At The Brink Of Infinity

A crazy man swears vengeance on bad mathematicians! In this diabolical math based murder mystery.

From popular culture to politics to classic novels, quintessentially American texts take their inspiration from the idea of infinity. In the extraordinary literary century inaugurated by Ralph Waldo Emerson, the lyric too seemed to encounter possibilities as limitless as the U.S. imagination. This raises the question: What happens when boundlessness is more than just a figure of speech? Exploring new horizons is one thing, but actually looking at the horizon itself is something altogether different. In this carefully crafted analysis, James von der Heydt shines a new light on the lyric craft of Emily Dickinson, Robert Frost, Elizabeth Bishop, and James Merrill and considers how their seascape-vision redefines poetry's purpose. Emerson famously freed U.S. literature from its past and opened it up to vastness; in the following century, a succession of brilliant, rigorous poets took the philosophical challenges of such freedom all too seriously. Facing the unmarked horizon, Emersonian poets capture—and are captured by—a stark, astringent version of human beauty. Their uncompromising visions of limitlessness reclaim infinity's proper legacy—and give American poetry its edge. Von der Heydt's book recovers the mystery of their world.

An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.

This book was written by a Hindu, the grandson of Mohandas K. Gandhi. His intent, in writing on eight Muslims and their influence on India in the twentieth century, is to reduce the gulf between Hindu and Muslims. Focusing on figures viewed as heroes by sub-continent Muslims, he shows that they can be admired by Hindus as well--that they need not be frozen in Hindu minds as foes. Here is a fascinating account of twentieth-century India, Pakistan, and Bangladesh told through biographical sketches of eight men: Sayyid Ahmed Khan (1817-1898), Fazlul Huq (1873-1962), Muhammad Ali Jinnah (1876-1948), Muhammad Iqbal (1876-1938), Muhammad Ali (1878-1931), Abul Kalam Azad (1888-1958), Liaqat Ali Khan (1895-1951), and Zakir Husain (1897-1969).

A Fascinating Account Of The Muslims In Twentieth-Century India, Pakistan And Bangladesh Through His Biographical Sketches Of Eight Prominent Muslims- Sayyid Ahmed Khan (1817-1898), Fazlul Haq (1873-1962), Muhammad Ali Jinnah (1876-1948), Muhammad Iqbal (1876-1938), Muhammad Ali (1878-1931), Abul Kalam Azad (1888-1958), Liaqat Ali Khan (1895-1951) And Zakir Hussain (1897-1969) Rajmohan Gandhi, The Grandson Of Mahatma Gandhi, Provides A Deeply Insightful And Comprehensive Picture Of The Community In The Subcontinent Today.

“Rich with photographs and descriptions of how landscape design has shaped and reflected culture over time.” —The American Gardener The History of Landscape Design in 100 Gardens explores the defining moments in garden design. Through profiles of 100 of the most influential gardens, Linda Chisholm explores how social, political, and economic influences shaped garden design principles. The book is organized chronologically and by theme, starting with the medieval garden Alhambra and ending with the modern naturalism of the Lurie Garden. Sumptuously illustrated, The History of Landscape Design in 100 Gardens is a comprehensive resource for garden designers and landscape architects, design students, and garden history enthusiasts.

This introduction to one of the liveliest and most popular fields in philosophy is written specifically for a beginning readership with no background in philosophy or science. Step-by-step analyses of the key arguments are provided and the philosophical heart of the issues is revealed without recourse to jargon, maths, or logical formulas. The book introduces Einstein's revolutionary ideas in a clear and simple way, along with the concepts and arguments of philosophers, both ancient and modern that have proved of lasting value. Specifically, the theories of the ancient Greek philosophers, Zeno, Euclid and Parmenides are considered alongside the ideas of Newton, Leibniz and Kant as well as the giants of twentieth-century physics, Einstein and Lorentz. The problems at the heart of the philosophy of space and time, such as change, motion, infinity, shape, and inflation, are examined and the seismic impact made by relativity theory and quantum theory is assessed in the light of the latest research. The writing is lucid and entertaining, allowing a beginning readership to grasp some difficult concepts while offering the more experienced reader a succinct and illuminating presentation of the state of the debate. "Space, Time and Einstein" shows the reader the excitement of scientific discovery and the beauty of theory in the search for answers to these fundamental questions.