Introduction to Axiomatic Set Theory

Introduction to Axiomatic Set Theory
Author: G. Takeuti
Publisher: Springer Science & Business Media
Total Pages: 251
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461381681

In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.

More Than Freedom

More Than Freedom
Author: Stephen Kantrowitz
Publisher: Penguin
Total Pages: 530
Release: 2013-07-30
Genre: History
ISBN: 0143123440

A major new account of the Northern movement to establish African Americans as full citizens before, during, and after the Civil War In More Than Freedom, award-winning historian Stephen Kantrowitz offers a bold rethinking of the Civil War era. Kantrowitz show how the fight to abolish slavery was always part of a much broader campaign by African Americans to claim full citizenship and to remake the white republic into a place where they could belong. More Than Freedom chronicles this epic struggle through the lives of black and white abolitionists in and around Boston, including Frederick Douglass, Senator Charles Sumner, and lesser known but equally important figures. Their bold actions helped bring about the Civil War, set the stage for Reconstruction, and left the nation forever altered.

Outlander

Outlander
Author: Diana Gabaldon
Publisher: Dell
Total Pages: 560
Release: 2004-10-26
Genre: Fiction
ISBN: 0440335167

#1 NEW YORK TIMES BESTSELLER • NOW A STARZ ORIGINAL SERIES Unrivaled storytelling. Unforgettable characters. Rich historical detail. These are the hallmarks of Diana Gabaldon’s work. Her New York Times bestselling Outlander novels have earned the praise of critics and captured the hearts of millions of fans. Here is the story that started it all, introducing two remarkable characters, Claire Beauchamp Randall and Jamie Fraser, in a spellbinding novel of passion and history that combines exhilarating adventure with a love story for the ages. One of the top ten best-loved novels in America, as seen on PBS’s The Great American Read! Scottish Highlands, 1945. Claire Randall, a former British combat nurse, is just back from the war and reunited with her husband on a second honeymoon when she walks through a standing stone in one of the ancient circles that dot the British Isles. Suddenly she is a Sassenach—an “outlander”—in a Scotland torn by war and raiding clans in the year of Our Lord . . . 1743. Claire is catapulted into the intrigues of a world that threatens her life, and may shatter her heart. Marooned amid danger, passion, and violence, Claire learns her only chance of safety lies in Jamie Fraser, a gallant young Scots warrior. What begins in compulsion becomes urgent need, and Claire finds herself torn between two very different men, in two irreconcilable lives. This eBook includes the full text of the novel plus the following additional content: • An excerpt from Diana Gabaldon’s Dragonfly in Amber, the second novel in the Outlander series • An interview with Diana Gabaldon • An Outlander reader’s guide Praise for Outlander “Marvelous and fantastic adventures, romance, sex . . . perfect escape reading.”—San Francisco Chronicle “History comes deliciously alive on the page.”—New York Daily News

The Black Church

The Black Church
Author: Henry Louis Gates, Jr.
Publisher: Penguin
Total Pages: 338
Release: 2021-02-16
Genre: History
ISBN: 1984880330

The instant New York Times bestseller and companion book to the PBS series. “Absolutely brilliant . . . A necessary and moving work.” —Eddie S. Glaude, Jr., author of Begin Again “Engaging. . . . In Gates’s telling, the Black church shines bright even as the nation itself moves uncertainly through the gloaming, seeking justice on earth—as it is in heaven.” —Jon Meacham, New York Times Book Review From the New York Times bestselling author of Stony the Road and The Black Box, and one of our most important voices on the African American experience, comes a powerful new history of the Black church as a foundation of Black life and a driving force in the larger freedom struggle in America. For the young Henry Louis Gates, Jr., growing up in a small, residentially segregated West Virginia town, the church was a center of gravity—an intimate place where voices rose up in song and neighbors gathered to celebrate life's blessings and offer comfort amid its trials and tribulations. In this tender and expansive reckoning with the meaning of the Black Church in America, Gates takes us on a journey spanning more than five centuries, from the intersection of Christianity and the transatlantic slave trade to today’s political landscape. At road’s end, and after Gates’s distinctive meditation on the churches of his childhood, we emerge with a new understanding of the importance of African American religion to the larger national narrative—as a center of resistance to slavery and white supremacy, as a magnet for political mobilization, as an incubator of musical and oratorical talent that would transform the culture, and as a crucible for working through the Black community’s most critical personal and social issues. In a country that has historically afforded its citizens from the African diaspora tragically few safe spaces, the Black Church has always been more than a sanctuary. This fact was never lost on white supremacists: from the earliest days of slavery, when enslaved people were allowed to worship at all, their meetinghouses were subject to surveillance and destruction. Long after slavery’s formal eradication, church burnings and bombings by anti-Black racists continued, a hallmark of the violent effort to suppress the African American struggle for equality. The past often isn’t even past—Dylann Roof committed his slaughter in the Mother Emanuel AME Church 193 years after it was first burned down by white citizens of Charleston, South Carolina, following a thwarted slave rebellion. But as Gates brilliantly shows, the Black church has never been only one thing. Its story lies at the heart of the Black political struggle, and it has produced many of the Black community’s most notable leaders. At the same time, some churches and denominations have eschewed political engagement and exemplified practices of exclusion and intolerance that have caused polarization and pain. Those tensions remain today, as a rising generation demands freedom and dignity for all within and beyond their communities, regardless of race, sex, or gender. Still, as a source of faith and refuge, spiritual sustenance and struggle against society’s darkest forces, the Black Church has been central, as this enthralling history makes vividly clear.