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  1. 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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    Volltext (lizenzpflichtig)
    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.
  2. 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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    Content information
    Source: Staatsbibliothek zu Berlin
    Language: German
    Media type: Book
    Format: Print
    ISBN: 3770515811
    RVK Categories: EC 2490 ; EC 3000 ; GM 1712
    Series: Array ; 28
    Subjects: Mathematics and literature; Combinatorial analysis; Logic, Symbolic and mathematical
    Scope: 236 S., graph. Darst.
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    Literaturverz. S. 218 - 227
  3. Mathematische Logik von 1847 bis zur Gegenwart
    eine bibliometrische Untersuchung
    Author: Wagner-Döbler, Roland; Berg, Jan
    Published: 1993
    Publisher:  <<de>> Gruyter, Berlin [u.a.]

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    Source: Union catalogues
    Language: German
    Media type: Book
    Format: Print
    ISBN: 3110139871
    RVK Categories: CC 2000 ; CC 2200 ; CC 2600 ; SG 590
    Series: Grundlagen der Kommunikation und Kognition
    Subjects: Array; Array
    Scope: VII, 271 S., zahlr. graph. Darst.
    Notes:

    Literaturverz. S. [253] - 265
  4. <<A>> structuralist theory of logic
    Author: Koslow, Arnold
    Published: 1992
    Publisher:  Cambridge Univ. Press, Cambridge [u.a.]

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 0521412676
    RVK Categories: CC 2600 ; SK 130
    Edition: 1. publ.
    Subjects: Logic, Symbolic and mathematical; Implication (Logic); Structuralism
    Scope: XI, 418 S., graph. Darst.
    Notes:

    Literaturverz. S. [410] - 413
  5. Proof, computation and agency
    logic at the crossroads
    Contributor: Benthem, Johan <<van>> (Publisher)
    Published: 2011
    Publisher:  Springer, Dordrecht [u.a.]

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    Source: Union catalogues
    Contributor: Benthem, Johan <<van>> (Publisher)
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9400700792; 9789400700796; 9789400709201; 9789400700802
    RVK Categories: CC 2600
    Series: Synthese library ; 352
    Subjects: Philosophy (General); Logic; Philosophy, modern; Computer science; Logic, Symbolic and mathematical
    Scope: XXIV, 371 S., Ill., graph. Darst., 24 cm
    Notes:

    Literaturangaben
  6. <<A>> structuralist theory of logic
    Author: Koslow, Arnold
    Published: 2005
    Publisher:  Cambridge Univ. Press, Cambridge [u.a.]

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9780521412674; 0521412676; 9780521023726; 0521023726
    RVK Categories: CC 2600 ; SK 130
    Edition: 1. digit. print., 1. publ. 1992
    Subjects: Logic, Symbolic and mathematical; Implication (Logic); Structuralism
    Scope: XI, 418 S., graph. Darst.
    Notes:

    Literaturverz. S. [410] - 413
  7. Mono-perspective views of multi-perspectivity
    information systems modeling and "the blind men and the elephant"
    Author: Feistner, Edith; Holl, Alfred
    Published: 2006
    Publisher:  Växjö Univ. Press, Växjö

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 917636500X
    RVK Categories: ST 270 ; EC 7260 ; ST 515
    Series: Acta Wexionensia : Information systems ; 87
    Subjects: System design; Logic, Symbolic and mathematical; Elephants
    Scope: 88 S.
    Notes:

    Literaturverz. S. 83 - 86
  8. Discovering patterns in mathematics and poetry
    Author: Birken, Marcia; Coon, Anne C.
    Published: 2008
    Publisher:  Rodopi, Amsterdam [u.a.]

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9789042023703
    RVK Categories: EC 2490
    Series: Internationale Forschungen zur allgemeinen und vergleichenden Literaturwissenschaft ; 116
    Subjects: Poetics; Logic, Symbolic and mathematical; Mathematics and literature; Pattern perception; Word problems (Mathematics)
    Scope: 213 S., Ill., graph. Darst.
    Notes:

    Literaturverz. S. [199] - 205
  9. Kłamstwo kłamcy i zbiór zbiorów
    o problemie antynomii
    Author: Tworak, Zbigniew
    Published: 2004
    Publisher:  Wydawn. Naukowe UAM, Poznań

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    Source: Union catalogues
    Language: Polish
    Media type: Book
    Format: Print
    ISBN: 8323213550
    RVK Categories: CC 2500 ; CC 4800
    Series: Seria Filozofia i logika ; 89
    Subjects: Antinomy; Logic, Symbolic and mathematical; Semantics (Philosophy); Truth
    Scope: 335 S., 21 cm
    Notes:

    Literaturverz. S. 312 - [323]- Zsfassung in engl. Sprache
  10. Prinzipien zur strukturellen Sprachanalyse
    (Anwendung logisch-positivistischer Sprachanalyse)
    Author: Abdulla, Yasin Khalil
    Published: 1960
    Publisher:  Kramer, Münster, Westf.

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    Source: Staatsbibliothek zu Berlin; Philologische Bibliothek, FU Berlin
    Language: German
    Media type: Dissertation
    RVK Categories: ER 765
    Subjects: Grammatik; Grammar, Comparative and general; Logic, Symbolic and mathematical; Strukturelle Linguistik
    Scope: VII, 253 S.
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    Zugl.: Münster, Univ., Diss., 1961
  11. Aktion - Reaktion
    Zur Aktionslogik zweiphasiger narrativer Einheiten: Wiederherstellung, Vergeltung
    Author: Sladek, August
    Published: 1979
    Publisher:  Narr, Tübingen

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    Source: Philologische Bibliothek, FU Berlin; Staatsbibliothek zu Berlin
    Language: German
    Media type: Book
    ISBN: 3878081030
    RVK Categories: ER 620 ; ET 760 ; ET 790
    Series: Tübinger Beiträge zur Linguistik. ; 103.
    Subjects: Discourse analysis; Logic, Symbolic and mathematical; Handlung; Erzählforschung; Handlungslogik
    Scope: 476 S.
  12. Discovering patterns in mathematics and poetry
    Author: Birken, Marcia; Coon, Anne C.
    Published: 2008
    Publisher:  Rodopi, Amsterdam

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    Source: Staatsbibliothek zu Berlin
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    ISBN: 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)
    Scope: 213 S., Ill., graph. Darst.
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  13. Proof, computation and agency
    logic at the crossroads
    Contributor: Benthem, Johan van (Hrsg.)
    Published: 2011
    Publisher:  Springer, Dordrecht [u.a.]

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    Verlag (Inhaltsverzeichnis)
    Source: Staatsbibliothek zu Berlin
    Contributor: Benthem, Johan van (Hrsg.)
    Language: English
    Media type: Book
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    ISBN: 9400700792; 9789400700796; 9789400709201
    RVK Categories: CC 2600
    Series: Synthese library ; 352
    Subjects: Computer science; Logic; Logic, Symbolic and mathematical; Philosophy (General); Philosophy, modern
    Scope: XXIV, 371 S., Ill.
  14. Mono-perspective views of multi-perspectivity
    information systems modeling and "The blind men and the elephant"
    Author: Feistner, Edith; Holl, Alfred
    Published: 2006
    Publisher:  Växjö Univ. Press, Växjö

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    Source: Staatsbibliothek zu Berlin
    Language: English
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    ISBN: 917636500X
    RVK Categories: EC 7260 ; ST 515 ; SR 990 ; ST 680 ; ST 270
    Series: Array ; 87
    Subjects: System design; Logic, Symbolic and mathematical; Elephants
    Scope: 88 S.
  15. Basic laws of arithmetic
    derived using concept-script ; vol. I & II
    Contributor: Frege, Gottlob (Hrsg.); Frege, Gottlob; Wright, Crispin (Hrsg.)
    Published: 2013
    Publisher:  Oxford Univ. Press, Oxford

    The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The... more

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    The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege's formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege's logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russells letter in an afterword to volume II. The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work. Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege's formal system by Roy T. Cook. Readership: Scholars and advanced students in philosophy of logic, philosophy of mathematics, and early analytic philosophy --

     
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    Source: Union catalogues
    Contributor: Frege, Gottlob (Hrsg.); Frege, Gottlob; Wright, Crispin (Hrsg.)
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9780199281749
    RVK Categories: SG 700 ; SK 130 ; CG 3397
    Edition: Vol. I & II, 1. ed.
    Subjects: Arithmetic; Logic, Symbolic and mathematical; Mathematics
    Other subjects: Array; Logic, Symbolic and mathematical
    Scope: Getr. Zählung, 24 cm
    Notes:

    Includes bibliographical references

    Translated from the German. - Includes bibliographical references

    Crispin WrightTranslator's introduction / Philip A. Ebert and Marcus Rossberg: Foreword

    Gottlob Frege: Basic laws of arithmetic

    Roy T. Cook.: First volume: Foreword, Table of contents, Introduction, Part I: Exposition of the concept-script, Part II: Proofs of the basic laws of cardinal number, Appendices ; Second volume: Table of contents, Part II: Proofs of the basic laws of cardinal number (continued), Part III: The real numbers, Appendices, Afterword ; Translator's notes ; Corrections ; Bibliography ; Appendix: How to read Grundgesetze
  16. 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
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    Series: International studies in the history of rhetoric ; volume 15
    Subjects: Dialectic; Logic, Symbolic and mathematical
    Scope: 1 Online-Ressource (viii, 495 Seiten)
  17. 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)
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    Title from publisher's bibliographic system (viewed on 05 Oct 2015)