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  1. Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai Wehmeier (eds.) - 2024 - Springer.
    This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. -/- The chapters of which this book is composed discuss the (...)
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  2. Paradoxien – Grenzdenken und Denkgrenzen von A(llwissen) bis Z(eit).Alexander Max Bauer, Gregor Damschen & Mark Siebel (eds.) - 2024 - Paderborn: Brill mentis.
    Paradoxes evoke astonishment, confusion, and delight in the extraordinary. But that is not all: They point to fundamental problems of philosophy, mathematics, and the natural sciences. This volume presents a number of the most important paradoxes from an analytical-philosophical perspective. -/- German abstract: Paradoxien rufen Staunen, Verwirrung und die Lust am Außergewöhnlichen hervor. Aber nicht nur das: Es sind Paradoxien, die bis heute auf Grundprobleme der Philosophie, der Mathematik sowie der Naturwissenschaften hinweisen und uns zu revolutionären Lösungsvorschlägen herausfordern. -/- Einige (...)
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  3. The Banach-Tarski Paradox.Ulrich Meyer - forthcoming - Logique Et Analyse.
    Emile Borel regards the Banach-Tarski Paradox as a reductio ad absurdum of the Axiom of Choice. Peter Forrest instead blames the assumption that physical space has a similar structure as the real numbers. This paper argues that Banach and Tarski's result is not paradoxical and that it merely illustrates a surprising feature of the continuum: dividing a spatial region into disjoint pieces need not preserve volume.
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  4. Pa Relative to an Enumeration Oracle.G. O. H. Jun Le, Iskander Sh Kalimullin, Joseph S. Miller & Mariya I. Soskova - 2023 - Journal of Symbolic Logic 88 (4):1497-1525.
    Recall that B is PA relative to A if B computes a member of every nonempty $\Pi ^0_1(A)$ class. This two-place relation is invariant under Turing equivalence and so can be thought of as a binary relation on Turing degrees. Miller and Soskova [23] introduced the notion of a $\Pi ^0_1$ class relative to an enumeration oracle A, which they called a $\Pi ^0_1{\left \langle {A}\right \rangle }$ class. We study the induced extension of the relation B is PA relative (...)
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  5. On Russell's Paradox with Nails and Strings.Ferenc András - manuscript
    The Russell's paradox concerns the foundations of naive set theory. This short short paper is about how it can be interpreted in other contexts and has significance in the world of commands. Understanding the paper assumes that the reader is broadly familiar with the foundations of set theory and its history. The text contains many formulas and therefore the reader should be comfortable in the world of logical formulas. My example is somewhat similar to the barber paradox. There, too, we (...)
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  6. VI—Paradoxes as Philosophical Method and Their Zenonian Origins.Barbara M. Sattler - 2021 - Proceedings of the Aristotelian Society 121 (2):153-181.
    In this paper I show that one of the most fruitful ways of employing paradoxes has been as a philosophical method that forces us to reconsider basic assumptions. After a brief discussion of recent understandings of the notion of paradoxes, I show that Zeno of Elea was the inventor of paradoxes in this sense, against the background of Heraclitus’ and Parmenides’ way of argumentation: in contrast to Heraclitus, Zeno’s paradoxes do not ask us to embrace a paradoxical reality; and in (...)
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  7. 無限的根基——論庫薩的尼古拉之不可言説的言説 The Infinite Foundation: Nicolaus Cusanus’ Ineffable Way of Speaking (ineffabile fari).David Bartosch - 2021 - Jidujiao Wenhua Xuekan 基督教文化學刊 Journal for the Study of Christian Culture 46:49-73. Translated by Peng Bei 彭蓓.
    Concerning Nicolaus Cusanus’ (Nicholas of Cusa, 1401–1464) mysticism of the intellect, his approach to the problem of ineffability deserves the special attention of researchers. Preceded by a general exposition on the topic of the inconceivability of the experience of the foundational autopoietic self-reference of thinking and speaking, this article shows how Nicolaus Cusanus has developed a complex approach to the problem of an “ineffable way of speaking” (ineffable fari). Cusanus developed a set of approaches to non-negatable cataphatic “pointing rods” (Max (...)
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  8. Reference Fixing and the Paradoxes.Mario Gomez-Torrente - forthcoming - In Mattia Petrolo & Giorgio Venturi (eds.), Paradoxes between Truth and Proof. Cham: Springer.
    I defend the hypothesis that the semantic paradoxes, the paradoxes about collections, and the sorites paradoxes, are all paradoxes of reference fixing: they show that certain conventionally adopted and otherwise functional reference-fixing principles cannot provide consistent assignments of reference to certain relevant expressions in paradoxical cases. I note that the hypothesis has interesting implications concerning the idea of a unified account of the semantic, collection and sorites paradoxes, as well as about the explanation of their “recalcitrance”. I also note that (...)
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  9. An inexplicably good argument for causal finitism.Ibrahim Dagher - 2023 - International Journal for Philosophy of Religion 94 (2):199-211.
    Causal finitism, the view that the causal history of any event must be finite, has garnered much philosophical interest recently—especially because of its applicability to the Kalām cosmological argument. The most prominent argument for causal finitism is the Grim Reaper argument, which attempts to show that, if infinite causal histories are possible, then other paradoxical states of affairs must also be possible. However, this style of argument has been criticized on the grounds of (i) relying on controversial modal principles, and (...)
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  10. Hegel and the Paradox of Presence.James Sares - 2023 - Hegel Bulletin:1–21.
    This essay evaluates Hegel's claim that the phenomenon of time exhibits a quantitative logic in the context of a paradox concerning temporal presence. On the one hand, in time, the present always is. It seems that the very nature of time, assuming that it is really passing, requires us to assent to the continuous being of the present. If time is always passing, there must always be a present when the passing actually occurs and thus when beings actually exist. On (...)
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  11. La logique amusante.Rolin Wavre - 1946 - Genéve-Annemasse,: Éditions du Mont-Blanc.
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  12. ¿Existen las Máquinas Aceleradas de Turing? Paradojas y posibilidades lógicas.Jose Alejandro Fernández Cuesta - 2023 - Techno Review. International Technology, Science and Society Review 13 (1):49.74.
    Las máquinas aceleradas de Turing (ATMs) son dispositivos capaces de ejecutar súper-tareas. Sin embargo, el simple ejercicio de definirlas ha generado varias paradojas. En el presente artículo se definirán las nociones de súper-tarea y ATM de manera exhaustiva y se aclarará qué debe entenderse en un contexto lógico-formal cuando se pregunta por la existencia de un objeto. A partir de la distinción entre posibilidades lógicas y físicas se disolverán las paradojas y se concluirá que las ATMs son posibles y existen (...)
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  13. Logicheskite paradoksi vŭv filosofska interpretat︠s︡ii︠a︡.Sava Dimitrov Petrov - 1971 - Sofii︠a︡,: Nauka i izkustvo (Varna, pech. St. Dobrev-Strandzhata.
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  14. Paradokkusu.Hidekichi Nakamura - 1972
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  15. Las paradojas lógicas y la teoría de la predicación.Dennis Cardozo Biritos - 1976 - Mendoza, Argentina: Instituto de Ciencias Políticas.
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  16. Za paradoksite v logikata.Anri Eshkenazi - 1977 - Edited by Boi︠a︡n L. Petkanchin & Bogdan D. [From Old Catalog] Di︠a︡Nkov.
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  17. Das Metameta-Paradox.Andrej Poleev - 2023 - Enzymes 21.
    Das Metameta-Paradox ist darauf zurückzuführen, daß man die Eigenständigkeit jeder Realität annimmt, während es in Wirklichkeit nur eine Realität gibt, zu deren Beschreibung eine Sprache genutzt wird, die jedoch keine Metasprache im Verhältnis zu sich selbst sein kann, weil sie aus Elementen besteht, die zu gleicher Klasse angehören. Daher ist jede Beschreibung der Realität der Realität untergeordnet, und ihre Beschreibung sowie die Beschreibung ihrer Beschreibung u.s.w. dürfen nicht als eigenständige Klassen im Sinne der Gruppentheorie eingestuft werden.
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  18. La bottega del barbiere: tre studi sul paradosso.Lorenzo Pozzi - 1982 - Parma: Zara. Edited by Lewis Carroll.
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  19. Self-reference and type distinctions in Greek philosophy and mathematics.Ioannis M. Vandoulakis - forthcoming - In Jens Lemanski & Ingolf Max (eds.), History of Logic and its Modern Interpretation. College Publications.
    In this paper, we examine a fundamental problem that appears in Greek philosophy: the paradoxes of self-reference of the type of “Third Man” that appears first in Plato’s 'Parmenides', and is further discussed in Aristotle and the Peripatetic commentators and Proclus. We show that the various versions are analysed using different language, reflecting different understandings by Plato and the Platonists, such as Proclus, on the one hand, and the Peripatetics (Aristotle, Alexander, Eudemus), on the other hand. We show that the (...)
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  20. Paradoxul.Solomon Marcus - 1984 - București: Albatros.
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  21. Der Lügner: Theorie, Geschichte und Auflösung.Alexander Rüstow - 1910 - New York, N.Y.: Garland.
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  22. On the Metainferential Solution to the Semantic Paradoxes.Rea Golan - 2023 - Journal of Philosophical Logic 52 (3):797-820.
    Substructural solutions to the semantic paradoxes have been broadly discussed in recent years. In particular, according to the non-transitive solution, we have to give up the metarule of Cut, whose role is to guarantee that the consequence relation is transitive. This concession—giving up a meta rule—allows us to maintain the entire consequence relation of classical logic. The non-transitive solution has been generalized in recent works into a hierarchy of logics where classicality is maintained at more and more metainferential levels. All (...)
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  23. Paradoxien, Dissonanzen, Zusammenbrüche: Situationen offener Epistemologie.Hans Ulrich Gumbrecht & Karl Ludwig Pfeiffer (eds.) - 1991 - Frankfurt am Main: Suhrkamp.
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  24. Figure del paradosso: filosofia e teoria dei sistemi 2.F. Walter Lupi & Rino Genovese (eds.) - 1992 - Napoli: Liguori editore.
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  25. Theorie paradox: Kreativität als systemische Herausforderung.Arno Schöppe - 1995 - Heidelberg: Carl-Auer-Systeme.
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  26. Myšlení v paradoxu, paradox v myšlení: sborník příspěvků.Magda Králová (ed.) - 1998 - Praha: Filosofia.
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  27. Semantičkite paradoksi.Violeta Panzova - 2001 - Skopje: Ǵurǵa.
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  28. Omnis Propositio Est Affirmativa; Ergo, Nulla Propositio Est Negativa (and the Paradox of Validity).Dahlquist Manuel - 2023 - In Theories of Paradox in the Middle Ages. LONDON: College Publication. pp. 100-129.
    In the first of the Insolubles in Chapter 8 of his Sophismata, Buridan contends that the inference Omnis propositio est affirmativa; ergo, nulla propositio est negativa (PS) is valid, even though it appeals to the self-reference in the conclusion to show that what we (following Read 2001) call the classical conception of validity (CCV) fails. This requires that we accept that there are good inferences in which a false conclusion follows from true premises. Partially following Hughes’ proposal (1982), we argue (...)
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  29. God and the Problem of Logic.Andrew Dennis Bassford - 2023 - Cambridge University Press.
    Classical theists hold that God is omnipotent. But now suppose a critical atheologian were to ask: Can God create a stone so heavy that even he cannot lift it? This is the dilemma of the stone paradox. God either can or cannot create such a stone. Suppose that God can create it. Then there's something he cannot do – namely, lift the stone. Suppose that God cannot create the stone. Then, again, there's something he cannot do – namely, create it. (...)
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  30. Alethic vengeance.Kevin Scharp - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford University Press UK.
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  31. Understanding the liar.Douglas Patterson - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford University Press UK.
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  32. Solving the paradoxes, escaping revenge.Hartry Field - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford University Press UK.
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  33. Validity, paradox, and the ideal of deductive logic.Thomas Hofweber - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford University Press UK.
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  34. The liar paradox, expressibility, possible languages.Matti Eklund - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford University Press UK.
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  35. Davāzdah risālah dar pārādūks-i durūghgū.Aḥad Farāmarz Qarāmalikī, Ṣadr al-Dīn al-Kabīr, Muḥammad ibn Ibrāhīm & Ṭayyibah ʻĀrifʹniyā (eds.) - 2007 - Tihrān: Muʼassasah-ʼi Pizhūhishī-i Ḥikmat va Falsafah-ʼi Īrān.
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  36. Protivopolozhnosti i paradoksy: metodologicheskiĭ analiz.I. A. Gerasimova (ed.) - 2008 - Moskva: Kanon+.
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  37. A logical analysis of some value concepts.Frederic B. Fitch - 2008 - In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press.
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  38. Pure Logic and Higher-order Metaphysics.Christopher Menzel - 2023 - In Peter Fritz & Nicholas Jones (eds.), Higher-Order Metaphysics. Oxford: Oxford University Press.
    W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...)
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  39. Bunge y la validez de la adición.Estrada-González Luis & Romero-Rodríguez Christian - 2022 - In Guerrero-Pino German & Racines Jairo Isaac (eds.), Ciencia, Realismo y materialismo. Cali, Colombia: Universidad del Valle. pp. 191-202.
    En The paradox of Addition and its dissolution (1969), Mario Bunge presenta algunos argumentos para mostrar que la Regla de Adición puede ocasionar paradojas o problemas semánticos. Posteriormente, Margáin (1972) y Robles (1976) mostraron que las afirmaciones de Bunge son insostenibles, al menos desde el punto de vista de la lógica clásica. Aunque estamos de acuerdo con las críticas de Margáin y Robles, no estamos de acuerdo en el diagnóstico del origen del problema y tampoco con la manera en la (...)
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  40. Features and Bugs in Schnieder’s Theory of Properties.Arvid Båve - forthcoming - Erkenntnis:1-6.
    Although Benjamin Schnieder’s theory of the “ordinary conception” of properties successfully handles paradoxical properties—particularly, the property of non-self-instantiation—it fails to account for ordinary, non-pathological cases. The theory allows the inference of ‘a has the property of being F’ only given F(a) and the prior assertibility of ‘the property of being F can exist’. While this allows us to block an inference to a contradiction, it also blocks all of the non-pathological instances of the inference from ‘a is F’ to ‘a (...)
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  41. The Threefold Puzzle of Negation and the Limits of Sense.Jean-Philippe Narboux - 2023 - In Jens Pier (ed.), Limits of Intelligibility: Issues from Kant and Wittgenstein. Routledge.
    This paper investigates a particular philosophical puzzle via an examination of its status in the writings of Wittgenstein. The puzzle concerns negation and can take on three interrelated guises. The first puzzle is how not-p can so much as negate p at all – for if p is not the case, then nothing corresponds to p. The second puzzle is how not-p can so much as negate p at all when not-p rejects p not as false but as unintelligible – (...)
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  42. Model-induced escape.Barry Smith - 2022 - Facing the Future, Facing the Screen: 10Th Budapest Visual Learning Conference.
    We can illustrate the phenomenon of model-induced escape by examining the phenomenon of spam filters. Spam filter A is, we can assume, very effective at blocking spam. Indeed it is so effective that it motivates the authors of spam to invent new types of spam that will beat the filters of spam filter A. -/- An example of this phenomenon in the realm of philosophy is illustrated in the work of Nyíri on Wittgenstein's political beliefs. Nyíri writes a paper demonstrating (...)
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  43. ‘Everything True Will Be False’: Paul of Venice and a Medieval Yablo Paradox.Stephen Read - 2022 - History and Philosophy of Logic 43 (4):332-346.
    In his Quadratura, Paul of Venice considers a sophism involving time and tense which appears to show that there is a valid inference which is also invalid. Consider this inference concerning some proposition A : A will signify only that everything true will be false, so A will be false. Call this inference B. A and B are the basis of an insoluble-that is, a Liar-like paradox. Like the sequence of statements in Yablo's paradox, B looks ahead to a moment (...)
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  44. What the Gentle Murder Paradox Means to Event Semantics?Hanseung Kim - 2006 - Korean Journal of Logic 9 (2):99-116.
    There has been several proposals to resolve the gentle murder paradox; Forrester claims that the paradox shows that the deontic closure principle should be abandoned, while Sinnott-Armstrong claims that the paradoxical result arises from the scope ambiguity. However, I shall argue, the gentle murder paradox hinges on the logical structure of adverbial expressions. Although Davidson shows an insightful way of understanding logical structure of adverbs, there has been misunderstandings concerning the nature of his account. Especially what is called neo-Davidsonian event (...)
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  45. O paradoksakh.D. N. Dubnit︠s︡kiĭ - 2013 - Sankt-Peterburg: Aleteĭi︠a︡.
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  46. Paradoxes: adventures in the impossible.Gary Hayden - 2014 - New York, NY: Metro Books. Edited by Michael Picard.
    What is a paradox? -- Knowing and believing -- Vagueness and identity -- Logic and truth -- Mathematical paradoxes -- Probability paradoxes -- Space and time -- Impossibilities -- Deciding and acting -- Index of philosophers.
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  47. Is there an inconsistent primitive recursive relation?Seungrak Choi - 2022 - Synthese 200 (5):1-12.
    The present paper focuses on Graham Priest’s claim that even primitive recursive relations may be inconsistent. Although he carefully presented his claim using the expression “may be,” Priest made a definite claim that even numerical equations can be inconsistent. His argument relies heavily on the fact that there is an inconsistent model for arithmetic. After summarizing Priest’s argument for the inconsistent primitive recursive relation, I first discuss the fact that his argument has a weak foundation to explain that the existence (...)
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  48. Von Schildkröten und Lügnern: Paradoxien und Antinomien in den Wissenschaften.Karsten Engel (ed.) - 2018 - Münster: Mentis.
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  49. Paradoxes: 100 philosophical paradoxes from Achilles to Zeno.Gareth Southwell - 2007 - New York: Metro Books.
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  50. Métaphysique du paradoxe.Bruno Bérard - 2019 - Paris: L'Harmattan.
    Tome 1. Paradoxes et limites du savoir -- tome 2. La connaissance paradoxale.
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