Download or read book Logical Thinking in the Pyramidal Schema of Concepts The Logical and Mathematical Elements written by Lutz Geldsetzer and published by Springer Science & Business Media. This book was released on 2012-11-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Postmodern Environmental Ethics written by Max Oelschlaeger and published by State University of New York Press. This book was released on 1995-08-17 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Logic written by Eulalio Baltazar and published by Independently Published. This book was released on 2019-01-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic inferential patterns of formal logic as they are embedded in everyday life, information technology, and science. It is designed to make clear the basic topics of classical and modern logic. The aim is to improve the reader's ability to navigate both everyday and science-based interactions.
Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1970-12 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Kant and the Capacity to Judge written by Béatrice Longuenesse and published by Princeton University Press. This book was released on 2020-06-16 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mind Tools written by Rudy Rucker and published by Courier Corporation. This book was released on 2013-11-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Boston: Houghton Mifflin, 1987.
Download or read book Image Schemas and Concept Invention written by Maria M. Hedblom and published by Springer Nature. This book was released on 2020-06-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Computer Modelling of Mathematical Reasoning written by Alan Bundy and published by . This book was released on 1983 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Philosophy of Arithmetic written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Concept Invention written by Roberto Confalonieri and published by Springer. This book was released on 2018-10-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Pyramid Principle written by Barbara Minto and published by Financial Times/Prentice Hall. This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals that the mind automatically sorts information into distinctive pyramidal groupings. However, if any group of ideas are arranged into a pyramid structure in the first place, not only will it save valuable time and effort to write, it will take even less effort to read and comprehend it
Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.
Download or read book Dialectical Logic Essays on its History and Theory written by Evald Vasilyevich Ilyenkov and published by Aakar Books. This book was released on 2008 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the development of Dialectical Logic within the history of modern western philosophy, culminating in Marx s materialist dialectics. It brings out the essential contours of Logic through a detailed exposition of the ontological and epistem
Download or read book The Oxford English Dictionary written by and published by . This book was released on 1989 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to current definitions, provides an historical treatment to words and idioms included.
Download or read book Realizing Reason written by Danielle Macbeth and published by Oxford University Press. This book was released on 2014-03 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective truth.
Download or read book A Unifying Field in Logics Neutrosophic Logic Neutrosophy Neutrosophic Set Neutrosophic Probability fourth edition written by Florentin Smarandache and published by Infinite Study. This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: N-Norm and N-conorm are extended in Neutrosophic Logic/Set.
Download or read book Mathematical Structuralism written by Geoffrey Hellman and published by Cambridge University Press. This book was released on 2018-11-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives.
