Introduction to Art: Design, Context, and Meaning offers a deep insight and comprehension of the world of Art. Contents: What is Art? The Structure of Art Significance of Materials Used in Art Describing Art - Formal Analysis, Types, and Styles of Art Meaning in Art - Socio-Cultural Contexts, Symbolism, and Iconography Connecting Art to Our Lives Form in Architecture Art and Identity Art and Power Art and Ritual Life - Symbolism of Space and Ritual Objects, Mortality, and Immortality Art and Ethics
The Handbook Philosophy of Technology and Engineering Sciences addresses numerous issues in the emerging field of the philosophy of those sciences that are involved in the technological process of designing, developing and making of new technical artifacts and systems. These issues include the nature of design, of technological knowledge, and of technical artifacts, as well as the toolbox of engineers. Most of these have thus far not been analyzed in general philosophy of science, which has traditionally but inadequately regarded technology as mere applied science and focused on physics, biology, mathematics and the social sciences. - First comprehensive philosophical handbook on technology and the engineering sciences - Unparalleled in scope including explorative articles - In depth discussion of technical artifacts and their ontology - Provides extensive analysis of the nature of engineering design - Focuses in detail on the role of models in technology
This book provides a cross-cultural analysis of how religious symbols function from a theological and philosophical perspective. Showing how religious symbols can be true in various qualified senses, Neville presents a theory of religious symbolism in the American pragmatic tradition extending and elaborating Tillich's claim that religious symbols participate in the divine realities to which they refer and yet must be broken in order not to be idolatrous or demonic. The Truth of Broken Symbols offers a theory of religious symbolism treating reference, meaning, and interpretation, and discussing different functions of religious symbols in theological, practical, and devotional contexts. It shows that religious symbols are to be properly understood as true or false and that symbol-systems such as myths, theologies, or liturgical symbols are to be used to engage divine realities while internally exhibiting semiotic structures of reference, meaning, and interpretation.
"The main thrust of this book is to deliver a major critique of materialist and rationalist explanations of social and cultural forms, but the in the process Sahlins has given us a much stronger statement of the centrality of symbols in human affairs than have many of our 'practicing' symbolic anthropologists. He demonstrates that symbols enter all phases of social life: those which we tend to regard as strictly pragmatic, or based on concerns with material need or advantage, as well as those which we tend to view as purely symbolic, such as ideology, ritual, myth, moral codes, and the like. . . ."—Robert McKinley, Reviews in Anthropology
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory.
Model theory, which is concerned with the relationship between mathematical structures and logic, now has a wide range of applications in areas such as computing, philosophy, and linguistics. This book, suitable for both mathematicians and students from outside the field, provides a clear and readable introduction to the subject.
Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science.In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations.
