Visual calculating in shape grammars aligns with art and design, bridging the gap between seeing (Coleridge’s “imagination”) and combinatoric play (Coleridge’s “fancy”).In Shapes of Imagination, George Stiny runs visual calculating in shape grammars through art and design―incorporating Samuel Taylor Coleridge’s poetic imagination and Oscar Wilde’s challenging corollary to see things as in themselves they really are not. Many assume that calculating limits art and design to suit computers, but shape grammars rely on seeing to prove otherwise. Rules that change what they see extend calculating to overtake what computers can do, in logic and with data and learning. Shape grammars bridge the categorical divide between seeing (Coleridge’s “imagination, or esemplastic power”) and combinatoric play (Coleridge’s “fancy”). Stiny shows that calculating without seeing excludes art and design. Seeing is key for calculating to augment creative activity with aesthetic insight and value. Shape gramma
In this newest installment in Chicago’s series of Jacques Derrida’s seminars, the renowned philosopher attempts one of his most ambitious goals: the first truly philosophical argument against the death penalty. While much has been written against the death penalty, Derrida contends that Western philosophy is massively, if not always obviously, complicit with a logic in which a sovereign state has the right to take a life. Haunted by this notion, he turns to the key places where such logic has been established—and to the place it has been most effectively challenged: literature.With his signature genius and patient yet dazzling readings of an impressive breadth of texts, Derrida examines everything from the Bible to Plato to Camus to Jean Genet, with special attention to Kant and post–World War II juridical texts, to draw the landscape of death penalty discourses. Keeping clearly in view the death rows and execution chambers of the United States, he shows how arguments surrounding cruel
When the students in Winchester University’s Logic and Reasoning 204 arrive for their first day of class, they are greeted not with a syllabus or texts, but with a startling assignment from Professor
Why does regulation vary so dramatically from one area to another? Why are vast sums spent on controlling some risks but not on others? Is there any logic to the techniques we use in risk regulation?
Not only are these puzzles fun but KenKen helps children improve concentration, logic and arithmetic skills. Children ages 9-12 have excelled in math and gained real-life problem solving skills all fr
Traditional approaches to musical form have always adopted a top-down perspective whereby a work's form organizes and unifies the individual parts of the work through an overarching logic. How Sonata Forms turns this view on its head, proposing instead that it was the parts that conditionedand enabled the whole. Relying on a corpus of over a thousand works, author Yoel Greenberg illustrates how the elements of sonata form arose independently of one another, with an overarching idea of form only emerging at the tail end of its formative period during the eighteenth century. Appreciation of the bottom-up nature of sonata form's evolution reveals it not as a stable package of features that all serve a common aesthetic or formal goal, but rather as an unstable collection of disparate and sometimes even contradictory common practices. The resolution of these contradictionspresents a challenge to composers, rendering form a creative catalyst in itself, rather than as a compositional convenie
When the first edition of Semantics appeared in 1976, the developments in this aspect of language study were exciting interest not only among linguists, but among philosophers, psychologists and logic
Can one explain the power of global capitalism without attributing to capital a logic and coherence it does not have? Can one account for the powers of techno-science in terms that do not merely repro
Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiqui
Provides an up-to-date integration of expert systems with fuzzy logic and neural networks.Includes coverage of simulation models not present in other books.Presents cases and examples taken from the a
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics. This volume surveys much of the recent work that has not been included in published volumes until now. It contains a range of articles on algorithmic randomness and its interactions with closely related topics such as computability theory and computational complexity, as well as wider applications in areas of mathematics including analysis, probability, and ergodic theory. In addition to being an indispensable reference for researchers in algorithmic randomness, the unified view of the theory presented here makes this an excellent entry point for graduate students and other newcomers to the field.
Award-winning author Jack Boss returns with the 'prequel' to Schoenberg's Twelve-Tone Music (Cambridge, 2014) demonstrating that the term 'atonal' is meaningful in describing Schoenberg's music from 1908 to 1921. This book shows how Schoenberg's atonal music can be understood in terms of successions of pitch and rhythmic motives and pitch-class sets that flesh out the large frameworks of 'musical idea' and 'basic image'. It also explains how tonality, after losing its structural role in Schoenberg's music after 1908, begins to re-appear not long after as an occasional expressive device. Like its predecessor, Schoenberg's Atonal Music contains close readings of representative works, including the Op. 11 and Op. 19 Piano Pieces, the Op. 15 George-Lieder, the monodrama Erwartung, and Pierrot lunaire. These analyses are illustrated by richly detailed musical examples, revealing the underlying logic of some of Schoenberg's most difficult pieces of music.
From unemployment to Brexit to climate change, capitalism is in trouble and ill-prepared to cope with the challenges of the coming decades. How did we get here? While contemporary economists and policymakers tend to ignore the political and social dimensions of capitalism, some of the great economists of the past - Adam Smith, Friedrich List, John Maynard Keynes, Joseph Schumpeter, Karl Polanyi and Albert Hirschman - did not make the same mistake. Leveraging their insights, sociologists John L. Campbell and John A. Hall trace the historical development of capitalism as a social, political, and economic system throughout the twentieth and early twenty-first centuries. They draw comparisons across eras and around the globe to show that there is no inevitable logic of capitalism. Rather, capitalism's performance depends on the strength of nation-states, the social cohesion of capitalist societies, and the stability of the international system - three things that are in short supply today.
Award-winning author Jack Boss returns with the 'prequel' to Schoenberg's Twelve-Tone Music (Cambridge, 2014) demonstrating that the term 'atonal' is meaningful in describing Schoenberg's music from 1908 to 1921. This book shows how Schoenberg's atonal music can be understood in terms of successions of pitch and rhythmic motives and pitch-class sets that flesh out the large frameworks of 'musical idea' and 'basic image'. It also explains how tonality, after losing its structural role in Schoenberg's music after 1908, begins to re-appear not long after as an occasional expressive device. Like its predecessor, Schoenberg's Atonal Music contains close readings of representative works, including the Op. 11 and Op. 19 Piano Pieces, the Op. 15 George-Lieder, the monodrama Erwartung, and Pierrot lunaire. These analyses are illustrated by richly detailed musical examples, revealing the underlying logic of some of Schoenberg's most difficult pieces of music.
This volume begins by challenging the bases of the recent scientization of sociology. Then it challenges some of the ambitious claims of recent theoretical debate. The author not only reinterprets the
Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
