72 found
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  1.  60
    Calculus Ratiocinator Versus Characteristica Universalis? The Two Traditions in Logic, Revisited.Volker Peckhaus - 2004 - History and Philosophy of Logic 25 (1):3-14.
  2.  18
    The Mathematical Origins of Nineteenth-Century Algebra of Logic.Volker Peckhaus - 2009 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. pp. 159.
    This chapter discusses the complex conditions for the emergence of 19th-century symbolic logic. The main scope will be on the mathematical motives leading to the interest in logic; the philosophical context will be dealt with only in passing. The main object of study will be the algebra of logic in its British and German versions. Special emphasis will be laid on the systems of George Boole and above all of his German follower Ernst Schröder.
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  3. Hilbertprogramm Und Kritische Philosophie Das Göttinger Modell Interdisziplinärer Zusammenarbeit Zwischen Mathematik Und Philosophie : 13 Abbildungen.Volker Peckhaus (ed.) - 1990 - Vandenhoeck & Ruprecht.
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  4.  69
    19th Century Logic Between Philosophy and Mathematics.Volker Peckhaus - 1999 - Bulletin of Symbolic Logic 5 (4):433-450.
    The history of modern logic is usually written as the history of mathematical or, more general, symbolic logic. As such it was created by mathematicians. Not regarding its anticipations in Scholastic logic and in the rationalistic era, its continuous development began with George Boole's The Mathematical Analysis of Logic of 1847, and it became a mathematical subdiscipline in the early 20th century. This style of presentation cuts off one eminent line of development, the philosophical development of logic, although logic is (...)
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  5.  9
    Hugh MacColl and the German Algebra of Logic.Volker Peckhaus - 1998 - Nordic Journal of Philosophical Logic 3:17-34.
  6.  9
    'Ich Habe Mich Wohl Gehütet, Alle Patronen Auf Einmal Zu Verschießen'. Ernst Zermelo in Göttingen.Volker Peckhaus - 1990 - History and Philosophy of Logic 11 (1):19-58.
    Zermelos Zeit in Göttingen (1897?1910) kann als wissenschaftlich fruchtbarste Periode in seiner Karriere angesehen werden. Gleichwohl stehen bisher Untersuchungen aus. die eine Einbettung von Zermelos Werk in den biographischen und sozialen Kontext ermöglichen Die vorliegende Studie will diese Lücke unter Konzentration auf zwei Gegenstandsbereiche teileweise ausfüllen: (1) den historischen Entstehungskontext von Zermelos ersten Arbeiten über die Grundlagen der Mengenlehre; (2) die Vorgeschichte und näheren Umstände des 1907 an Zermelo verliehenen Lehrauftrages für mathematische Logik und verwandte Gegenstände. mit dem ein erster (...)
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  7. Hilbertprogramm Und Kritische Philosophie: Das Göttinger Modell Interdisziplinärer Zusammenarbeit Zwischen Mathematik Und Philosophie.Volker Peckhaus - 1991 - Studia Logica 50 (2):351-354.
  8.  13
    Logik, Mathesis Universalis Und Allgemeine Wissenschaft. Leibniz Und Die Wiederentdeckung der Formalen Logik Im 19. Jahrhundert.Volker Peckhaus - 1999 - Studia Logica 63 (3):441-442.
  9.  5
    Logik, Mathesis Universalis Und Allgemeine Wissenschaft. Leibniz Und Die Wiederentdeckung der Formalen Logik Im 19. Jahrhundert.Volker Peckhaus - 1999 - Erkenntnis 50 (1):133-136.
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  10.  57
    The Pragmatism of Hilbert's Programme.Volker Peckhaus - 2003 - Synthese 137 (1-2):141 - 156.
    It is shown that David Hilbert's formalistic approach to axiomaticis accompanied by a certain pragmatism that is compatible with aphilosophical, or, so to say, external foundation of mathematics.Hilbert's foundational programme can thus be seen as areconciliation of Pragmatism and Apriorism. This interpretation iselaborated by discussing two recent positions in the philosophy ofmathematics which are or can be related to Hilbert's axiomaticalprogramme and his formalism. In a first step it is argued that thepragmatism of Hilbert's axiomatic contradicts the opinion thatHilbert style (...)
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  11.  30
    Hilberts Logik. Von der Axiomatik zur Beweistheorie.Volker Peckhaus - 1995 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 3 (1):65-86.
    This paper gives a survey of David Hilbert's (1862–1943) changing attitudes towards logic. The logical theory of the Göttingen mathematician is presented as intimately linked to his studies on the foundation of mathematics. Hilbert developed his logical theory in three stages: (1) in his early axiomatic programme until 1903 Hilbert proposed to use the traditional theory of logical inferences to prove the consistency of his set of axioms for arithmetic. (2) After the publication of the logical and set-theoretical paradoxes by (...)
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  12.  77
    The Way of Logic Into Mathematics.Volker Peckhaus - 1997 - Theoria 12 (1):39-64.
    Using a contextual method the specific development of logic between c. 1830 and 1930 is explained. A characteristic mark of this period is the decomposition of the complex traditional philosophical omnibus discipline logic into new philosophical subdisciplines and separate disciplines such as psychology, epistemology, philosophy of science, and formal (symbolic, mathematical) logic. In the 19th century a growing foundational need in mathematics provoked the emergence of a structural view on mathematics and the reformulation of logic for mathematical means. As a (...)
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  13.  6
    Hilbert, Zermelo und die Institutionalisierung der mathematischen Logik in Deutschland†.Volker Peckhaus - 1992 - Berichte Zur Wissenschaftsgeschichte 15 (1):27-38.
    This paper presents the history of the first German lectureship for mathematical logic based on a ministerial commission, to which the Göttingen mathematician Ernst Zermelo was appointed in 1907. The lectureship is shown as imbedded in the intellectual history of mathematical logic which was at that time determined by the discussion of the set theoretical and logical paradoxes. Although Zermelo's early set theoretic papers can be regarded, and were in fact regarded in the Göttingen mathematicians' application for the lectureship, as (...)
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  14.  8
    Pro and Contra Hilbert: Zermelo’s Set Theories.Volker Peckhaus - 2005 - Philosophia Scientiae:199-215.
  15.  23
    Benno kerry beiträge zu seiner biographie.Volker Peckhaus - 1994 - History and Philosophy of Logic 15 (1):1-8.
    When Benno Kerry (1858?89) died at the age of 30 he was already well?known for his competent and thoroughgoing philosophical criticism of Cantor?s set theory and Frege?s early philosophy of mathematics.Before his death he was working on a theory of limits (Grenzbegriffe) which was an elaboration of his Habilitationsschrift of 1884 and of which only a first part was published posthumously.This paper gives a survey of Kerry?s basic biographical data, and a first description of his Habilitationsschrift which had been missing (...)
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  16.  12
    Russell's Paradox [Review of Alejandro Garciadiego, Bertrand Russell and the Origins of the Set-Theoretic `Paradoxes'].Volker Peckhaus - 1997 - Russell: The Journal of Bertrand Russell Studies 17 (2).
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  17.  50
    Georg Misch, Logik Und Einführung in Die Grundlagen Des Wissens. Die Macht der Antiken Tradition in der Logik Und Die Gegenwärtige Lage.Volker Peckhaus - 2002 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 33 (1):197-204.
  18.  10
    William Ewald and Wilfried Sieg , Michael Hallett , David Hilbert’s Lectures on the Foundations of Arithmetic and Logic 1917–1933. In Collaboration with Ulrich Majer and Dirk Schlimm , Springer-Verlag: Berlin and Heidelberg, 2013, Xxvi + 1062 Pp. ISBN 978-3-540-20578-4 $129.00, $86.37. [REVIEW]Volker Peckhaus - 2017 - Studia Logica 105 (3):669-671.
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  19.  21
    Language And Logic In German Post-Hegelian Philosophy.Volker Peckhaus - 2008 - The Baltic International Yearbook of Cognition, Logic and Communication 4.
    The German debates concerning the need for a reform of logic in post-Hegelian times took place under the label “The logical question”, a label introduced by Friedrich Adolf Trendelenburg. The main objective of these debates was to overcome the Hegelian identification of logic and metaphysics without re-establishing the old Aristotelian-scholastic formal logic. This paper presents the positions developed by Friedrich Adolf Trendelenburg, Otto Friedrich Gruppe, and Carl v. Prantl, each of whom advocated the importance of language in logic in order (...)
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  20.  12
    Case Studies Towards the Establishment of a Social History of Logic.Volker Peckhaus - 1986 - History and Philosophy of Logic 7 (2):185-186.
    The Deutsche Forschungsgemeinschaft (DFG)is supporting a research project entitled ?Case studies towards the establishment of a social history of logic? with a grant, initially for two years. The project is being carried out by a team of five members under the direction of Professor Christian Thiel in the Institut für Philosophie and the Interdisziplinäres Institut für Wissenschaftstheorie und Wissenschaftsgeschichte (IIWW) of the University of Erlangen-Nürnberg.
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  21. Logic in Transition: The Logical Calculi of Hilbert and Zermelo.Volker Peckhaus - 1994 - In ¸ Iteprawitz1994. Kluwer Academic Publishers. pp. 311--323.
     
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  22.  35
    Frank-Peter Hansen, Geschichte der Logik Des 19. Jahrhunderts. Eine Kritische Einführung in Die Anfänge der Erkenntnis- Und Wissenschaftstheorie.Volker Peckhaus - 2002 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 33 (1):191-196.
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  23.  18
    Scientific Progress and Changes in Hierarchies of Scientific Disciplines.Volker Peckhaus - 2000 - In Emily Grosholz & Herbert Breger (eds.), The Growth of Mathematical Knowledge. Kluwer Academic Publishers. pp. 363--376.
  24.  17
    Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference “Bsl VII 376” Refers to the Review Beginning on Page 376 in Volume 7 of This Bulletin, Or. [REVIEW]David M. Evans, Erich Grädel, Geoffrey P. Hellman, Denis Hirschfeldt, Thomas J. Jech, Julia Knight, Michael C. Laskowski, Volker Peckhaus, Wolfram Pohlers & Sławomir Solecki - 2005 - Bulletin of Symbolic Logic 11 (1):37.
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  25.  17
    Psychologism and the Distinction Between Discovery and Justification.Volker Peckhaus - 2006 - In Jutta Schickore & Friedrich Steinle (eds.), Revisiting Discovery and Justification. Springer. pp. 99--116.
    The distinction between the contexts of discovery and justification has left a turbulent wake in the philosophy of science. This book recognizes the need to re-open the debate about the nature, development, and significance of the context distinction, about its merits and flaws. The discussion clears the ground for the productive and fruitful integration of these new developments into philosophy of science.
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  26.  29
    Leibniz's Influence on 19th Century Logic.Volker Peckhaus - 2010 - Stanford Encyclopedia of Philosophy.
  27.  28
    Helena M. Pycior, Symbols, Impossible Numbers, and Geometric Entanglement. British Algebra Through the Commentaries on Newton's Universal Arithmetick.Volker Peckhaus - 1998 - Erkenntnis 49 (3):415-419.
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  28.  23
    Ansgar Beckermann, Einführung in Die Logik.Volker Peckhaus - 1999 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 30 (1):176-178.
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  29.  12
    Moral Integrity During a Difficult Period: Beth and Scholz.Volker Peckhaus - 2000 - Philosophia Scientiae 3 (4):151-173.
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  30.  9
    Ernst Schröder on Pasigraphy.Volker Peckhaus - 2014 - Revue d'Histoire des Sciences 67 (2):207.
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  31. Books to Asl, Box 742, Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference. [REVIEW]Mirna Dzamonja, David M. Evans, Erich Grädel, Geoffrey P. Hellman, Denis Hirschfeldt, Julia Knight, Michael C. Laskowski, Roger Maddux, Volker Peckhaus & Wolfram Pohlers - 2005 - Bulletin of Symbolic Logic 11 (2).
     
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  32.  23
    Logic and Metaphysics: Heinrich Scholz and the Scientific World View.Volker Peckhaus - 2008 - Philosophia Mathematica 16 (1):78-90.
    The anti-metaphysical attitude of the neo-positivist movement is notorious. It is an essential mark of what its members regarded as the scientific world view. The paper focuses on a metaphysical variation of the scientific world view as proposed by Heinrich Scholz and his Münster group, who can be regarded as a peripheral part of the movement. They used formal ontology for legitimizing the use of logical calculi. Scholz's relation to the neo-positivist movement and his contributions to logic and foundations are (...)
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  33.  6
    Rudolf Seising. The Fuzzification of Systems: The Genesis of Fuzzy Set Theory and Its Initial Applications: Developments Up to the 1970s. Xxv + 412 Pp., Illus., Bibl., Indexes. New York: Springer, 2007. $169. [REVIEW]Volker Peckhaus - 2010 - Isis 101 (4):908-909.
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  34.  9
    The Axiomatic Method and Ernst Schröder's Algebraic Approach to Logic.Volker Peckhaus - 1996 - Philosophia Scientiae 1 (3):1-15.
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  35.  4
    The Way of Logic Into Mathematics.Volker Peckhaus - 1997 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 12 (1):39-64.
    Using a contextual method the specific development of logic between c. 1830 and 1930 is explained. A characteristic mark of this period is the decomposition of the complex traditional philosophical omnibus discipline logic into new philosophical subdisciplines and separate disciplines such as psychology, epistemology, philosophy of science, and formal logic. In the 19th century a growing foundational need in mathematics provoked the emergence of a structural view on mathematics and the reformulation of logic for mathematical means. As a result formallogic (...)
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  36.  8
    Menzler-Trott Eckart. Gentzens Problem. Mathematische Logik im nationalsozialistischen Deutschland. Mit einem Essay von Jan von Plato. Birkhäuser Verlag, Basel, Boston, Berlin, 2001, xviii+ 411 pp. [REVIEW]Volker Peckhaus - 2003 - Bulletin of Symbolic Logic 9 (4):508-510.
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  37.  12
    Essay Review.Dale Jacquette & Volker Peckhaus - 1997 - History and Philosophy of Logic 18 (2):109-114.
    P. M. S. Hacker, Wittgenstein?s place in twentieth-century analytic philosophy:Oxford Blackwell, 1996. xviii + 346 pp. £50.00 $54.00 (cloth); £14.99 $21.95 (paper) Jarmo Pulkkinen, The threat of logical mathematism. A study on the critique of mathematical logic in Germany at the turn of the 20th century. Frankfurt a.M:Peter Lang, 1994. Scandinavian University Studies in the Humanities and Social Sciences; 7). 186 pp. 24 DM. ISBN 3-631-47409-1.
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  38.  12
    Essay Review.Volker Peckhaus - 1997 - History and Philosophy of Logic 18 (2):115-120.
    Jarmo Pulkkinen, The threat of logical mathematism. A study on the critique of mathematical logic in Germany at the turn of the 20th century. Frankfurt a.M:Peter Lang, 1994. Scandinavian University Studies in the Humanities and Social Sciences; 7). 186 pp. 24 DM. ISBN 3-631-47409-1.
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  39.  4
    Gentzens Problem. Mathematische Logik im nationalsozialistischen Deutschland. Mit einem Essay von Jan von Plato.Volker Peckhaus - 2003 - Bulletin of Symbolic Logic 9 (4):508-510.
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  40.  5
    Martin Kusch: Psychologism. A Case Study in the Sociology of Philosophical Knowledge. London/New York: Routledge 1995. xviii + 327 Seiten. Gebunden UK £ 45.00, Paperback UK £ 14.99. [REVIEW]Volker Peckhaus - 1999 - Berichte Zur Wissenschaftsgeschichte 22 (1):33-34.
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  41.  5
    Rezension: Eine Disziplin und ihre Verleger. Disziplinen-kultur und Publikationswesen der Mathematik in Deutschland, 1871–1949 von Volker Remmert, Ute Schneider. [REVIEW]Volker Peckhaus - 2011 - Berichte Zur Wissenschaftsgeschichte 34 (4):385-387.
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  42. Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference “Bsl VII 376” Refers to the Review Beginning on Page 376 in Volume 7 of This Bulletin, Or. [REVIEW]Anuj Dawar Beklemishev, Mirna Dzamonja, David Evans, Erich Grädel, Denis Hirschfeldt, Hannes Leitgeb, Roger Maddux, Grigori Mints, Volker Peckhaus & Sławomir Solecki - 2008 - Bulletin of Symbolic Logic 14 (4).
     
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  43.  5
    Schröder's Logic.Volker Peckhaus - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 3--557.
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  44.  4
    Books to ASL, Box 742, Vassar College, 124 Raymond Avenue, Poughkeepsie, NY 12604, USA.Julia Knight, Michael C. Laskowski, Roger Maddux, Volker Peckhaus & Wolfram Pohlers - 2004 - Bulletin of Symbolic Logic 10 (3).
  45.  4
    The Fuzzification of Systems: The Genesis of Fuzzy Set Theory and Its Initial Applications: Developments Up to the 1970s. [REVIEW]Volker Peckhaus - 2010 - Isis: A Journal of the History of Science 101:908-909.
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  46.  5
    The Third Man: Kurt Grelling and the Berlin Group.Volker Peckhaus - 2013 - In Nikolay Milkov & Volker Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism. Springer. pp. 231--244.
  47.  4
    Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference" Bsl VII 376" Refers to the Review Beginning on Page 376 in Volume 7 of This Bulletin, or to the Publication There Reviewed." Jsl Lv 347" Refers to One of the Reviews or One of the Publications Reviewed or Listed on Page 347 of Volume 55 of the Journal, with Reliance On. [REVIEW]Denis Hirschfeldt, Hannes Leitgeb, Roger Maddux, Grigori Mints & Volker Peckhaus - 2008 - Bulletin of Symbolic Logic 14 (3).
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  48.  3
    André Weil: Lehr- und Wanderjahre eines Mathematikers. Aus dem Französischen von Theresia Übelhör. Basel, Boston, Berlin: Birkhäuser Verlag 1993. 212 Seiten, 15 Abbildungen, gebunden mit Schutzumschlag, DM 58,-. [REVIEW]Volker Peckhaus - 1995 - Berichte Zur Wissenschaftsgeschichte 18 (4):256-257.
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  49.  3
    Einleitung: Räume zwischen Materialisierung und Idealisierung.Bettina Wahrig & Volker Peckhaus - 2011 - Berichte Zur Wissenschaftsgeschichte 34 (2):99-101.
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  50.  2
    Language And Logic In German Post-Hegelian Philosophy.Volker Peckhaus - 2008 - The Baltic International Yearbook of Cognition, Logic and Communication 4.
    The German debates concerning the need for a reform of logic in post-Hegelian times took place under the label “The logical question”, a label introduced by Friedrich Adolf Trendelenburg. The main objective of these debates was to overcome the Hegelian identification of logic and metaphysics without re-establishing the old Aristotelian-scholastic formal logic. This paper presents the positions developed by Friedrich Adolf Trendelenburg, Otto Friedrich Gruppe, and Carl v. Prantl, each of whom advocated the importance of language in logic in order (...)
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