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With his groundbreaking and controversial DIM hypothesis, Dr. Leonard Peikoff casts a penetrating new light on the process of human thought, and thereby on Western culture and history. In this far-reaching study, Peikoff identifies the three methods people use to integrate concrete data into a whole, as when connecting diverse experiments by a scientific theory, or separate laws into a Constitution, or single events into a story. The first method, in which data is integrated through rational means, he calls Integration. The second, which employs non-rational means, he calls Misintegration. The third is Disintegration—which is nihilism, the desire to tear things apart. In The DIM Hypothesis Peikoff demonstrates the power of these three methods in shaping the West, by using the categories to examine the culturally representative fields of literature, physics, education, and politics. His analysis illustrates how the historical trends in each field have been dominated by one of these three categories, not only today but during the whole progression of Western culture from its beginning in Ancient Greece. Extrapolating from the historical pattern he identifies, Peikoff concludes by explaining why the lights of the West are going out—and predicts the most likely future for the United States.
With his groundbreaking and controversial DIM hypothesis, Dr. Leonard Peikoff casts a penetrating new light on the process of human thought, and thereby on Western culture and history. In this far-reaching study, Peikoff identifies the three methods people use to integrate concrete data into a whole, as when connecting diverse experiments by a scientific theory, or separate laws into a Constitution, or single events into a story. The first method, in which data is integrated through rational means, he calls Integration. The second, which employs non-rational means, he calls Misintegration. The third is Disintegration—which is nihilism, the desire to tear things apart. In The DIM Hypothesis Peikoff demonstrates the power of these three methods in shaping the West, by using the categories to examine the culturally representative fields of literature, physics, education, and politics. His analysis illustrates how the historical trends in each field have been dominated by one of these three categories, not only today but during the whole progression of Western culture from its beginning in Ancient Greece. Extrapolating from the historical pattern he identifies, Peikoff concludes by explaining why the lights of the West are going out—and predicts the most likely future for the United States.
THE 25TH ANNIVERSARY EDITION—The definitive statement of Ayn Rand’s philosophy as interpreted by her best student and chosen heir. This brilliantly conceived and organized book is Dr. Leonard Peikoff’s classic text on the abstract principles and practical applications of Objectivism, based on his lecture series “The Philosophy of Objectivism.” Ayn Rand said of these lectures: “Until or unless I write a comprehensive treatise on my philosophy, Dr. Peikoff’s course is the only authorized presentation of the entire theoretical structure of Objectivism—that is, the only one that I know of my knowledge to be fully accurate.” In Objectivism, Peikoff covers every philosophic topic that Rand regarded as important—from certainty to money, from logic to art, from measurement to sex. Drawn from Rand’s published works as well as in-depth conversations between her and Peikoff, these chapters illuminate Objectivism—and its creator—with startling clarity. With Objectivism, the millions of readers who have been transformed by Atlas Shrugged and The Fountainhead will discover the full philosophical system underlying Ayn Rand’s work.
Ayn Rand chose Leonard Peikoff to be her successor as the spokesman for Objectivism. And in this brilliantly reasoned, thought-provoking work we learn why, as he demonstrates how far America has been detoured from its original path and led down the same road that Germany followed to Nazism. Self-sacrifice, Oriental mysticism, racial "truth," the public good, doing one's duty—these are among the seductive catch-phrases that Leonard Peikoff dissects, examining the kind of philosophy they symbolize, the type of thinking that lured Germany to its doom and that he says is now prevalent in the United States. Here is a frightening look at where America may be heading, a clarion call for all who are concerned about preserving our right to individual freedom.
Ayn Rand’s philosophy of Objectivism is increasingly influencing the shape of the world from business and politics to achieving personal goals. Here, Leonard Peikoff—Rand’s heir—explains how you can communicate philosophical ideas with conviction, logic, and, most of all, reason. Based on a series of lectures presented by Peikoff, Objective Communication shows how to apply Objectivist principles to the problem of achieving clarity both in thought and in communication. Peikoff teaches readers how to write, speak, and argue on the subject of philosophical ideas—ideas pertaining to profoundly important issues ranging from the question of the existence of God to the nature and proper limits of government power. Including enlightening discussions of a wide range of Objectivist topics—such as the primacy of consciousness, the pitfalls of rationalistic thinking, and the true meaning of the word “altruism,” as well as in-depth analysis of some of Ayn Rand’s own writings—Peikoff’s Objective Communication is essential reading for anyone interested in Ayn Rand’s philosophy.
Based on a series of lectures given in 1983 by Dr. Leonard Peikoff, Understanding Objectivism offers a deeper and more profound study of Ayn Rand's philosophy, and outlines a methodology of how to approach the study of Objectivism and apply its principles to one's life. For the legions of readers who treasure Atlas Shrugged and The Fountainhead, and who savor cogent analysis and provocative discussion of Ayn Rand's thoughts and beliefs, Understanding Objectivism takes the stimulating study of Rand's philosophy to the next level.
“A truly revolutionary idea… Clear, tight, disciplined, beautifully structured, and brilliantly reasoned.”—Ayn Rand Self-sacrifice, Oriental mysticism, racial “truth,” the public good, doing one’s duty—these are among the seductive catchphrases that circulated in pre-Nazi Germany. Objectivist author and philosopher Leonard Peikoff was Ayn Rand’s long-time associate. In The Cause of Hitler’s Germany—previously published in The Ominous Parallels—Peikoff demonstrates how unreason and collectivism led the seemingly civilized German society to become a Nazi regime.
Rarely has a writer and thinker of the stature of Ayn Rand afforded us access to her most intimate thoughts and feelings. From Journals of Ayn Rand, we gain an invaluable new understanding and appreciation of the woman, the artist, and the philosopher, and of the enduring legacy she has left us.Rand comes vibrantly to life as an untried screenwriter in Hollywood, creating stories that reflect her youthful vision of the world. We see her painful memories of communist Russia and her struggles to convey them in We the Living. Most fascinating is the intricate, step-by-step process through which she created the plots and characters of her two masterworks, The Fountainhead and Atlas Shrugged, and the years of painstaking research that imbued the novels with their powerful authenticity. Complete with reflections on her legendary screenplay concerning the making of the atomic bomb and tantalizing descriptions of projects cut short by her death, Journals of Ayn Rand illuminates the mind and heart of an extraordinary woman as no biography or memoir ever could. On these vivid pages, Ayn Rand lives.
This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.