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Author: Lutz Geldsetzer Publisher: Springer Science & Business Media ISBN: 9400753012 Category : Philosophy Languages : en Pages : 176
Book Description
This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.
Author: Lutz Geldsetzer Publisher: Springer Science & Business Media ISBN: 9400753012 Category : Philosophy Languages : en Pages : 176
Book Description
This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.
Author: Max Oelschlaeger Publisher: State University of New York Press ISBN: 1438414935 Category : Philosophy Languages : en Pages : 360
Book Description
This book explains the role of language in causing and in resolving the ecocrisis, showing that ecologically adaptive behavior can be facilitated through language. The authors explore the discourses of deep ecology, ecofeminism, Judeo-Christianity, quantum theory, and Native American world views, all to the end of empowering ecosocial change.
Author: Publisher: ISBN: Category : Languages : en Pages : 104
Book Description
The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.
Author: Béatrice Longuenesse Publisher: Princeton University Press ISBN: 0691214123 Category : Philosophy Languages : en Pages : 438
Book Description
Kant claims to have established his table of categories or "pure concepts of the understanding" according to the "guiding thread" provided by logical forms of judgment. By drawing extensively on Kant's logical writings, Béatrice Longuenesse analyzes this controversial claim, and then follows the thread through its continuation in the transcendental deduction of the categories, the transcendental schemata, and the principles of pure understanding. The result is a systematic, persuasive new interpretation of the Critique of Pure Reason. Longuenesse shows that although Kant adopts his inventory of the forms of judgment from logic textbooks of his time, he is nevertheless original in selecting just those forms he holds to be indispensable to our ability to relate representations to objects. Kant gives formal representation to this relation between conceptual thought and its objects by introducing the term "x" into his analysis of logical forms to stand for the object that is "thought under" the concepts that are combined in judgment. This "x" plays no role in Kant's forms of logical inference, but instead plays a role in clarifying the relation between logical forms (forms of concept subordination) and combinations ("syntheses") of perceptual data, necessary for empirical cognition. Considering Kant's logical forms of judgment thus helps illuminate crucial aspects of the Transcendental Analytic as a whole, while revealing the systematic unity between Kant's theory of judgment in the first Critique and his analysis of "merely reflective" (aesthetic and teleological) judgments in the third Critique.
Author: Maria M. Hedblom Publisher: Springer Nature ISBN: 3030473295 Category : Computers Languages : en Pages : 182
Book Description
In this book the author's theoretical framework builds on linguistic and psychological research, arguing that similar image-schematic notions should be grouped together into interconnected family hierarchies, with complexity increasing with regard to the addition of spatial and conceptual primitives. She introduces an image schema logic as a language to model image schemas, and she shows how the semantic content of image schemas can be used to improve computational concept invention. The book will be of value to researchers in artificial intelligence, cognitive science, psychology, and creativity.
Author: Edmund Husserl Publisher: Springer Science & Business Media ISBN: 9401000603 Category : Mathematics Languages : en Pages : 558
Book Description
This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.
Author: Alan Bundy Publisher: ISBN: Category : Mathematics Languages : en Pages : 344
Book Description
This review of the work done to date on the computer modelling of mathematical reasoning processes brings together a variety of approaches and disciplines within a coherent frame. A limited knowledge of mathematics is assumed in the introduction to the principles of mathematical logic. The plan of the book is such that students with varied backgrounds can find necessary information as quickly as possible. Exercises are included throughout the book.
Author: Olga Blanco-Carrión Publisher: John Benjamins Publishing Company ISBN: 9027264384 Category : Language Arts & Disciplines Languages : en Pages : 337
Book Description
The volume addresses a number of closely connected methodological, descriptive, and theoretical issues in the study of metonymy, and includes a series of case studies broadening our knowledge of the functioning of metonymy. As regards the methodological and descriptive issues, the book exhibits a unique feature in metonymy literature: the discussion of the structure of a detailed, web-based metonymy database (especially its entry model), and the descriptive criteria to be applied in its completion. The theoretical discussion contributes important challenging insights on several metonymy-related topics such as contingency, source prominence, “complex target”, source-target contrast / asymmetry, conceptual integration, hierarchies, triggers, de-personalization and de-roling, and many others. The case studies deal with the role of metonymy in morphology, monoclausal if only constructions, emotional categories, and iconicity in English and other languages, including one sign language. Beside cognitive linguists, especially metonymy researchers, the book should appeal to researchers in A.I., sign language, rhetoric, lexicography, and communication.
Author: Roberto Confalonieri Publisher: Springer ISBN: 3319656023 Category : Computers Languages : en Pages : 304
Book Description
This book introduces a computationally feasible, cognitively inspired formal model of concept invention, drawing on Fauconnier and Turner's theory of conceptual blending, a fundamental cognitive operation. The chapters present the mathematical and computational foundations of concept invention, discuss cognitive and social aspects, and further describe concrete implementations and applications in the fields of musical and mathematical creativity. Featuring contributions from leading researchers in formal systems, cognitive science, artificial intelligence, computational creativity, mathematical reasoning and cognitive musicology, the book will appeal to readers interested in how conceptual blending can be precisely characterized and implemented for the development of creative computational systems.
Author: Lutz Geldsetzer
Author: Lutz Geldsetzer
Author: Max Oelschlaeger
Author: Rudy Rucker
Author: 
Author: Béatrice Longuenesse
Author: Maria M. Hedblom
Author: Edmund Husserl
Author: Alan Bundy
Author: Olga Blanco-Carrión
Author: Roberto Confalonieri