A Point in Time: The Search for Redemption in This Life and the Next


David Horowitz - 2011
    In A Point in Time, his lyrical yet startling new book, he offers meditations on an even deeper conversion, one which touches on the very essence of every human life.Part memoir and part philosophical reflection, A Point in Time focuses on man’s inevitable search for meaning—and how for those without religious belief, that search often leads to a faith in historical progress, one that is bound to disappoint. Horowitz agrees with Marcus Aurelius, whose stoic philosophy provides a focal point for the book, “He who has seen present things has seen all, both everything that has taken place from all eternity and everything that will be for time without end.…”Horowitz remembers his father, a political radical who put his faith in just such a redemptive future. He examines this hope through the other great figure who organizes these reflections, the Russian novelist Fyodor Dostoevsky, whose writings foreshadowed the great tragedies of the social revolutions to come. Horowitz draws on eternal themes: the need we have to make sense out of the lives we have been given, our desire to repair the injustices we encounter, and the consequences of our mortality.Interweaving episodes of his own life with the writings of the philosopher and the novelist, Horowitz explores how we provide meaning to an apparently senseless existence and the dire consequences that follow from seeking to redeem it by attempting to make a perfect world out of the imperfect one in which we find ourselves.Praise forA POINT IN TIME“David Horowitz is so powerful a polemicist that it is often forgotten how beautifully he writes. For the same reason, the deeply considered philosophical perspective and the wide-ranging erudition underlying his political passions are just as often overlooked. But it is precisely these qualities that come to the fore and shine through so brilliantly in the linked meditations that make up A Point in Time. With Marcus Aurelius, Ecclesiastes, and Dostoevsky as its guides, this little book boldly ventures into an exploration of first things and last that is as moving as it is profound.”—NORMAN PODHORETZ, author of Why Are Jews Liberals?“A beautiful book, both sad and uplifting. Moving in turns from the intimate to the universal, Horowitz not only explores but also embodies the dignity of the tragic worldview. A Point in Time is a poignant and elegiac reflection on life from a man who bears the burden of unknowing with courage and grace.”—ANDREW KLAVAN, author of True Crime and Empire of Lies“Emulating Marcus Aurelius, David Horowitz has produced a meditation on facing death that is poignant and wise. Whether invoking the Stoics or reflecting on his own father, he helps us think through that most basic of all questions: what is it that can give meaning to our existence?”—WALTER ISAACSON, author of Einstein“I have admired David Horowitz for decades. He has taught me many important lessons. But never have I been so moved by his writing as I am by this brief and profound book.”—DENNIS PRAGER, author of Why the Jews?

Logic: A Complete Introduction: Teach Yourself


Siu-Fan Lee - 2017
    As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.

A Textbook Of Discrete Mathematics


Swapan Kumar Sarkar
    

Tell Me The Odds: A 15 Page Introduction To Bayes Theorem


Scott Hartshorn - 2017
    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

My Brain is Open: The Mathematical Journeys of Paul Erdős


Bruce Schechter - 1998
    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

A Field Guide to Lies: Critical Thinking in the Information Age


Daniel J. Levitin - 2016
    We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them. It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, distortions, and outright lies from reliable information? Levitin groups his field guide into two categories—statistical infomation and faulty arguments—ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning—not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some lying weasels in their tracks!

Epistemology: An Anthology


Ernest SosaRichard Foley - 1999
    It is ideal as a reader for all courses in epistemology.

The Nothing That Is: A Natural History of Zero


Robert M. Kaplan - 1999
    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

Euclid's Elements


Euclid
    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.