Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

They had two future Hall of Famers, the last pitcher to win thirty games, and a supporting cast of some of the most peculiar individuals ever to play in the majors. But more than that, the 1968 Detroit Tigers symbolize a lost era in baseball. It was a time before runaway salaries and designated hitters. Before divisional playoffs and drug suspensions. Before teams measured their well-being by the number of corporate boxes in their ballpark and the cable contract in their pocket. It was the last season of baseball's most colorful and nostalgic period. It was surely not a more innocent time. The 1968 Tigers were a team of hell-raisers, the second coming of the Gas House Gang. They brawled on the field and partied hard afterward. They bickered with each other and ignored their manager. They won game after game with improbable rallies on their last at-bat and grabbed the World Championship by coming back from a three games to one deficit to beat the most dominant pitcher in the World Series history in the deciding seventh game. Their ultimate hero, Mickey Lolich, was a man who threw left-handed, thought "upside down," and rode motorcycles to the ballpark. Their thirty-game winner, Denny McLain, played the organ in various night spots, placed bets over the clubhouse phone, and incidentally, overpowered the American League. Their prize pinch-hitter, Gates Brown, had done hard time in the Ohio Penitentiary. Their top slugger, Willie Horton, would have rather been boxing. Their centerfielder, Mickey Stanley, a top defensive outfielder, would unselfishly volunteer to play the biggest games of his life at shortstop, so that their great outfielder, Al Kaline, could get into the World Series lineup. The story of this team, their triumph, and what happened in their lives afterward, is one of the great dramas of baseball history. The Tigers of '68 is the uproarious, stirring tale of this team, the last to win a pure pennant (before each league was divided into two divisions and playoffs were added) and World Series. Award-winning journalist George Cantor, who covered the Tigers that year for the Detroit Free Press, revisits the main performers on the team and then weaves their memories and stories (warts and all) into an absorbing narrative that revives all of the delicious-and infamous-moments that made the season unforgettable. Tommy Matchick's magical ninth-inning home run, Jim Northrup's record-setting grand slams, Jon Warden's torrid April, Dick McAuliffe's charge to the mound, Denny McLain's gift to Mickey Mantle, the nearly unprecedented comeback in the World Series, and dozens more. The '68 Tigers occupy a special place in the history of the city of Detroit. They've joined their predecessors of 1935 as an almost mythic unit-more than a baseball team. The belief has passed into Detroit folklore. Many people swear, as Willie Horton says, that they were "put here by God to save the city." The Tigers of '68 will help you understand why.

In the fall of 1998, George Cantor and his wife sent off their bright, funny, enthusiastic, 18-year-old daughter, Courtney, to the University of Michigan as a freshman. Six weeks later, the university called Cantor to claim her corpse. Courtney fell from her sixth-floor dormitory window after being served drinks illegally at a fraternity party. The events surrounding her death were featured on the CBS news magazine 48 Hours. In Cantor's grief over losing Courtney, he sank into a bitter and prolonged depression that led him to question the value of his own life and newspaper career. This ended after a year when he was diagnosed with cancer, at which point the value of life suddenly and stunningly was renewed. Emotional and reportorial, a mix of grief therapy, celebration of life, mystery, and social criticism, Courtney's Legacy addresses the reality of death, but views the issue from the other end of the life cycle. How do parents and friends deal with the loss of a young woman whose life was so full of promise? Courtney's Legacy also serves as an alarm for parents, being a tough examination of how university housing, legal, and social policies helped to create a situation that made Courtney's death a tragedy waiting to happen. Cantor eloquently unfolds his and Courtney's story, one of death, loss, and renewal, revealing that learning that acceptance of the past and celebration of the present is the only way to endure in our increasingly complex world.

Bad Guys in American History recounts the events related to our country's most compelling outlaws, from colonial times to the 1930s. Complete with photographs of the outlaws and their haunts, this book investigates some of American history's most infamous acts and informs readers where they happened and how to visit those sites today. Both a history book and a travel guide, Bad Guys in American History shines a revealing light on the dark side of America's past.

Aus dem Vorwort von E. Zermelo: "In der Geschichte der Wissenschaften ist es gewiss ein seltener Fall, wenn eine ganze wissenschaftliche Disziplin von grundlegender Bedeutung der schopferischen Tat eines einzelnen zu verdanken ist. Dieser Fall ist verwirklicht in der Schopfung Georg Cantors, der Mengenlehre, einer neuen mathematischen Disziplin, die wahrend eines Zeitraumes von etwa 25 Jahren in einer Reihe von Abhandlungen ein und desselben Forschers in ihren Grundzugen entwickelt, seitdem zum bleibenden Besitze der Wissenschaft geworden ist, so dass alle spateren Forschungen auf diesem Gebiete nur noch als erganzende Ausfuhrungen seiner grundlegenden Gedanken aufzufassen sind. Aber auch abgesehen von dieser ihrer historischen Bedeutung sind die Cantorschen Originalabhandlungen noch fur den heutigen Leser von unmittelbarem Interesse, in ihrer klassischen Einfachheit und Prazision ebenso zur ersten Einfuhrung geeignet und darin noch von keinem neueren Lehrbuch ubertroffen, wie auch fur den Fortgeschrittenen durch die Fulle der zugrunde liegenden Gedanken eine genussreich anregende Lekture.""

Das Buch enthalt 185 vollstandige chronologisch geordnete Briefe Cantors aus den verschiedenen Perioden seines Lebens, von denen ein grosser Teil erstmals veroffentlicht wird. Aus ihnen wird die Entwicklung des Cantorschen Werkes ebenso deutlich wie die Stellung zu seinen Kollegen und das Ringen um die Anerkennung seiner Theorie. Durch die Vollstandigkeit der Briefe und die damit verbundene Einbeziehung auch privater Passagen gewinnt man daruber hinaus Einblicke in Bereiche dieses Forscherlebens, ohne die man die vielschichtige Personlichkeit Cantors kaum annahernd erfassen kann. Man erkennt, dass manches an dem bisherigen "Cantorbild" revisionsbedurftig ist oder zumindest differenzierter gesehen werden muss. Die den Briefen beigegebenen erganzenden und erlauternden Kommentare enthalten haufig Passagen aus Antwortschreiben oder weiteren Briefen Cantors, die fur das Verstandnis der behandelten Sachverhalte hilfreich sind oder sogar neue Aspekte erkennen lassen. Ferner weisen sie auf Zusammenhange zwischen den Briefen hin. Eine so ausgiebige Kommentierung ist bei wissenschaftlichen Briefsammlungen nicht sehr verbreitet. Ebenfalls hervorzuheben ist das sorgfaltig zusammengestellte Sachverzeichnis, das zugleich Hinweise auf die in den Briefen behandelten Themen gibt. Man gewinnt mit diesem Werk eine "Autobiographie" Cantors, die zusammen mit den von Zermelo herausgegebenen "Gesammelten Abhandlungen" (auf die haufig verwiesen wird) ein umfassendes Bild von Leben und Werk dieses grossen Forschers liefert.

In der Geschichte der Wissenschaften ist es gewiss ein seltener Fall, wenn eine ganze wissenschaftliche Disziplin von grundlegender Bedeutung der schopferischen Tat eines einzelnen zu verdanken ist. Dieser Fall ist verwirk licht in der Schopfung Georg Oantors, der Mengenlehre, einerneuen mathe matischen Disziplin, die wahrend eines Zeitraumes von etwa 25 Jahren in einer Reihe von Abhandlungen ein und desselben Forschers in ihren Grund zugen entwickelt, seitdem zum bleibenden Besitze der Wissenschaft geworden ist, so dass alle spateren Forschungen auf diesem Gebiete nur noch als ergan zende Ausfuhrungen seiner grundlegenden Gedanken aufzufassen sind. Aber auch abgesehen von dieser ihrer historischen Bedeutung sind die Oan torschen Originalabhandlungen noch fur den heutigen Leser von unmittelbarem Inter esse, in ihrer klassischen Einfachheit und Prazision ebenso zur ersten Ein fuhrung geeignet und darin noch von keinem neueren Lehrbuch ubertroffen, wie auch fur den Fortgeschrittenen durch die Fulle der zugrunde liegenden Gedanken eine genussreich anregende Lekture. Der immer noch wachsende Einfluss der Mengenlehre auf alle Zweige der modernen Mathematik und vor allem ihre uberragende Bedeutung fur die heutige Grundlagenforschung haben bei Mathematikern wie bei Philosophen den Wunsch entstehen lassen, die in verschiedenen Zeitschriften zerstreuten und teilweise schwer zugang lichen Abhandlungen in ihrem naturlichen Zusammenhange lesen und stu dieren zu konnen."

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

2010 Reprint of 1915 Edition. Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers. In fact, Cantor's theorem implies the existence of an "infinity of infinities." He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware. In 1895-97 Cantor fully propounded his view of continuity and the infinite, including infinite ordinals and cardinals, in his best known work, Contributions to the Founding of the Theory of Transfinite Numbers . This work contains his conception of transfinite numbers, to which he was led by his demonstration that an infinite set may be placed in a one-to-one correspondence with one of its subsets.

"In it, Jourdain outlines the contributions of many of Cantor s forerunners including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel and then further contextualizes Cantor s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: the addition and multiplication of powers the exponentiation of powers the finite cardinal numbers the smallest transfinite cardinal number aleph-zero addition and multiplication of ordinal types well-ordered aggregates the ordinal numbers of well-ordered aggregates and much more. German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."