Infinities Applied for Studying Riemann Series Theorem and Ramanujan Summation.Yaroslav Sergeyev - 2018 - In AIP Conference Proceedings 1978. AIP. pp. 020004.
    A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...)
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  17. On Some Analogies Between the Counterexamples to Modus Ponens (and Modus Tollens).Lina Maria Lissia - 2020 - The Reasoner 14 (6):35-37.
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  18. Bertrand's Paradox and the Maximum Entropy Principle.Nicholas Shackel & Darrell P. Rowbottom - 2020 - 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, that is unique (...)
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  19. Bunder’s Paradox.Michael Caie - 2020 - Review of Symbolic Logic 13 (4):829-844.
    Systems of illative logic are logical calculi formulated in the untyped λ-calculus supplemented with certain logical constants.1 In this short paper, I consider a paradox that arises in illative logic. I note two prima facie attractive ways of resolving the paradox. The first is well known to be consistent, and I briefly outline a now standard construction used by Scott and Aczel that establishes this. The second, however, has been thought to be inconsistent. I show that this isn’t so, by (...)
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  20. A Two-Dimensional Logic for Two Paradoxes of Deontic Modality.Fusco Melissa & Kocurek Alexander - forthcoming - Review of Symbolic Logic.
    In this paper, we axiomatize the deontic logic in Fusco 2015, which uses a Stalnaker-inspired account of diagonal acceptance and a two-dimensional account of disjunction to treat Ross’s Paradox and the Puzzle of Free Choice Permission. On this account, disjunction-involving validities are a priori rather than necessary. We show how to axiomatize two-dimensional disjunction so that the introduction/elimination rules for boolean disjunction can be viewed as one-dimensional projections of more general two-dimensional rules. These completeness results help make explicit the restrictions (...)
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  21. A Quantificational Analysis of the Liar Paradox.Matheus Silva - manuscript
    It seems that the most common strategy to solve the liar paradox is to argue that liar sentences are meaningless and, consequently, truth-valueless. The other main option that has grown in recent years is the dialetheist view that treats liar sentences as meaningful, truth-apt and true. In this paper I will offer a new approach that does not belong in either camp. I hope to show that liar sentences can be interpreted as meaningful, truth-apt and false, but without engendering any (...)
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  22. Incompleteness Via Paradox and Completeness.Walter Dean - 2020 - Review of Symbolic Logic 13 (3):541-592.
    This paper explores the relationship borne by the traditional paradoxes of set theory and semantics to formal incompleteness phenomena. A central tool is the application of the Arithmetized Completeness Theorem to systems of second-order arithmetic and set theory in which various “paradoxical notions” for first-order languages can be formalized. I will first discuss the setting in which this result was originally presented by Hilbert & Bernays and also how it was later adapted by Kreisel and Wang in order to obtain (...)
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  23. The Paradox of Inwardness in Kant and Kierkegaard: Ronald Green's Legacy in Philosophy of Religion.Stephen R. Palmquist - 2016 - Journal of Religious Ethics 44 (4):738-751.
    Aside from bioethics, the main theme of Ronald Green's lifework has been an exploration of the relation between religion and morality, with special emphasis on the philosophies of Immanuel Kant and Søren Kierkegaard. This essay summarizes and assesses his work on this theme by examining, in turn, four of his relevant books. Religious Reason (1978) introduced a new method of comparative religion based on Kant's model of a rational religion. Religion and Moral Reason (1988) expanded on this project, clarifying that (...)
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  24. What Is Morality? And Why Can't We Decide? (Original Title).Stephen R. Palmquist - 2013 - Morality: Diversity of Concepts and Meanings.
    I was invited to contribute this short piece to a book published in Russia, consisting of brief statements on the nature of morality written by approximately 90 scholars. Each essay is published in both English and Russian. My essay offers my considered answer to the question posed in the title, though in the end all contributions were published without titles.
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  25. An Eternal Society Paradox.Wade A. Tisthammer - 2020 - Aporia 30 (1):49-58.
    An eternal society with the abilities of ordinary humans in each year of its existence would have had the ability to actualize a logical contradiction. This fact casts doubt on the metaphysical possibility of an infinite past. In addition to using this paradox in an argument against an infinite past, one can also use the paradox mutatis mutandis as a decisive argument against the sempiternality of God.
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  26. Norms, Logics and Information Systems: New Studies on Deontic Logic and Computer Science.Henry Prakken & Paul McNamara (eds.) - 1999 - Amsterdam/Oxford/Tokyo/Washington DC: IOS Press.
    This anthology contains revised versions of selected papers presented at the fourth bi-annual international deontic logic conference, DEON’98. This volume includes our substantial introduction, and an article from me as a contributor. The volume includes papers from all four distinguished invited speakers, David Makinson, Donald Nute, Claudio Pizzi, and the founder of deontic logic, Georg Von Wright. Other notables among the authors are Dov Gabbay (co-editor of the Handbook on Philosophical Logic vols.1-4, and editor of a number of logic book (...)
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  27. Chisholm's Modal Paradox(Es) and Counterpart Theory 50 Years On.Murali Ramachandran - forthcoming - Logic and Logical Philosophy:1.
    Lewis’s [1968] counterpart theory (LCT for short), motivated by his modal realism, made its appearance within a year of Chisholm’s modal paradox [1967]. We are not modal realists, but we argue that a satisfactory resolution to the paradox calls for a counterpart-theoretic (CT-)semantics. We make our case by showing that the Chandler–Salmon strategy of denying the S4 axiom [◊◊ψ →◊ψ] is inadequate to resolve the paradox – we take on Salmon’s attempts to defend that strategy against objects from Lewis and (...)
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  28. Two New Series of Principles in the Interpretability Logic of All Reasonable Arithmetical Theories.Evan Goris & Joost J. Joosten - 2020 - Journal of Symbolic Logic 85 (1):1-25.
    The provability logic of a theory T captures the structural behavior of formalized provability in T as provable in T itself. Like provability, one can formalize the notion of relative interpretability giving rise to interpretability logics. Where provability logics are the same for all moderately sound theories of some minimal strength, interpretability logics do show variations.The logic IL is defined as the collection of modal principles that are provable in any moderately sound theory of some minimal strength. In this article (...)
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  29. Explicitní/implicitní přesvědčení a derivační systémy [Explicit/Implicit Belief and Derivation Systems].Jiri Raclavsky & Ivo Pezlar - 2019 - Filosoficky Casopis 67 (1): 89-120.
    The problem of hyperintensional contexts, and the problem of logical omniscience, shows the severe limitation of possible-worlds semantics which is employed also in standard epistemic logic. As a solution, we deploy here hyperintensional semantics according to which the meaning of an expression is an abstract structured algorithm, namely Tichý's construction. Constructions determine the denotata of expressions. Propositional attitudes are modelled as attitudes towards constructions of truth values. Such a model of belief is, of course, inferentially restrictive. We therefore also propose (...)
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  30. John A. Carpenter, Omar K. Moore, Charles R. Snyder, and Edith S. Lisansky. Alcohol and Higher-Order Problem Solving. Quarterly Journal of Studies on Alcohol , Vol. 22 , Pp. 183–222. [REVIEW]Alonzo Church - 1965 - Journal of Symbolic Logic 30 (2):243.
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  31. Marshall Swain. Editor's Introduction. Induction, Acceptance, and Rational Belief, Edited by Marshall Swain, D. Reidel Publishing Company, Dordrecht-Holland, and Humanities Press, New York, 1970, Pp. 1–5. - Frederic Schick. Three Logics of Belief. Induction, Acceptance, and Rational Belief, Edited by Marshall Swain, D. Reidel Publishing Company, Dordrecht-Holland, and Humanities Press, New York, 1970, Pp. 6–26. - Marshall Swain. The Consistency of Rational Belief. Induction, Acceptance, and Rational Belief, Edited by Marshall Swain, D. Reidel Publishing Company, Dordrecht-Holland, and Humanities Press, New York, 1970, Pp. 27–54. - Henry E. KyburgJr., Conjunctivitis. Induction, Acceptance, and Rational Belief, Edited by Marshall Swain, D. Reidel Publishing Company, Dordrecht-Holland, and Humanities Press, New York, 1970, Pp. 55–82. - Gilbert H. Harman. Induction. A Discussion of the Relevance of the Theory of Knowledge to the Theory of Induction . Induction, Acceptance, and Rational Bel. [REVIEW]Ian Hacking - 1974 - Journal of Symbolic Logic 39 (1):166-168.
  32. Irving M. Copi. The Theory of Logical Types. Routledge & Kegan Paul, London1971, X + 129 Pp. [REVIEW]Francis Jeffry Pelletier - 1974 - Journal of Symbolic Logic 39 (1):174-177.
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  33. On the Paradox of the Adder.Ferenc András - 2011 - The Reasoner 5 (3).
    Sometimes it is worth using Tarski’s solution rather than merely mentioning it.
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  34. ST, LP and Tolerant Metainferences.Bogdan Dicher & Francesco Paoli - forthcoming - In C. Bașkent & Thomas Ferguson (eds.), Graham Priest on dialetheism and paraconsistency. Springer.
  35. ‘What the Tortoise Said to Achilles’: Lewis Carroll's Paradox of Inference. [REVIEW]Corine Besson - 2018 - History and Philosophy of Logic 39 (1):96-98.
  36. Curry's Paradox.Lionel Shapiro & Jc Beall - 2017 - Edward N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy. CSLI Publications.
    “Curry’s paradox”, as the term is used by philosophers today, refers to a wide variety of paradoxes of self-reference or circularity that trace their modern ancestry to Curry (1942b) and Löb (1955). The common characteristic of these so-called Curry paradoxes is the way they exploit a notion of implication, entailment or consequence, either in the form of a connective or in the form of a predicate. Curry’s paradox arises in a number of different domains. Like Russell’s paradox, it can take (...)
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  37. Disarming a Paradox of Validity.Hartry Field - 2017 - Notre Dame Journal of Formal Logic 58 (1):1-19.
    Any theory of truth must find a way around Curry’s paradox, and there are well-known ways to do so. This paper concerns an apparently analogous paradox, about validity rather than truth, which JC Beall and Julien Murzi call the v-Curry. They argue that there are reasons to want a common solution to it and the standard Curry paradox, and that this rules out the solutions to the latter offered by most “naive truth theorists.” To this end they recommend a radical (...)
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  38. Cantor’s Proof in the Full Definable Universe.Laureano Luna & William Taylor - 2010 - Australasian Journal of Logic 9:10-25.
    Cantor’s proof that the powerset of the set of all natural numbers is uncountable yields a version of Richard’s paradox when restricted to the full definable universe, that is, to the universe containing all objects that can be defined not just in one formal language but by means of the full expressive power of natural language: this universe seems to be countable on one account and uncountable on another. We argue that the claim that definitional contexts impose restrictions on the (...)
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  39. Interpretando la Paradoja de Moore.Cristina Borgoni - 2008 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 23 (2):145-161.
    RESUMEN: Este trabajo ofrece una lectura de la Paradoja de Moore que pone énfasis en su relevancia para nuestra comprensión de la racionalidad y de la interpretación lingüística. Mantiene que las oraciones que dan origen a la paradoja no necesitan entenderse en términos de ausencia de una contradicción, sino más bien en términos de ausencia de racionalidad, entendida esta como un término más amplio que el de coherencia y consistencia lógica. Se defenderá tal posición por medio de tres tesis, dos (...)
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  40. The Very Idea of a Substructural Approach to Paradox.Lionel Shapiro - 2016 - Synthese 199 (Suppl 3):767-786.
    This paper aims to call into question the customary division of logically revisionary responses to the truth-theoretic paradoxes into those that are “substructural” and those that are “ structural.” I proceed by examining, as a case study, Beall’s recent proposal based on the paraconsistent logic LP. Beall formulates his response to paradox in terms of a consequence relation that obeys all standard structural rules, though at the price of the language’s lacking a detaching conditional. I argue that the same response (...)
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  41. A. S. Kahr, Edward F. Moore, and Hao Wang. Entscheidungsproblem Reduced to the ∀∃∀ Case. Proceedings of the National Academy of Sciences, Bd. 48 , S. 365–377. [REVIEW]W. Ackermann - 1962 - Journal of Symbolic Logic 27 (2):225-225.
  42. Moore Omar Khayyam and Anderson Scarvia B.. Modern Logic and Tasks for Experiments on Problem Solving Behavior. The Journal of Psychology, Vol. 38 , Pp. 151–160.Moore Omar Khayyam and Anderson Scarvia B.. Search Behavior in Individual and Group Problem Solving. American Sociological Review, Vol. 19 , Pp. 702–714.Anderson Scarvia B.. Problem Solving in Multiple-Goal Situations. Journal of Experimental Psychology, Vol. 54 , Pp. 297–303.Moore Omar Khayyam. Problem Solving and the Perception of Persons. Person Perception and Interpersonal Behavior, Edited by Tagiuri Renato and Petrullo Luigi, Stanford University Press, Stanford, Calif., 1958, Pp. 131–150. [REVIEW]Alonzo Church - 1959 - Journal of Symbolic Logic 24 (1):86-86.
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  43. Moore Edward F.. Table of Four-Relay Contact Networks. Therein, Pp. 195–216.S. Seshu - 1959 - Journal of Symbolic Logic 24 (1):78-78.
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  44. Cohen L. J. And Lloyd A. C.. Assertion-Statements. Analysis , Vol. 15 No. 3 , Pp. 66–70.J. F. Thomson - 1956 - Journal of Symbolic Logic 21 (1):82-83.
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  45. Shannon Claude E. And Moore Edward F.. Machine Aid for Switching Circuit Design. Proceedings of the I.R.E., Vol. 41 , Pp. 1348–1351. [REVIEW]Alonzo Church - 1954 - Journal of Symbolic Logic 19 (2):141-141.
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  46. White Morton G.. A Note on the “Paradox of Analysis.” Mind, N.S. Vol. 54 , Pp. 71–72.Black Max. The “Paradox of Analysis” Again: A Reply. Mind, N.S. Vol. 54 , Pp. 272–273.White Morton G.. Analysis and Identity: A Rejoinder. Mind, N.S. Vol. 54 , Pp. 357–361.Black Max. How Can Analysis Be Informative? Philosophy and Phenomenological Research, Vol. 6 No. 4 , Pp. 628–631. [REVIEW]Alonzo Church - 1946 - Journal of Symbolic Logic 11 (4):132-133.
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  47. C. H. Langford. The Notion of Analysis in Moore's Philosophy. The Philosophy of G. E. Moore, Edited by Paul Arthur Schilpp, Northwestern University, Evanston and Chicago1942, Pp. 319–342. - G. E. Moore. A Reply to My Critics. The Philosophy of G. E. Moore, Edited by Paul Arthur Schilpp, Northwestern University, Evanston and Chicago1942, Pp. 533–677. [REVIEW]Morton G. White - 1943 - Journal of Symbolic Logic 8 (4):149-151.
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  48. A Provisional Solution to the Normal Moore Space ProblemIf All Normal Moore Spaces Are Metrizable, Then There Is an Inner Model with a Measurable CardinalNew Proofs of the Consistency of the Normal Moore Space Conjecture IOn Collectionwise Normality of Locally Compact, Normal Spaces.Gary Gruenhage, Peter J. Nyikos, William G. Fleissner, Alan Dow, Franklin D. Tall, William A. R. Weiss & Zoltan Balogh - 2002 - Bulletin of Symbolic Logic 8 (3):443.
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  49. Logical Inference and Its Dynamics.Carlotta Pavese - June 2016 - In Tamminga Allard, Willer Malte & Roy Olivier (eds.), Deontic Logic and Normative Systems. College Publications. pp. 203-219.
    This essay advances and develops a dynamic conception of inference rules and uses it to reexamine a long-standing problem about logical inference raised by Lewis Carroll’s regress.
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  50. Affirmation and Absurdity.Bernard Reginster - 2016 - Philosophy and Phenomenological Research 92 (3):785-791.
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