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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."
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