Geometry And Meaning
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Author | : Dominic Widdows |
Publisher | : Stanford Univ Center for the Study |
Total Pages | : 319 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9781575864471 |
Geometric models similar to those of Pythagoras and Einstein are now being applied to the conceptual space of information and meaning, for example in the arrangement of Internet documents. This text explores the computational techniques necessary to represent meaning and their basis in conceptual space.
Author | : Peter Gärdenfors |
Publisher | : MIT Press |
Total Pages | : 357 |
Release | : 2014-01-17 |
Genre | : Language Arts & Disciplines |
ISBN | : 0262026783 |
A novel cognitive theory of semantics that proposes that the meanings of words can be described in terms of geometric structures.
Author | : Arthur M. Young |
Publisher | : Anodos Foundation |
Total Pages | : 169 |
Release | : 1984-06 |
Genre | : Knowledge, Theory of |
ISBN | : 9780960985050 |
Author | : Debbie Brewer |
Publisher | : Lulu.com |
Total Pages | : 150 |
Release | : 2019-02-12 |
Genre | : Religion |
ISBN | : 0244758867 |
Why is it that we are so drawn to and enticed by sacred geometry? They start with simple mathematical shapes, that combine to create elaborate illustrations of such beauty and elegance that we marvel at them. Beliefs, religious, spiritual and cultural, have been historically attached to them. The specific design and creation of each individual sacred geometric pattern is thought, among many cultures, not only to demonstrate an understanding of specific universal concepts, but to hold powers of mystical possibilities. The aim of this book is to provide an understanding of the history, creation and meanings of sacred geometry for those who are new to the subject, and to open an insight into the beliefs placed upon them with the hope that it will inspire the reader's interest and imagination and increase their enthusiasm. Enjoy learning how such simple shapes can evolve into inspiring and powerful patterns that weave through the fabric of our entire universe and reality.
Author | : Brian Portnoy |
Publisher | : Jaico Publishing House |
Total Pages | : 222 |
Release | : 2023-04-25 |
Genre | : Business & Economics |
ISBN | : 8196150768 |
HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.
Author | : Miranda Lundy |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 68 |
Release | : 2001-04-01 |
Genre | : Mathematics |
ISBN | : 0802713823 |
Originally published: Presteigne, Powys, Wales: Wooden Books Ltd., 1998.
Author | : László Lovász |
Publisher | : American Mathematical Soc. |
Total Pages | : 458 |
Release | : 2019-08-28 |
Genre | : Mathematics |
ISBN | : 1470450879 |
Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber band representations, coin representations, orthogonal representations, and discrete analytic functions. Applications are given in information theory, statistical physics, graph algorithms and quantum physics. The book is based on courses and lectures that the author has given over the last few decades and offers readers with some knowledge of graph theory, linear algebra, and probability a thorough introduction to this exciting new area with a large collection of illuminating examples and exercises.
Author | : Peter Gardenfors |
Publisher | : MIT Press |
Total Pages | : 324 |
Release | : 2004-01-30 |
Genre | : Psychology |
ISBN | : 9780262572194 |
Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author | : Jordan Ellenberg |
Publisher | : Penguin |
Total Pages | : 481 |
Release | : 2021-05-25 |
Genre | : Mathematics |
ISBN | : 1984879065 |
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.