Search results for 'ukasiewicz, Jan' (try it on Scholar)

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  1.  3
    Hans-Christoph Schmidt Am Busch & Kai Wehmeier (2007). On the Relations Between Heinrich Scholz and Jan Łukasiewicz. History and Philosophy of Logic 28 (1):67-81.
    The aim of the present study is (1) to show, on the basis of a number of unpublished documents, how Heinrich Scholz supported his Warsaw colleague Jan ?ukasiewicz, the Polish logician, during World War II, and (2) to discuss the efforts he made in order to enable Jan ?ukasiewicz and his wife Regina to move from Warsaw to Münster under life-threatening circumstances. In the first section, we explain how Scholz provided financial help to ?ukasiewicz, and we also adduce evidence of (...)
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  2.  1
    Dariusz Łukasiewicz (2011). On Jan Łukasiewicz’s Many-Valued Logic and His Criticism of Determinism. Philosophia Scientae 15:7-20.
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  3.  2
    Dariusz Łukasiewicz (2011). On Jan Łukasiewicz’s Many-Valued Logic and His Criticism of Determinism. Philosophia Scientiae 15:7-20.
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  4. Jan Woleński (1988). Jan Łukasiewicz o indukcji, logice wielowartościowej i filozofii. Studia Filozoficzne 270 (5).
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  5.  2
    Tadeusz Kotarbiński (1958). Jan Łukasiewicz's Works on the History of Logic. Studia Logica 8 (1):57-62.
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  6.  18
    Richard Robinson (1958). Jan Łukasiewicz: Aristotle's Syllogistic From the Standpoint of Modern Formal Logic. Second Edition Enlarged. Pp. Xvi+222. Oxford: Clarendon Press, 1957. Cloth, 305. Net. [REVIEW] The Classical Review 8 (3-4):282-.
  7.  16
    Richard Robinson (1953). Jan Łukasiewicz: Aristotle's Syllogistic From the Standpoint of Modern Formal Logic. Pp. Xii+142. Oxford: Clarendon Press, 1951. Cloth, 15s. Net. [REVIEW] The Classical Review 3 (02):118-119.
  8.  1
    Michel Bastit (2011). Jan Łukasiewicz contre le dictum de omni et de nullo. Philosophia Scientiae 15:55-68.
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  9.  1
    Hans-Christoph Schmidt Am Busch & Kai F. Wehmeier (2007). On the Relations Between Heinrich Scholz and Jan Łukasiewicz. History and Philosophy of Logic 28 (1):67-81.
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  10. Michel Bastit (2011). Jan Łukasiewicz contre le dictum de omni et de nullo. Philosophia Scientae 15:55-68.
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  11. Heinrich Scholz (1957). In Memorian Jan Łukasiewicz. Journal of Symbolic Logic 22 (4):385-387.
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  12.  36
    Venanzio Raspa (1999). Łukasiewicz on the Principle of Contradiction. Journal of Philosophical Research 24:57-112.
    Łukasiewicz distinguishes three formulations of the principle of contradiction in Aristotle’s works: ontological, logical, and psychological. The first two formulations are equivalent though not synonymous, but neither of them is equivalent to the psychological one, which expresses not a principle but only an empirical law. Furthermore, the principle of contradiction is neither a simple and ultimate law nor is it necessary for conducting an inference, because the syllogism is independent of it. The further explanation of this concept leads Łukasiewicz to (...)
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  13.  1
    Marcin Tkaczyk (2011). On Axiomatization of Łukasiewicz's Four-Valued Modal Logic. Logic and Logical Philosophy 20 (3):215-232.
    Formal aspects of various ways of description of Jan Łukasiewicz’s four-valued modal logic £ are discussed. The original Łukasiewicz’s description by means of the accepted and rejected theorems, together with the four-valued matrix, is presented. Then the improved E.J. Lemmon’s description based upon three specific axioms, together with the relational semantics, is presented as well. It is proved that Lemmon’s axiomatic is not independent: one axiom is derivable on the base of the remanent two. Several axiomatizations, based on three, two (...)
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  14.  27
    Jan Woleński & Joseph Agassi (2011). Łukasiewicz and Popper on Induction. History and Philosophy of Logic 31 (4):381-388.
    We compare Jan ?ukasiewicz's and Karl Popper's views on induction. The English translation of the two ?ukasiewicz's papers is included in the Appendix.
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  15.  32
    Jan Łukasiewicz, Jan Woleński & Peter Simons (1987). On the Principle of the Excluded Middle. History and Philosophy of Logic 8 (1):67-69.
    The brief article of 1910 which is translated here is, as the prefatory note explains, significant for understanding both the way in which ?ukasiewicz came to many-valued logic and the influences under which he stood at the time.
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  16.  53
    Jan Łukasiewicz (1957/1987). Aristotle's Syllogistic From the Standpoint of Modern Formal Logic. Garland Pub..
  17. Jan Łukasiewicz (1970). Selected Works. Amsterdam,North-Holland Pub. Co..
     
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  18.  1
    Jan Woleński & Anna C. Zielinska (2012). L’École de Lvov-Varsovie: philosophie et logique en Pologne. Vrin.
    Ancien étudiant de Brentano et de Zimmerman, Kazimierz Twardowski, après son élection à la chaire de philosophie à Lvov en 1895, créa autour de lui un cercle d’étudiants et de collaborateurs exceptionnel, connu aujourd’hui sous le nom d’École de Lvov-Varsovie. À mi-chemin entre Vienne et Cambridge, c’est à Lvov, et puis partiellement à Varsovie, que Jan Łukasiewicz, Stanislaw Leśniewski, Alfred Tarski, Kazimierz Ajdukiewicz, Tadeusz Kotarbiński et bien d’autres encore, repensèrent dans un esprit d’analyse les questions fondamentales de la philosophie du (...)
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  19.  18
    Jan Łukasiewicz (1963/1964). Elements of Mathematical Logic. New York, Macmillan.
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  20. Jan Łukasiewicz (1988). O logice trójwartościowej. Studia Filozoficzne 270 (5).
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  21. Jan Łukasiewicz (1988). O nauce i filozofii. Studia Filozoficzne 270 (5).
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  22. Jan Łukasiewicz (1988). O metodę w filozofii. Studia Filozoficzne 270 (5).
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  23. Jan Łukasiewicz (1988). O rozumowaniu w naukach przyrodniczych. Studia Filozoficzne 270 (5).
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  24. Jan Łukasiewicz, Dorota Sikora & Roger Pouivet (2001). Du principe de contradiction chez Aristote, coll. « Polemos ». Revue Philosophique de la France Et de l'Etranger 191 (2):259-260.
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  25. Jan Łukasiewicz (1938). Kartezjusz. Kwartalnik Filozoficzny 15 (2):123-128.
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  26. Jan Łukasiewicz (1988). O pojęciu możliwości. Studia Filozoficzne 270 (5).
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  27. Jan Łukasiewicz (1988). O prawdopodobieństwie wniosków indukcyjnych. Studia Filozoficzne 270 (5).
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  28. Jan Łukasiewicz (1988). O zasadzie wyłączonego środka. Studia Filozoficzne 270 (5).
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  29. Jan Łukasiewicz (1988). Wykład pożegnalny. Studia Filozoficzne 270 (5).
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  30.  79
    Allard Tamminga (1994). Logics of Rejection: Two Systems of Natural Deduction. Logique Et Analyse 146:169-208.
    This paper presents two systems of natural deduction for the rejection of non-tautologies of classical propositional logic. The first system is sound and complete with respect to the body of all non-tautologies, the second system is sound and complete with respect to the body of all contradictions. The second system is a subsystem of the first. Starting with Jan Łukasiewicz's work, we describe the historical development of theories of rejection for classical propositional logic. Subsequently, we present the two systems of (...)
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  31.  48
    Shunsuke Yatabe (2007). Distinguishing Non-Standard Natural Numbers in a Set Theory Within Łukasiewicz Logic. Archive for Mathematical Logic 46 (3-4):281-287.
    In ${\mathbf{H}}$ , a set theory with the comprehension principle within Łukasiewicz infinite-valued predicate logic, we prove that a statement which can be interpreted as “there is an infinite descending sequence of initial segments of ω” is truth value 1 in any model of ${\mathbf{H}}$ , and we prove an analogy of Hájek’s theorem with a very simple procedure.
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  32.  87
    John Corcoran (ed.) (1974). Ancient Logic and its Modern Interpretations. Boston,Reidel.
    This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient logic texts. A renaissance in ancient (...)
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  33.  8
    Roderic A. Girle (forthcoming). Proof and Dialogue in Aristotle. Argumentation:1-28.
    Jan Łukasiewicz’s analysis of Aristotle’s syllogism drew attention to the nature of syllogisms as conditionals rather than premise-conclusion arguments. His further idea that syllogisms should be understood as theorems of an axiom system seems a step too far for many logicians. But there is evidence to suggest that Aristotle’s syllogism was to regularise some of the steps made in ‘dialogue games.’ This way of seeing the syllogism is explored in the framework of modern formal dialogue systems. A modern formal syllogistic (...)
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  34.  3
    Iván Ortega Rodríguez (2013). Existencia humana, mundo y responsabilidad en la fenomenologia de Jan Patočka. Investigaciones Fenomenológicas: Anuario de la Sociedad Española de Fenomenología:247-264.
    In this paper we seek to take notice of the evolution and continuity of Jan Patočka’s phenomenology on the topic of the world and human existence’s relationship with it. We believe that this problem underlies and stimulates Patočka’s whole phenomenological research and we think that it is a key element to understand the ensemble of his thought.
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  35.  57
    Peter Simons, Wittgenstein on Surprise in Mathematics.
    Compulsion and Surprise Two phenomena conspire to convince people that the physical world exists independently of them. One is its recalcitrance, or insusceptibility to control. It resists and constrains our actions. Much as we might wish to do so, we cannot lift heavy boulders, walk through walls, jump rivers, breathe under water, or fly (unaided) over mountains. The other feature, which is connected to the first, is the world’s propensity to surprise us. The sights and sound, pressures and pains of (...)
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  36.  4
    José Patricio Díaz Varela (2008). Free Łukasiewicz Implication Algebras. Archive for Mathematical Logic 47 (1):25-33.
    Łukasiewicz implication algebras are the {→,1}-subreducts of MV- algebras. They are the algebraic counterpart of Super-Łukasiewicz Implicational Logics investigated in Komori (Nogoya Math J 72:127–133, 1978). In this paper we give a description of free Łukasiewicz implication algebras in the context of McNaughton functions. More precisely, we show that the |X|-free Łukasiewicz implication algebra is isomorphic to ${\bigcup_{x\in X} [x_\theta)}$ for a certain congruence θ over the |X|-free MV-algebra. As corollary we describe the free algebras in all subvarieties of Łukasiewicz (...)
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  37.  13
    Pierre Joray (2014). The Principle of Contradiction and Ecthesis in Aristotle's Syllogistic. History and Philosophy of Logic 35 (3):219-236.
    In his 1910 book On the principle of contradiction in Aristotle, Jan Łukasiewicz claims that syllogistic is independent of the principle of contradiction . He also argues that Aristotle would have defended such a thesis in the Posterior Analytics. In this paper, we first show that Łukasiewicz's arguments for these two claims have to be rejected. Then, we show that the thesis of the independence of assertoric syllogistic vis-à-vis PC is nevertheless true. For that purpose, we first establish that there (...)
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  38.  5
    Jérôme Melançon (2013). Jan Patočka's Sacrifice: Philosophy as Dissent. Continental Philosophy Review 46 (4):577-602.
    This article attempts to bring together the life, situation, and philosophical work of the Czech phenomenologist Jan Patočka in order to present his conception of philosophy and sacrifice and to understand his action of dissent and his own sacrifice as spokesman for Charter 77 in light of these concepts. Patočka philosophized despite being barred from teaching under the German occupation and under the communist regime, even after he was forced to retire and banned from publication. He also refused the official (...)
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  39.  4
    Ioana Leuştean (2006). Non-Commutative Łukasiewicz Propositional Logic. Archive for Mathematical Logic 45 (2):191-213.
    The non-commutative counterpart of the well-known Łukasiewicz propositional logic is developed, in strong connection with the algebraic theory of psMV-algebras. An extension by a new unary logical connective is also considered and a stronger completeness result is proved for this system.
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  40.  5
    George Georgescu & Andrei Popescu (2006). A Common Generalization for MV-Algebras and Łukasiewicz–Moisil Algebras. Archive for Mathematical Logic 45 (8):947-981.
    We introduce the notion of n-nuanced MV-algebra by performing a Łukasiewicz–Moisil nuancing construction on top of MV-algebras. These structures extend both MV-algebras and Łukasiewicz–Moisil algebras, thus unifying two important types of structures in the algebra of logic. On a logical level, n-nuanced MV-algebras amalgamate two distinct approaches to many valuedness: that of the infinitely valued Łukasiewicz logic, more related in spirit to the fuzzy approach, and that of Moisil n-nuanced logic, which is more concerned with nuances of truth rather than (...)
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  41.  12
    Daniele Mundici (2011). Consequence and Interpolation in Łukasiewicz Logic. Studia Logica 99 (1-3):269-278.
    Building on Wójcicki’s work on infinite-valued Łukasiewicz logic Ł ∞ , we give a self-contained proof of the deductive interpolation theorem for Ł ∞ . This paper aims at introducing the reader to the geometry of Łukasiewicz logic.
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  42.  2
    Karolina Rożko (2014). Znaczenie pojęcia odrzucania we współczesnej logice. Diametros 41:115-126.
    The main aim of this article is to show how the notion of refutation has been changing in logic for the last few years. The idea of refutation was known to Aristotle, but the formal concept was introduced by Jan Łukasiewicz. Afterwards this notion was investigated by the Polish group of logicians headed by Jerzy Słupecki. Several interesting articles about refutation have appeared in the last years. In this article, I present in outline the history of the notion of refutation (...)
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  43.  6
    M. Campercholi, D. Castaño & J. P. Díaz Varela (2011). Quasivarieties and Congruence Permutability of Łukasiewicz Implication Algebras. Studia Logica 98 (1-2):267-283.
    In this paper we study some questions concerning Łukasiewicz implication algebras. In particular, we show that every subquasivariety of Łukasiewicz implication algebras is, in fact, a variety. We also derive some characterizations of congruence permutable algebras. The starting point for these results is a representation of finite Łukasiewicz implication algebras as upwardly-closed subsets in direct products of MV-chains.
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  44.  3
    Daniele Mundici (2014). Universal Properties of Łukasiewicz Consequence. Logica Universalis 8 (1):17-24.
    Boolean logic deals with {0, 1}-observables and yes–no events, as many-valued logic does for continuous ones. Since every measurement has an error, continuity ensures that small measurement errors on elementary observables have small effects on compound observables. Continuity is irrelevant for {0, 1}-observables. Functional completeness no longer holds when n-ary connectives are understood as [0, 1]-valued maps defined on [0, 1] n . So one must envisage suitable selection criteria for [0, 1]-connectives. Łukasiewicz implication has a well known characterization as (...)
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  45.  4
    Gemma Robles & José M. Méndez (Forthcoming). A Routley-Meyer Semantics for Truth-Preserving and Well-Determined Łukasiewicz 3-Valued Logics. Logic Journal of the Igpl.
    Łukasiewicz 3-valued logic Ł3 is often understood as the set of all valid formulas according to Łukasiewicz 3-valued matrices MŁ3. Following Wojcicki, in addition, we shall consider two alternative interpretations of Ł3: ‘truth-preserving’ Ł3a and ‘well-determined’ Ł3b defined by two different consequence relations on the 3-valued matrices MŁ3. The aim of this article is to provide a Routley–Meyer ternary semantics for each one of these three versions of Łukasiewicz 3-valued logic: Ł3, Ł3a and Ł3b.
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  46. Francesc Fernández & Jan Patocka (1996). Jan Patocka, la Filosofia En Temps de Lluita.
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  47. K. Flannery (1996). Robinson's Lukasiemiczian Republic IV, 435-439. Gregorianum 77 (4):705-726.
    L'article est une critique de l'analyse faite par Richard Robinson du livre IV de la République de Platon. Ces pages de Platon offrent une analyse de la faiblesse de la volonté en termes d'un conflit entre les parties de l'âme. Robinson rejette l'analyse faite par Platon de la faiblesse de la volonté du fait que son principe de base selon lequel la même [chose] ne fait ni ne souffre des choses opposées est invalide. La critique de Robinson dépend en grand (...)
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  48. Paweł Garbacz (2000). W stronę Łukasiewicza. Filozofia Nauki 1.
    The paper contains an attempt at formulating the project of logic comprised in Jan Łukasiewicz's article „On determinism” and a construction of a logic which would realise this project. Such a logic consists of three consequence-operations build upon a four-element algebra. The values of the algebra have been defined by means of the following set of sentences: true and true today, true but not true today, false but not false today and false and false today. It turns out that only (...)
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  49. Ryszard Kleszcz (2012). Logika, wszechmoc, Bóg. Filo-Sofija 12 (19).
    Traditional theism (in Christianity, Judaism and Islam) understands God as possessing certain attributes including omnipotence. God is omnipotent in the sense that God possesses unlimited (maximal) power. For some classical philosophers and theologians (PetrusDamiani, René Descartes) God’s omnipotence requires his being able to do absolutely anything, including the logically impossible. But in Thomas Aquinas’ opinion, to do what is logically impossible is not an act of power but is self-contradictory action. For Aquinas, a logically impossible action is not an action. (...)
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  50. Józef Andrzej Stuchliński (1994). Pragmatyczno-logiczna zasada sprzeczności. W obronie Arystotelesa. Filozofia Nauki 1.
    Jan Łukasiewicz distinguished three various formulations of the law of contradiction in Aristotle's considerations concerning axiomatic foundations of philosophia prima in the book Γ of Methaphysics. Łukasiewicz referred to these formulations as „ontological”, „logical”, and „psychological”, respectively. The author focuses his attention on the last of them, namely to the so called psychological approach. He finds this approach to be an inadequate interpretation of Aristotle's views and tries to show that the most appropriate interpretation is pragmatic-logical.
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