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  1. Philosophy of Mathematics.Roman Murawski & Thomas Bedürftig (eds.) - 2018 - De Gruyter.
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  2.  3
    Mathematics and Theology in the Thought of Nicholas of Cusa.Roman Murawski - 2019 - Logica Universalis 13 (4):477-485.
    Nicholas of Cusa was first of all a theologian but he was interested also in mathematic and natural sciences. In fact philosophico-theological and mathematical ideas were intertwined by him, theological and philosophical ideas influenced his mathematical considerations, in particular when he considered philosophical problems connected with mathematics and vice versa, mathematical ideas and examples were used by him to explain some ideas from theology. In this paper we attempt to indicate this mutual influence. We shall concentrate on the following problems: (...)
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  3.  23
    Cracow Circle and Its Philosophy of Logic and Mathematics.Roman Murawski - 2015 - Axiomathes 25 (3):359-376.
    The paper is devoted to the presentation and analysis of the philosophical views concerning logic and mathematics of the leading members of Cracow Circle, i.e., of Jan Salamucha, Jan Franciszek Drewnowski and Józef Maria Bocheński. Their views on the problem of possible applicability of logical tools in metaphysical and theological researches is also discussed.
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  4.  72
    Undefinability of Truth. The Problem of Priority:Tarski Vs Gödel.Roman Murawski - 1998 - History and Philosophy of Logic 19 (3):153-160.
    The paper is devoted to the discussion of some philosophical and historical problems connected with the theorem on the undefinability of the notion of truth. In particular the problem of the priority of proving this theorem will be considered. It is claimed that Tarski obtained this theorem independently though he made clear his indebtedness to Gödel?s methods. On the other hand, Gödel was aware of the formal undefinability of truth in 1931, but he did not publish this result. Reasons for (...)
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  5.  27
    On Expandability of Models of Peano Arithmetic. I.Roman Murawski - 1976 - Studia Logica 35 (4):409-419.
  6. Mechanization of Reasoning in a Historical Perspective.Witold Marciszewski & Roman Murawski (eds.) - 1995 - Brill | Rodopi.
    This volume is written jointly by Witold Marciszewski, who contributed the introductory and the three subsequent chapters, and Roman Murawski who is the author of the next ones - those concerned with the 19th century and the modern inquiries into formalization, algebraization and mechanization of reasonings. Besides the authors there are other persons, as well as institutions, to whom the book owes its coming into being. The study which resulted in this volume was carried out in the Historical Section of (...)
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  7.  6
    Recursive Functions and Metamathematics.Roman Murawski - 2002 - Studia Logica 70 (2):297-299.
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  8. Cantor's Philosophy of Set Theory.Roman Murawski - unknown - Poznan Studies in the Philosophy of the Sciences and the Humanities 98:15-28.
  9.  20
    On Expandability of Models of Peano Arithmetic. II.Roman Murawski - 1976 - Studia Logica 35 (4):421-431.
  10.  47
    Główne koncepcje i kierunki filozofii matematyki XX wieku.Roman Murawski - 2003 - Zagadnienia Filozoficzne W Nauce 33.
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  11.  45
    Troubles with (the Concept of) Truth in Mathematics.Roman Murawski - 2006 - Logic and Logical Philosophy 15 (4):285-303.
    In the paper the problem of definability and undefinability of the concept of satisfaction and truth is considered. Connections between satisfaction and truth on the one hand and consistency of certain systems of omega-logic and transfinite induction on the other are indicated.
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  12.  7
    On Chwistek’s Philosophy of Mathematics.Roman Murawski - 2011 - Russell: The Journal of Bertrand Russell Studies 31 (1).
    The paper is devoted to the presentation of Chwistek’s philosophical ideas concerning logic and mathematics. The main feature of his philosophy was nominalism, which found full expression in his philosophy of mathematics. He claimed that the object of the deductive sciences, hence in particular of mathematics, is the expression being constructed in them according to accepted rules of construction. He treated geometry, arithmetic, mathematical analysis and other mathematical theories as experimental disciplines, and obtained in this way a nominalistic interpretation of (...)
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  13. Filozofia Matematyki Antologia Tekst'ow Klasycznych.Roman Murawski - 1994
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  14.  26
    Undefinability Vs. Definability of Satisfaction and Truth.Roman Murawski - 1999 - Vienna Circle Institute Yearbook 6:203-215.
    Among the main theorems obtained in mathematical logic in this century are the so called limitation theorems, i.e., the Löwenheim-Skolem theorem on the cardinality of models of first-order theories, Gödel’s incompleteness theorems and Tarski’s theorem on the undefinability of truth. Problems connected with the latter are the subject of this paper. In Section 1 we shall consider Tarski’s theorem. In particular the original formulation of it as well as some specifications will be provided. Next various meanings of the notion of (...)
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  15.  33
    Review: Douglas Patterson. Alfred Tarski: Philosophy of Language and Logic. [REVIEW]Roman Murawski - 2013 - Journal for the History of Analytical Philosophy 1 (9).
    Review of Douglas Patterson. Alfred Tarski: Philosophy of Language and Logic.
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  16.  19
    Truth Vs. Provability – Philosophical and Historical Remarks.Roman Murawski - 2002 - Logic and Logical Philosophy 10:93.
  17.  23
    Trace Expansions of Initial Segments.Roman Murawski - 1984 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (30):471-476.
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  18.  23
    Some Remarks on the Structure of Expansions.Roman Murawski - 1980 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 26 (34-35):537-546.
  19. Tarski His Polish Predecessors on Truth.Jan Wolenski & Roman Murawski - 2008 - In Douglas Patterson (ed.), New Essays on Tarski and Philosophy. Oxford University Press. pp. 21--43.
     
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  20.  11
    Philosophical Reflection on Mathematics in Poland in the Interwar Period.Roman Murawski - 2004 - Annals of Pure and Applied Logic 127 (1-3):325-337.
    In the paper the views and tendencies in the philosophical reflection on mathematics in Poland between the wars are analyzed. Views of most outstanding representatives of Lvov–Warsaw Philosophical School and of Polish Mathematical School are presented. Their influence on logical and mathematical researches is considered.
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  21.  10
    Pointwise Definable Substructures of Models of Peano Arithmetic.Roman Murawski - 1988 - Notre Dame Journal of Formal Logic 29 (3):295-308.
  22.  71
    Gödel's Incompleteness Theorems and Computer Science.Roman Murawski - 1997 - Foundations of Science 2 (1):123-135.
    In the paper some applications of Gödel's incompleteness theorems to discussions of problems of computer science are presented. In particular the problem of relations between the mind and machine (arguments by J.J.C. Smart and J.R. Lucas) is discussed. Next Gödel's opinion on this issue is studied. Finally some interpretations of Gödel's incompleteness theorems from the point of view of the information theory are presented.
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  23.  28
    Some More Remarks on Expandability of Initial Segments.Roman Murawski - 1986 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 32 (25-30):445-450.
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  24.  18
    On Expandability of Models of Peano Arithmetic. III.Roman Murawski - 1977 - Studia Logica 36 (3):181-188.
    Already after sending the first two parts of this paper ([5], [6]) to the editor, two new results on the subject have appeared — namely the results of G. Wilmers and Z. Ratajczyk. So for the sake of completeness let us review them here.
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  25.  24
    Between Theology and Mathematics. Nicholas of Cusa’s Philosophy of Mathematics.Roman Murawski - 2016 - Studies in Logic, Grammar and Rhetoric 44 (1):97-110.
    The paper is devoted to the philosophical and theological as well as mathematical ideas of Nicholas of Cusa. He was a mathematician, but first of all a theologian. Connections between theology and philosophy on the one side and mathematics on the other were, for him, bilateral. In this paper we shall concentrate only on one side and try to show how some theological ideas were used by him to answer fundamental questions in the philosophy of mathematics.
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  26.  17
    Reviews. [REVIEW]Marian Przełęcki, Roman Murawski & Witold Marciszewski - 1975 - Studia Logica 34 (3):275-291.
  27.  23
    Iterations of Satisfaction Classes and Models of Peano Arithmetic.Roman Murawski - 1992 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38 (1):59-84.
  28.  34
    Mathematical Objects and Mathematical Knowledge.Roman Murawski - 1996 - Grazer Philosophische Studien 52 (1):257-259.
  29.  51
    Philosophy of Mathematics in the Warsaw Mathematical School.Roman Murawski - 2010 - Axiomathes 20 (2-3):279-293.
    The aim of this paper is to present and discuss the philosophical views concerning mathematics of the founders of the so called Warsaw Mathematical School, i.e., Wacław Sierpiński, Zygmunt Janiszewski and Stefan Mazurkiewicz. Their interest in the philosophy of mathematics and their philosophical papers will be considered. We shall try to answer the question whether their philosophical views influenced their proper mathematical investigations. Their views towards set theory and its rôle in mathematics will be emphasized.
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  30.  31
    Benedykt Bornstein’s Philosophy of Logic and Mathematics.Roman Murawski - 2014 - Axiomathes 24 (4):549-558.
    The aim of this paper is to present and discuss main philosophical ideas concerning logic and mathematics of a significant but forgotten Polish philosopher Benedykt Bornstein. He received his doctoral degree with Kazimierz Twardowski but is not included into the Lvov–Warsaw School of Philosophy founded by the latter. His philosophical views were unique and quite different from the views of main representatives of Lvov–Warsaw School. We shall discuss Bornstein’s considerations on the philosophy of geometry, on the infinity, on the foundations (...)
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  31.  12
    Definable Sets and Expansions of Models of Peano Arithmetic.Roman Murawski - 1988 - Archive for Mathematical Logic 27 (1):21-33.
    We consider expansions of models of Peano arithmetic to models ofA 2 s -¦Δ 1 1 +Σ 1 1 −AC which consist of families of sets definable by nonstandard formulas.
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  32.  28
    Jan Woleński, Essays on Logic and its Applications in Philosophy.Roman Murawski - 2012 - Polish Journal of Philosophy 6 (1):106-108.
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  33.  14
    Some Remarks on the Structure of Expansions.Roman Murawski - 1980 - Mathematical Logic Quarterly 26 (34‐35):537-546.
  34.  10
    Trace Expansions of Initial Segments.Roman Murawski - 1984 - Mathematical Logic Quarterly 30 (30):471-476.
  35.  22
    Books Received. [REVIEW]Jan Woleński, Roman Murawski & Adam Grobler - 1995 - Studia Logica 54 (1):129-137.
  36.  19
    Some Properties of the Family of Expansions to Models of A2−/Δ11 + Σ11-AC.Roman Murawski - 1991 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 37 (17):265-272.
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  37.  16
    Some Historical, Philosophical and Methodological Remarks on Proof in Mathematics.Roman Murawski - 2016 - In Peter Schuster & Dieter Probst (eds.), Concepts of Proof in Mathematics, Philosophy, and Computer Science. De Gruyter. pp. 251-268.
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  38.  6
    Bibliography.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 421-436.
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  39.  6
    2. On the History of the Philosophy of Mathematics.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 27-148.
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  40.  18
    Kant o matematyce [recenzja].Roman Murawski - 2004 - Zagadnienia Filozoficzne W Nauce 34.
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  41.  18
    Appendix to the Paper “Definable Sets and Expansions of Models of Peano Arithmetic”.Roman Murawski - 1990 - Archive for Mathematical Logic 30 (2):91-92.
  42.  5
    5. Axiomatic Approach and Logic.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 293-346.
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  43.  5
    Introduction.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 1-6.
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  44.  5
    Index of Symbols.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 443-444.
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  45.  5
    1. On the Way to the Reals.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 7-26.
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  46.  5
    7. Retrospection.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 387-402.
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  47. Philosophy of Mathematics in the 20th Century: Main Trends and Doctrines.Roman Murawski - 2006 - Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):331-347.
    The aim of the paper is to present the main trends and tendencies in the philosophy of mathematics in the 20th century. To make the analysis more clear we distinguish three periods in the development of the philosophy of mathematics in this century: (1) the first thirty years when three classical doctrines: logicism, intuitionism and formalism were formulated, (2) the period from 1931 till the end of the fifties - period of stagnation, and (3) from the beginning of the sixties (...)
     
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  48.  15
    A Note on the Variety of Satisfaction Classes.Roman Murawski - 1990 - Archive for Mathematical Logic 30 (2):83-89.
  49.  4
    Biographies.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 403-420.
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  50.  4
    Index of Subjects.Roman Murawski & Thomas Bedürftig - 2018 - In Roman Murawski & Thomas Bedürftig (eds.), Philosophy of Mathematics. De Gruyter. pp. 445-460.
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