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This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.
This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.
Discrete Thoughts, the fifth book of contemporary poems by Herbert Siegel, the pulse of whose verses are timed to his heartbeats from his signature poems The Core of the Universe to The Soul of Man. Discrete Thoughts is the first comprehensive and unabridged collection of his poetic achievements absent a variorum.
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Chris Fraser presents a rich and broad-ranging study of the culminating period of classical Chinese philosophy, the third century BC. He offers novel and informative perspectives on Confucianism, Daoism, Mohism, Legalism, and other movements in early Chinese thought while also delving into neglected texts such as the Guanzi, Lu's Annals, and the Zhuangzi 'outer' chapters, restoring them to their prominent place in the history of philosophy. Fraser organizes the history of Chinese thought topically, devoting separate chapters to metaphysics and metaethics, political philosophy, ethics, moral psychology, epistemology, and philosophy of language and logic. Focused specifically on the last century of the Warring States era, arguably the most vibrant, diverse period of philosophical discourse in Chinese history, the discussion covers the shared concerns, rival doctrines, and competing criticisms presented in third-century BC sources. Fraser explicates the distinctive issues, conceptual frameworks, and background assumptions of classical Chinese thought. He aims to introduce the philosophical discourse of early China to a broad audience, including readers with no prior familiarity with the material. At the same time, the thematic treatment and incisive interpretations of individual texts will be of interest to students and specialists in the field.
Written by experienced practitioners this resource for Theory of Knowledge for the IB Diploma offers comprehensive coverage of and support for the new subject guide. This edition of Theory of Knowledge for the IB Diploma is fully revised for first examination in September 2015. The coursebook is a comprehensive, original and accessible approach to Theory of Knowledge, which covers all aspects of the revised subject guide. A fresh design ensures the content is accessible and user friendly and there is detailed guidance on how to approach the TOK essay and presentation. This edition supports the stronger emphasis on the distinction between personal and shared knowledge and the new areas of knowledge: religion and indigenous knowledge.
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
In Exploring Robotic Minds: Actions, Symbols, and Consciousness as Self-Organizing Dynamic Phenomena, Jun Tani sets out to answer an essential and tantalizing question: How do our minds work? By providing an overview of his "synthetic neurorobotics" project, Tani reveals how symbols and concepts that represent the world can emerge in a neurodynamic structure--iterative interactions between the top-down subjective view, which proactively acts on the world, and the bottom-up recognition of the resultant perceptual reality. He argues that nontrivial problems of consciousness and free will could be addressed through structural understanding of such iterative, conflicting interactions between the top-down and the bottom-up pathways. A wide range of readers will enjoy this wonderful journey of the mind and will follow the author on interdisciplinary discussions that span neuroscience, dynamical systems theories, robotics, and phenomenology. The book also includes many figures, as well as a link to videos of Tani's exciting robotic experiments.