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Refinar búsquedaAround and Beyond the Square of Opposition / SpringerLink (Online service) ; Jean-Yves Béziau ; Jacquette, Dale (2012)
Título : Around and Beyond the Square of Opposition Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Jean-Yves Béziau ; Jacquette, Dale Editorial: Basel : Springer Basel Fecha de publicación: 2012 Colección: Studies in Universal Logic Número de páginas: X, 379 p. 152 illus., 19 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0379-3 Idioma : Inglés (eng) Palabras clave: Mathematics Logic Mathematical logic and Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition is a very attractive theme which has been going through centuries without evaporating. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world Nota de contenido: 1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition -- 3 The Square of Opposition and Non-Classical Logics -- 4 Constructions Generalizing the Square of Opposition -- 5 Applications of the Square of Opposition En línea: http://dx.doi.org/10.1007/978-3-0348-0379-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32883 Around and Beyond the Square of Opposition [documento electrónico] / SpringerLink (Online service) ; Jean-Yves Béziau ; Jacquette, Dale . - Basel : Springer Basel, 2012 . - X, 379 p. 152 illus., 19 illus. in color : online resource. - (Studies in Universal Logic) .
ISBN : 978-3-0348-0379-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Logic Mathematical logic and Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition is a very attractive theme which has been going through centuries without evaporating. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists of the square from all over the world Nota de contenido: 1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition -- 3 The Square of Opposition and Non-Classical Logics -- 4 Constructions Generalizing the Square of Opposition -- 5 Applications of the Square of Opposition En línea: http://dx.doi.org/10.1007/978-3-0348-0379-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32883 Ejemplares
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Título : Towards a General Theory of Classifications Tipo de documento: documento electrónico Autores: Parrochia, Daniel ; SpringerLink (Online service) ; Neuville, Pierre Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Studies in Universal Logic Número de páginas: XXIII, 304 p. 72 illus., 1 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0609-1 Idioma : Inglés (eng) Palabras clave: Mathematics Logic Information storage and retrieval Algebra Ordered algebraic structures Game theory Mathematical logic Foundations Order, Lattices, Algebraic Structures Theory, Economics, Social Behav. Sciences Storage Retrieval Clasificación: 51 Matemáticas Resumen: This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field Nota de contenido: Foreword -- 1 Philosophical problems -- 2 Information data structures -- 3 Empirical Clustering and classic hierarchies -- 4 Algebra of trees -- 5 Generalized Classifications -- 6 Topology of generalized classifications -- 7 Meta-classification -- 8 For an axiomatic theory of classifications -- 9 Alternative theories and higher infinite -- 10 Postscript -- Bibliography. En línea: http://dx.doi.org/10.1007/978-3-0348-0609-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32440 Towards a General Theory of Classifications [documento electrónico] / Parrochia, Daniel ; SpringerLink (Online service) ; Neuville, Pierre . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XXIII, 304 p. 72 illus., 1 illus. in color : online resource. - (Studies in Universal Logic) .
ISBN : 978-3-0348-0609-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Logic Information storage and retrieval Algebra Ordered algebraic structures Game theory Mathematical logic Foundations Order, Lattices, Algebraic Structures Theory, Economics, Social Behav. Sciences Storage Retrieval Clasificación: 51 Matemáticas Resumen: This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field Nota de contenido: Foreword -- 1 Philosophical problems -- 2 Information data structures -- 3 Empirical Clustering and classic hierarchies -- 4 Algebra of trees -- 5 Generalized Classifications -- 6 Topology of generalized classifications -- 7 Meta-classification -- 8 For an axiomatic theory of classifications -- 9 Alternative theories and higher infinite -- 10 Postscript -- Bibliography. En línea: http://dx.doi.org/10.1007/978-3-0348-0609-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32440 Ejemplares
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Título : Visual Reasoning with Diagrams Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Moktefi, Amirouche ; Shin, Sun-Joo Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Studies in Universal Logic Número de páginas: XV, 200 p. 139 illus., 13 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0600-8 Idioma : Inglés (eng) Palabras clave: Mathematics Logic Visualization Mathematical logic and Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning Nota de contenido: Preface -- 1. What is a logical diagram? (Catherine Legg) -- 2. The geometry of diagrams and the logic of syllogisms (Richard Bosley).- 3. A diagrammatic calculus of syllogisms (Ruggero Pagnan) -- 4. Beyond syllogisms: Carroll’s (marked) quadriliteral diagram (Amirouche Moktefi) -- 5. A diagrammatic bridge between classical and fuzzy logics (Ferdinando Cavaliere) -- 6. Diagrammatic reasoning with Classes and relationships (Jørgen Fischer Nilsson).- 7. On the completeness of spider diagrams augmented with constants (Gem Stapleton, John Howse, Simon Thompson, John Taylor and Peter Chapman) -- 8. A practice-based approach to diagrams (Valeria Giardino) -- 9. Figures, formulae, and functors (Zach Weber) -- 10. Diagrams and concepts of graph theory (Mitsuko Mizuno) En línea: http://dx.doi.org/10.1007/978-3-0348-0600-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32438 Visual Reasoning with Diagrams [documento electrónico] / SpringerLink (Online service) ; Moktefi, Amirouche ; Shin, Sun-Joo . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XV, 200 p. 139 illus., 13 illus. in color : online resource. - (Studies in Universal Logic) .
ISBN : 978-3-0348-0600-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Logic Visualization Mathematical logic and Foundations Mathematics, general Clasificación: 51 Matemáticas Resumen: Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning Nota de contenido: Preface -- 1. What is a logical diagram? (Catherine Legg) -- 2. The geometry of diagrams and the logic of syllogisms (Richard Bosley).- 3. A diagrammatic calculus of syllogisms (Ruggero Pagnan) -- 4. Beyond syllogisms: Carroll’s (marked) quadriliteral diagram (Amirouche Moktefi) -- 5. A diagrammatic bridge between classical and fuzzy logics (Ferdinando Cavaliere) -- 6. Diagrammatic reasoning with Classes and relationships (Jørgen Fischer Nilsson).- 7. On the completeness of spider diagrams augmented with constants (Gem Stapleton, John Howse, Simon Thompson, John Taylor and Peter Chapman) -- 8. A practice-based approach to diagrams (Valeria Giardino) -- 9. Figures, formulae, and functors (Zach Weber) -- 10. Diagrams and concepts of graph theory (Mitsuko Mizuno) En línea: http://dx.doi.org/10.1007/978-3-0348-0600-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32438 Ejemplares
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