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  1. Der Untergang von Mathemagika
    Ein Roman über eine Welt jenseits unserer Vorstellung
    Author: Kühlemann, Carl Gottlob
    Published: 2015
    Publisher:  Springer Spektrum, Berlin [u.a.]

    Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge! In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine... more

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    Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge! In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine bezaubernde Prinzessin - und einen der verrücktesten Sätze der Mathematik: das Banach-Tarski-Paradoxon. Es behauptet zum Beispiel, dass man eine Kugel von Erbsengröße in endlich vielen Teilen zu einer Kugel von Sonnengröße umbauen kann. Unmöglich? Der Untergang von Mathemagika ist eine neuartige Darstellung von Mathematik, die fesselt und hineinzieht. Es ist ein Vergnügen zu lesen, wie sich eins zum anderen fügt und am Ende alles zusammenpasst. Stimme zum Buch:  „Dass ein mathematischer Satz in der Hauptrolle ein so herrliches Theater machen kann, begeistert mich: Math Fiction mit Witz, Dramatik und Tiefe.“ Prof. Dr. Thomas Bedürftig, Universität Hannover Über den Autor: Karl Kuhlemann hat in Münster Mathematik studiert und arbeitet als Berater für Informationssicherheit. Die mathematischen Grundlagenfragen haben ihn seit dem Studium nicht mehr losgelassen. Der Untergang von Mathemagika ist sein erster Roman

     
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    Volltext (lizenzpflichtig)
    Source: Union catalogues
    Language: German
    Media type: Ebook
    Format: Online
    ISBN: 9783662459799
    Other identifier:
    RVK Categories: SN 300
    Subjects: Science (General); Logic, Symbolic and mathematical
    Scope: Online-Ressource (VIII, 171 S.), Ill
    Notes:

    1 Die Tonne des Diogenes2 Die Fütterung der Pinguine -- 3 Der König -- 4 Das Denkmal -- 5 Das Volk der Ausdehnungslosen I -- 6 Die Schlange -- 7 Das Volk der Ausdehnungslosen II -- 8 Die verrückten Schwestern -- 9 Der Krisenstab -- 10 Die Flucht -- 11 Die Prinzessin -- 12 Der Antilogos -- 13 Schluss.
  2. The dialectical questions
    Erotemata dialectices
    Author: Melanchthon, Philipp
    Published: [2021]; © 2021
    Publisher:  Brill, Leiden ; Boston

    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era... more

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    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era when rhetoric and dialectic were seen as interdependent, companion arts, Melanchthon's textbook was widely used in Protestant Latin schools and universities during the Reformation. The translation tracks revisions to the text across its lifetime editions (1547-1560) and traces its classical sources. The introduction chronicles the personal and political upheavals that Melanchthon experienced during its composition, and provides an overview of its rich and complex content. It then focuses on the unique feature that sets this work apart from other early modern dialectics: its many sample arguments drawn from medicine and natural philosophy"--

     
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    Source: Union catalogues
    Contributor: Fahnestock, Jeanne (Übersetzer)
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789004466388
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    Series: International studies in the history of rhetoric ; volume 15
    Subjects: Dialektik; Argumentation; Rhetorik
    Other subjects: Dialectic; Logic, Symbolic and mathematical
    Scope: 1 Online-Ressource (viii, 495 Seiten)
  3. Der Untergang von Mathemagika
    Ein Roman über eine Welt jenseits unserer Vorstellung
    Author: Kühlemann, Carl Gottlob
    Published: 2015
    Publisher:  Springer Spektrum, Berlin [u.a.]

    Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge! In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine... more

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    Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge! In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine bezaubernde Prinzessin - und einen der verrücktesten Sätze der Mathematik: das Banach-Tarski-Paradoxon. Es behauptet zum Beispiel, dass man eine Kugel von Erbsengröße in endlich vielen Teilen zu einer Kugel von Sonnengröße umbauen kann. Unmöglich? Der Untergang von Mathemagika ist eine neuartige Darstellung von Mathematik, die fesselt und hineinzieht. Es ist ein Vergnügen zu lesen, wie sich eins zum anderen fügt und am Ende alles zusammenpasst. Stimme zum Buch:  „Dass ein mathematischer Satz in der Hauptrolle ein so herrliches Theater machen kann, begeistert mich: Math Fiction mit Witz, Dramatik und Tiefe.“ Prof. Dr. Thomas Bedürftig, Universität Hannover Über den Autor: Karl Kuhlemann hat in Münster Mathematik studiert und arbeitet als Berater für Informationssicherheit. Die mathematischen Grundlagenfragen haben ihn seit dem Studium nicht mehr losgelassen. Der Untergang von Mathemagika ist sein erster Roman

     
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    Source: Union catalogues
    Language: German
    Media type: Ebook
    Format: Online
    ISBN: 9783662459799
    Other identifier:
    RVK Categories: SN 300
    Subjects: Science (General); Logic, Symbolic and mathematical
    Scope: Online-Ressource (VIII, 171 S.), Ill
    Notes:

    1 Die Tonne des Diogenes2 Die Fütterung der Pinguine -- 3 Der König -- 4 Das Denkmal -- 5 Das Volk der Ausdehnungslosen I -- 6 Die Schlange -- 7 Das Volk der Ausdehnungslosen II -- 8 Die verrückten Schwestern -- 9 Der Krisenstab -- 10 Die Flucht -- 11 Die Prinzessin -- 12 Der Antilogos -- 13 Schluss.
  4. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
    Author: Montano, Ulianov
    Published: 2014
    Publisher:  Springer International Publishing, Cham [u.a.]

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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9783319034522
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    Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
    Subjects: Ästhetik; Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical; Mathematik; Ästhetik
    Scope: 1 Online-Ressource (XVIII, 220 p), Ill., graph. Darst.
  5. Discovering patterns in mathematics and poetry
    Author: Birken, Marcia
    Published: 2008
    Publisher:  Rodopi, Amsterdam

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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9042023708; 9789042023703
    RVK Categories: EC 2490
    Series: Internationale Forschungen zur allgemeinen und vergleichenden Literaturwissenschaft ; 116
    Subjects: Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics); Lyrik; Mathematik
    Scope: 213 p.
    Notes:

    Includes bibliographical references (p. [199]-205) and index
  6. Discovering patterns in mathematics and poetry
    Author: Birken, Marcia
    Published: 2008
    Publisher:  Rodopi, Amsterdam

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    Kunsthistorisches Institut in Florenz, Max-Planck-Institut, Bibliothek
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    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9042023708; 9789042023703
    RVK Categories: EC 2490
    Series: Internationale Forschungen zur allgemeinen und vergleichenden Literaturwissenschaft ; 116
    Subjects: Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics); Lyrik; Mathematik
    Scope: 213 p.
    Notes:

    Includes bibliographical references (p. [199]-205) and index
  7. Symbolismus und symbolische Logik
    die Idee der Ars Combinatoria in der Entwicklung der modernen Dichtung
    Author: Neubauer, John
    Published: 1978
    Publisher:  Fink, München

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    Source: Union catalogues
    Language: German
    Media type: Ebook
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    ISBN: 3770515811
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    RVK Categories: EC 2490 ; EC 3000 ; GM 1712
    Series: Humanistische Bibliothek ; 28
    Subjects: Combinatorial analysis; Logic, Symbolic and mathematical; Mathematics and literature; Literatur; Poetik; Imagination; Naturwissenschaften; Kombinatorik
    Scope: 236 S., Ill.
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    Volltext // 2009 digitalisiert von: Bayerische Staatsbibliothek, München. Exemplar der Bayerischen Staatsbibliothek mit der Signatur: Z 69.1039,I-27/28#28
  8. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
    Author: Montano, Ulianov
    Published: 2014
    Publisher:  Springer International Publishing, Cham

    This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is... more

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    This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities

     
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9783319034522
    Other identifier:
    RVK Categories: SG 700
    Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
    Array
    Subjects: Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical; Philosophy; Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical
    Scope: Online-Ressource (XVIII, 220 p, online resource)
    Notes:

    Description based upon print version of record

    IntroductionPart 1. Antecedents -- Chapter 1. On Non-literal Approaches -- Chapter 2. Beautiful, Literally -- Chapter 3. Ugly, Literally -- Chapter 4. Problems of the Aesthetic Induction -- Chapter 5. Naturalizing the Aesthetic Induction -- Part 2. An Aesthetics of Mathematics -- Chapter 6. Introduction to a Naturalistic Aesthetic Theory -- Chapter 7. Aesthetic Experience -- Chapter 8. Aesthetic Value -- Chapter 9. Aesthetic Judgement I: Concept -- Chapter 10. Aesthetic Judgement II: Functions -- Chapter 11. Mathematical Aesthetic Judgements -- Part 3. Applications -- Chapter 12. Case Analysis I: Beauty -- Chapter 13. Case Analysis II: Elegance -- Chapter 14. Case Analysis III: Ugliness, Revisited -- Chapter 15. Issues of Mathematical Beauty, Revisited.
  9. Discovering Patterns in Mathematics and Poetry.
    Author: Birken, Marcia
    Published: 2008; ©2008.
    Publisher:  Editions Rodopi, Amsterdam

    You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry - bringing the two fields together in a new way.Setting the tone with humor and illustrating... more

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    You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry - bringing the two fields together in a new way.Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression?The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries. Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery. Intro -- Discovering Patterns in Mathematics and Poetry -- Preface -- Table of Contents -- Introduction -- Chapter 1 - Counting Patterns -- Chapter 2 -Counting Patterns Take Form -- Chapter 3 - Patterns of Shape -- Chapter 4 - Fractal Patterns -- Chapter 5 - Patterns for the Mind -- Chapter 6 - Conclusion -- Bibliography -- Index.

     
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    Source: Union catalogues
    Contributor: Coon, Anne C. (MitwirkendeR)
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789401205610
    RVK Categories: EC 2490
    Series: Internationale Forschungen zur Allgemeinen und Vergleichenden Literaturwissenschaft, 116 ; v.v. 116
    Internationale Forschungen Zur Allgemeinen und Vergleichenden Literaturwissenschaft Ser. ; v.v. 116
    Subjects: Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics); Electronic books ; local; Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics); Electronic books; Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics)
    Scope: 1 online resource (214 pages)
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    Description based on publisher supplied metadata and other sources
  10. Structural reality
    Author: Burgin, M. S.
    Published: 2012
    Publisher:  Nova Science Publishers, Hauppauge, New York

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    Hochschule Albstadt-Sigmaringen, Bibliothek Sigmaringen
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9781620816516
    RVK Categories: SK 130
    Edition: Online-Ausg.
    Series: Mathematics research developments
    Subjects: Logic, Symbolic and mathematical; Model categories (Mathematics); Hylomorphism
    Other subjects: Logic, Symbolic and mathematical; Model categories (Mathematics); Hylomorphism
    Scope: Online-Ressource (1 online resource (197 pages)), illustrations.
    Notes:

    Includes bibliographical references and index. - Description based on print version record
  11. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
    Author: Montano, Ulianov
    Published: 2014
    Publisher:  Springer International Publishing, Cham

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    Universitätsbibliothek Paderborn
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    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9783319034522
    Other identifier:
    Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
    Subjects: Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical; Ästhetik; Mathematik
    Scope: XVIII, 220 p
  12. A structuralist theory of logic
    Author: Koslow, Arnold
    Published: 1992; Mai 2010
    Publisher:  Cambridge University Press, Cambridge

    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of... more

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    Staatsbibliothek zu Berlin - Preußischer Kulturbesitz, Haus Unter den Linden
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    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual, are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics

     
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    Source: Staatsbibliothek zu Berlin
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9780511609206
    Other identifier:
    RVK Categories: CC 2600
    Subjects: Structuralism; Implication (Logic); Logic, Symbolic and mathematical; Mathematische Logik; Strukturalismus; Logic, Symbolic and mathematical; Implication (Logic); Structuralism
    Scope: 1 Online-Ressource (xi, 418 pages), digital, PDF file(s)
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    Title from publisher's bibliographic system (viewed on 05 Oct 2015)
  13. The dialectical questions
    Erotemata dialectices
    Author: Melanchthon, Philipp
    Published: [2021]
    Publisher:  Brill, Leiden

    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era... more

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    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era when rhetoric and dialectic were seen as interdependent, companion arts, Melanchthon's textbook was widely used in Protestant Latin schools and universities during the Reformation. The translation tracks revisions to the text across its lifetime editions (1547-1560) and traces its classical sources. The introduction chronicles the personal and political upheavals that Melanchthon experienced during its composition, and provides an overview of its rich and complex content. It then focuses on the unique feature that sets this work apart from other early modern dialectics: its many sample arguments drawn from medicine and natural philosophy"--

     
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    Source: Staatsbibliothek zu Berlin
    Contributor: Fahnestock, Jeanne (ÜbersetzerIn)
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789004466388
    Other identifier:
    Series: International studies in the history of rhetoric ; volume 15
    Subjects: Dialectic; Logic, Symbolic and mathematical
    Scope: 1 Online-Ressource (viii, 495 Seiten)
  14. <<The>> dialectical questions
    Erotemata dialectices
    Author: Melanchthon, Philipp
    Published: [2021]; © 2021
    Publisher:  Brill, Leiden ; Boston

    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era... more

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    Ruhr-Universität Bochum, Universitätsbibliothek
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    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era when rhetoric and dialectic were seen as interdependent, companion arts, Melanchthon's textbook was widely used in Protestant Latin schools and universities during the Reformation. The translation tracks revisions to the text across its lifetime editions (1547-1560) and traces its classical sources. The introduction chronicles the personal and political upheavals that Melanchthon experienced during its composition, and provides an overview of its rich and complex content. It then focuses on the unique feature that sets this work apart from other early modern dialectics: its many sample arguments drawn from medicine and natural philosophy"--

     
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    Source: Union catalogues
    Contributor: Fahnestock, Jeanne (Übersetzer)
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789004466388
    Other identifier:
    Series: International studies in the history of rhetoric ; volume 15
    Subjects: Dialectic; Logic, Symbolic and mathematical
    Scope: 1 Online-Ressource (viii, 495 Seiten)
  15. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
    Author: Montano, Ulianov
    Published: 2014
    Publisher:  Springer International Publishing, Cham

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    Universitätsbibliothek Paderborn
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9783319034522
    Other identifier:
    Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
    Subjects: Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical
    Scope: XVIII, 220 p
  16. Discovering patterns in mathematics and poetry
    Author: Birken, Marcia
    Published: 2008
    Publisher:  Rodopi, Amsterdam

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    Ostbayerische Technische Hochschule Amberg-Weiden / Hochschulbibliothek Amberg
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    Ostbayerische Technische Hochschule Amberg-Weiden, Hochschulbibliothek, Standort Weiden
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 1435633105; 9042023708; 9401205612; 9781435633100; 9789042023703; 9789401205610
    RVK Categories: EC 2490
    Series: Internationale Forschungen zur allgemeinen und vergleichenden Literaturwissenschaft ; 116
    Subjects: Mathematics; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; MATHEMATICS / Essays; Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Poetics; Word problems (Mathematics); Mathematik; Mathematics and literature; Logic, Symbolic and mathematical; Word problems (Mathematics); Poetics; Pattern perception; Lyrik; Mathematik
    Scope: 1 Online-Ressource (213 pages)
    Notes:

    Includes bibliographical references (pages 199-205) and index

    Discovering Patterns in Mathematics and Poetry; Preface; Table of Contents; Introduction; Chapter 1 -- Counting Patterns; Chapter 2 -Counting Patterns Take Form; Chapter 3 -- Patterns of Shape; Chapter 4 -- Fractal Patterns; Chapter 5 -- Patterns for the Mind; Chapter 6 -- Conclusion; Bibliography; Index

    You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry -- bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns f
  17. A structuralist theory of logic
    Author: Koslow, Arnold
    Published: 1992
    Publisher:  Cambridge University Press, Cambridge

    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of... more

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    Universitätsbibliothek Bamberg
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    Bayerische Staatsbibliothek
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    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual, are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics

     
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9780511609206
    Other identifier:
    RVK Categories: CC 2500 ; CC 2600 ; SK 130
    Subjects: Logic, Symbolic and mathematical; Implication (Logic); Structuralism; Strukturalismus; Mathematische Logik; Logik; Belnap-Programm
    Scope: 1 online resource (xi, 418 pages)
    Notes:

    Title from publisher's bibliographic system (viewed on 05 Oct 2015)
  18. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
    Author: Montano, Ulianov
    Published: 2014
    Publisher:  Springer International Publishing, Cham

    This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is... more

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    Universität Potsdam, Universitätsbibliothek
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    This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities

     
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9783319034522
    Other identifier:
    RVK Categories: SG 700
    Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
    Array
    Subjects: Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical; Philosophy; Philosophy (General); Aesthetics; Logic; Logic, Symbolic and mathematical
    Scope: Online-Ressource (XVIII, 220 p, online resource)
    Notes:

    Description based upon print version of record

    IntroductionPart 1. Antecedents -- Chapter 1. On Non-literal Approaches -- Chapter 2. Beautiful, Literally -- Chapter 3. Ugly, Literally -- Chapter 4. Problems of the Aesthetic Induction -- Chapter 5. Naturalizing the Aesthetic Induction -- Part 2. An Aesthetics of Mathematics -- Chapter 6. Introduction to a Naturalistic Aesthetic Theory -- Chapter 7. Aesthetic Experience -- Chapter 8. Aesthetic Value -- Chapter 9. Aesthetic Judgement I: Concept -- Chapter 10. Aesthetic Judgement II: Functions -- Chapter 11. Mathematical Aesthetic Judgements -- Part 3. Applications -- Chapter 12. Case Analysis I: Beauty -- Chapter 13. Case Analysis II: Elegance -- Chapter 14. Case Analysis III: Ugliness, Revisited -- Chapter 15. Issues of Mathematical Beauty, Revisited.
  19. The dialectical questions
    Erotemata dialectices
    Author: Melanchthon, Philipp
    Published: [2021]
    Publisher:  Brill, Leiden

    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era... more

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    Staatsbibliothek zu Berlin - Preußischer Kulturbesitz, Haus Potsdamer Straße
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    Universität Potsdam, Universitätsbibliothek
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    "The Dialectical Questions offers an English translation of the Erotemata Dialectices, the final and fullest textbook on the art of argumentation written by the reformer and educational innovator Philip Melanchthon (1497-1560). Representing an era when rhetoric and dialectic were seen as interdependent, companion arts, Melanchthon's textbook was widely used in Protestant Latin schools and universities during the Reformation. The translation tracks revisions to the text across its lifetime editions (1547-1560) and traces its classical sources. The introduction chronicles the personal and political upheavals that Melanchthon experienced during its composition, and provides an overview of its rich and complex content. It then focuses on the unique feature that sets this work apart from other early modern dialectics: its many sample arguments drawn from medicine and natural philosophy"--

     
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    Source: Staatsbibliothek zu Berlin
    Contributor: Fahnestock, Jeanne (ÜbersetzerIn)
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789004466388
    Other identifier:
    Series: International studies in the history of rhetoric ; volume 15
    Subjects: Dialectic; Logic, Symbolic and mathematical
    Scope: 1 Online-Ressource (viii, 495 Seiten)
  20. A structuralist theory of logic
    Author: Koslow, Arnold
    Published: 1992; Mai 2010
    Publisher:  Cambridge University Press, Cambridge

    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of... more

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    In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual, are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics

     
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    Volltext (lizenzpflichtig)
    Source: Staatsbibliothek zu Berlin
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9780511609206
    Other identifier:
    RVK Categories: CC 2600
    Subjects: Structuralism; Implication (Logic); Logic, Symbolic and mathematical; Mathematische Logik; Strukturalismus; Logic, Symbolic and mathematical; Implication (Logic); Structuralism
    Scope: 1 Online-Ressource (xi, 418 pages), digital, PDF file(s)
    Notes:

    Title from publisher's bibliographic system (viewed on 05 Oct 2015)