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| g cantor biography: Georg Cantor Joseph Warren Dauben, 1990-10-10 One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a corrupter of youth for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory. |
| g cantor biography: Contributions to the Founding of the Theory of Transfinite Numbers Georg Cantor, 1915 |
| g cantor biography: Cantorian Set Theory and Limitation of Size Michael Hallett, 1986 This volume presents the philosophical and heuristic framework Cantor developed and explores its lasting effect on modern mathematics. Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics. --The American Mathematical Monthly |
| g cantor biography: Labyrinth of Thought Jose Ferreiros, 2001-11-01 José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization. (Bulletin of Symbolic Logic) |
| g cantor biography: A Brief History of Infinity Brian Clegg, 2013-02-07 'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read. |
| g cantor biography: Naming Infinity Loren Graham, Jean-Michel Kantor, 2009-03-31 In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity. |
| g cantor biography: One, Two, Three ... Infinity George Gamow, 1965 |
| g cantor biography: The Eddie Cantor Story David Weinstein, 2018 A lively biography of the popular showman Eddie Cantor, with a focus on his involvement in Jewish culture and politics |
| g cantor biography: The Logician and the Engineer Paul Nahin, 2017-04-04 Third printing. First paperback printing. Original copyright date: 2013. |
| g cantor biography: Mathematical Apocrypha Steven G. Krantz, 2002-09-12 Collection of stories about famous contemporary mathematicians, with illustrations. |
| g cantor biography: Everything and More: A Compact History of Infinity David Foster Wallace, 2010-10-04 A gripping guide to the modern taming of the infinite. —New York Times Part history, part philosophy, part love letter to the study of mathematics, Everything and More is an illuminating tour of infinity. With his infectious curiosity and trademark verbal pyrotechnics, David Foster Wallace takes us from Aristotle to Newton, Leibniz, Karl Weierstrass, and finally Georg Cantor and his set theory. Through it all, Wallace proves to be an ideal guide—funny, wry, and unfailingly enthusiastic. Featuring an introduction by Neal Stephenson, this edition is a perfect introduction to the beauty of mathematics and the undeniable strangeness of the infinite. |
| g cantor biography: Galileo Unbound David D. Nolte, 2018-07-12 Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once -- setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world. |
| g cantor biography: Alfred Tarski Anita Burdman Feferman, Solomon Feferman, 2004-10-04 Publisher Description |
| g cantor biography: Making up Numbers: A History of Invention in Mathematics Ekkehard Kopp, 2020-10-23 Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject. |
| g cantor biography: How to Study History Norman F. Cantor, 1986 |
| g cantor biography: Classic Set Theory D.C. Goldrei, 2017-09-06 Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory. |
| g cantor biography: The Elements of Cantor Sets Robert W. Vallin, 2013-07-30 A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: Basic definitions and background theorems as well as comprehensive mathematical details A biography of Georg Ferdinand Ludwig Philipp Cantor, one of the most significant mathematicians of the last century Chapter coverage of fractals and self-similar sets, sums of Cantor Sets, the role of Cantor Sets in creating pathological functions, p-adic numbers, and several generalizations of Cantor Sets A wide spectrum of topics from measure theory to the Monty Hall Problem An ideal text for courses in real analysis, topology, algebra, and set theory for undergraduate and graduate-level courses within mathematics, computer science, engineering, and physics departments, The Elements of Cantor Sets is also appropriate as a useful reference for researchers and secondary mathematics education majors. |
| g cantor biography: Johann Sebastian Bach Christoph Wolff, 2002 Now available in paperback, this landmark biography was first published in 2000 to mark the 250th anniversary of J. S. Bach's death. Written by a leading Bach scholar, this book presents a new picture of the composer. Christoph Wolff demonstrates the intimate connection between Bach's life and his music, showing how the composer's superb inventiveness pervaded his career as a musician, composer, performer, scholar, and teacher. |
| g cantor biography: Mathematicians of the World, Unite! Guillermo Curbera, 2009-02-23 This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int |
| g cantor biography: Men of Mathematics E.T. Bell, 2014-03-31 From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary. |
| g cantor biography: The Art of the Infinite Robert Kaplan, Ellen Kaplan, 2014-07-01 A witty, conversational, and accessible tour of math's profoundest mysteries. Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories. Taking the concept of infinity, in its countless guises, as a starting point and a helpful touchstone, the founders of Harvard's pioneering Math Circle program Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers, explore realms where only the imagination can go, and grapple with math's most profound uncertainties, including the question of truth itself-do we discover mathematical principles, or invent them? |
| g cantor biography: The Continuum, and Other Types of Serial Order, With an Introduction to Cantor's Transfinite Numbers Edward V. Huntington, 2022-10-27 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| g cantor biography: Most Dope Paul Cantor, 2023-01-24 The first biography of rapper Mac Miller, the Pittsburgh cult favorite-turned-rap superstar who touched the lives of millions before tragically passing away at the age of 26--now in paperback Malcolm James McCormick was born on January 19, 1992. He began making music at a young age and by 15 was already releasing mixtapes. One of the first true viral superstars, his early records earned him a rabid legion of die-hard fans--as well as a few noteworthy detractors. But despite his undeniable success, Miller was plagued by struggles with substance abuse and depression, both of which fueled his raw and genre-defying music yet ultimately led to his demise. Through detailed reporting and interviews with dozens of Miller''s confidants, Paul Cantor brings you to leafy Pittsburgh, seductive Los Angeles, and frenzied New York, where you will meet Miller''s collaborators, producers, business partners, best friends, and even his roommates. Traveling deep into Miller''s inner circle, behind the curtain, the velvet ropes, and studio doors, Most Dope tells the story of a passionate, gifted young man who achieved his life''s ambition, only to be undone by his personal demons. Most Dope is part love letter, part cautionary tale, never shying away from the raw, visceral way Mac Miller lived his life. Advance Praise for Most Dope A compelling and refreshingly honest tale of a rapper who forged a path to success on his own terms. Intersecting with Donald Trump, Rick Rubin, Kendrick Lamar, John Mayer, Jay-Z, and perhaps most famously Ariana Grande, Cantor pulls no punches, detailing Mac''s highs, lows, hard-earned triumphs, and self-inflicted tragedies. --Jonathan Shecter, founding editor of The Source A painstaking portrait illuminating why Miller''s humility, humor, introspection, and sensitivity endeared him to millions, rendering his struggle with addiction--and ultimate death--frustrating and painful. Cantor admirably keeps Miller''s memory alive, both for dedicated fans and those just discovering this iconic figure. --Chris Morrow, coauthor of seven New York Times bestsellers, including Hustle Harder, Hustle Smarter with 50 Cent Following Mac Miller from his early days as a charismatic teen rapper through all the twists and turns of his rich creative evolution, this expertly researched coming-of-age story details all the struggles and triumphs of Mac''s short life, painting a poignant portrait of a young man who craved respect and never stopped searching.--Brendan Frederick, executive at Genius and former editor at Complex and XXL In this wrenching biography, Mac Miller ponders what it means to be invincible, a dangerous illusion to which all MCs are prone. Tracking Miller''s journey every step of the way, Cantor never flinches from the truth, just like his subject. Fair-minded, clear-eyed, fearless--Paul Cantor is the biographer Miller deserves. --Rob Kenner, author of The Marathon Don''t Stop: The Life and Times of Nipsey Hussle Hilarious at times, heartbreaking at others, but gripping, poetic, and respectful throughout. Whether you''re a longtime fan or new to Mac''s universe, Cantor has your definitive starting point. --Justin Tinsley, senior writer at ESPN''s the Undefeated and host of the Nipsey Hussle podcast King of Crenshaw In Mac Miller''s origin story, buckle in for a high-speed race and hold on to your seats through the tortuous twists and turns. . . . The perfect alchemy of rich history and fascinating storytelling voiced by the most important people in Mac''s life. --Evan Auerbach, UpNorthTrips, and coauthor of No Sleep: Nightlife Flyers 1988-1999 and Do Remember: The Golden Era of Hip-Hop Mixtapes in NYC More than just a peek into Miller''s ''live fast, die young'' life, a deep dive into the young icon''s journey, with firsthand accounts of who Mac truly was. Thoroughly researched and detailed, Most Dope is an essential introduction. --Kathy Iandoli, author of Baby Girl: Better Known as Aaliyah and coauthor of Lil'' Kim''s The Queen Bee Paul Cantor applies the rigor of a skillful journalist with the insight of a solid critic and the passion of a true fan to tell the story of a memorable rapper claimed by drug addiction before his time. . . . Via interviews with dozens closest to Miller, he makes us feel like we''re on the roller coaster with his subject and illuminates why Miller''s music means so much to so many. --Jim DeRogatis, cohost of Sound Opinions and author of Soulless: The Case Against R. Kelly |
| g cantor biography: Infinity and the Mind Rudolf V Rucker, 2019-07-23 A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author. |
| g cantor biography: A History of Mathematics Luke Hodgkin, 2013-02-21 A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader. |
| g cantor biography: Lectures in set theory, with particular emphasis on the method of forcing Thomas J. Jech, 1971 |
| g cantor biography: The Book of Mac Donna-Claire Chesman, 2021-10-26 An album-by-album celebration of the life and music of Mac Miller through oral histories, intimate reflections, and critical examinations of his enduring work. “One of my most vivid memories of him is the way he would look at you while he was playing you a song. He tried to look you right in the eyes to see how you were feeling about it.” —Will Kalson, friend and first manager Following Mac Miller’s tragic passing in 2018, Donna-Claire Chesman dedicated a year to chronicling his work through the unique lens of her relationship to the music and Mac’s singular relationship to his fans. Like many who’d been following him since he’d started releasing mixtapes at eighteen years old, she felt as if she’d come of age alongside the rapidly evolving artist, with his music being crucial to her personal development. “I want people to remember his humanity as they’re listening to the music, to realize how much bravery and courage it takes to be that honest, be that self-aware, and be that real about things going on internally. He let us witness that entire journey. He never hid that.” —Kehlani, friend and musician. The project evolved to include intimate interviews with many of Mac’s closest friends and collaborators, from his Most Dope Family in Pittsburgh to the producers and musicians who assisted him in making his everlasting music, including Big Jerm, Rex Arrow, Wiz Khalifa, Benjy Grinberg, Just Blaze, Josh Berg, Syd, Thundercat, and more. These voices, along with the author’s commentary, provide a vivid and poignant portrait of this astonishing artist—one who had just released a series of increasingly complex albums, demonstrating what a musical force he was and how heartbreaking it was to lose him. “As I’m reading the lyrics, it’s crazy. It’s him telling us that he hopes we can always respect him. I feel like this is a message from him, spiritually. A lot of the time, his music was like little letters and messages to his friends, family, and people he loved, to remind them of who he really was.” —Quentin Cuff, best friend and tour manager. |
| g cantor biography: Inventing the Middle Ages Norman Cantor, 2023-06-29 The Middle Ages, in our cultural imagination, are besieged with ideas of wars, tournaments, plagues, saints and kings, knights, lords and ladies. In his era-defining work, Inventing the Middle Ages, Norman Cantor shows that these presuppositions are in fact constructs of the twentieth century. Through close study of the lives and works of twenty of the twentieth century's most prominent medievalists, Cantor examines how the genesis of this fantasy arose in the scholars' spiritual and emotional outlooks, which influenced their portrayals of the Middle Ages. In the course of this vigorous scrutiny of their scholarship, he navigates the strong personalities and creative minds involved with deft skill. Written with both students and the general public in mind, Inventing the Middle Ages provided an alternative framework for the teaching of the humanities. Revealing the interconnection between medieval civilisation, the culture of the twentieth century and our own assumptions, Cantor provides a unique standpoint both forwards and backwards. As lively and engaging today as when it was first published in 1991, his analysis offers readers the core essentials of the subject in an entertaining and humorous fashion. |
| g cantor biography: The Origins of Cauchy's Rigorous Calculus Judith V. Grabiner, 2012-05-11 This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition. |
| g cantor biography: The Man Who Loved Only Numbers Paul Hoffman, 2024-05-07 A funny, marvelously readable portrait of one of the most brilliant and eccentric men in history. --The Seattle Times Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdos would show up on the doorstep of one mathematician or another and announce, My brain is open. After working through a problem, he'd move on to the next place, the next solution. Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdos's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdos never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdos: A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life. The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as epsilons, from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, Finally I am becoming stupider no more; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdos over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdos is no doubt missed. --Therese Littleton |
| g cantor biography: The Philosophy of Set Theory Mary Tiles, 2012-03-08 DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div |
| g cantor biography: The Power of the Continuum ... Harold Arthur Penrhyn Pittard- Bullock, 1905 |
| g cantor biography: From Kant to Hilbert Volume 2 William Bragg Ewald, William Ewald, 1999 This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available as a separate volume. |
| g cantor biography: Jolson Herbert G. Goldman, 1990 Audiences knew him for four decades as The World's Greatest Entertainer. Now Herbert G. Goldman gives us the definitive biography of this quintessential star of the musical stage. With a sure eye for the revealing anecdote, Goldman chronicles each step of Al Jolson's colorful life from his early struggles with his brother, Harry, on the vaudeville and burlesque circuit and his rise to stardom on Broadway; through his glory at the pinnacle of national fame, which came with his appearances in the movies The Jazz Singer (the first talking picture) and The Singing Fool; to his final round of appearances in 1950, entertaining American troops in Korea just before his death. Goldman explores the complexities of the Jolson personality, as revealed in his four stormy marriages and his relations with family, business associates, friends, and enemies. Exhaustively researched and well-rounded, this beautifully-written biography offers a vivid portrait Jolson the entertainer--a man of the stage whose exuberant optimism and magnetic energy enthralled three generations of audiences. |
| g cantor biography: Writing the History of Mathematics: Its Historical Development Joseph W. Dauben, Christoph J. Scriba, 2002-09-23 As an historiographic monograph, this book offers the first detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. Basically, Writing the History of Mathematics provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s. A special project of the International Commission on History of Mathematics, this work is the result of more than ten years of collaboration by a team of 32 experts, each writing about the history of mathematics in their own countries or regions, and drawing upon extensive research and archival study. Divided into three parts, Writing the History of Mathematics begins with country-by-country surveys from ancient times to the end of the 20th century, covering virtually every part of the world where the history of mathematics has been written. In addition to individuals, such institutions as universities, academies, institutes, libraries, and the like are also covered, including journals, encyclopedias, and other collective projects that promote history of mathematics. The second part of the book contains biographies of 300 historians of mathematics, along with bibliographies of their works and relevant biographical sources. The third part of the book provides a comprehensive bibliography of the most important literature devoted to the history of mathematics in Western languages. The book also includes portraits of twenty-five historians of mathematics. |
| g cantor biography: Sets, Logic, Computation Richard Zach, 2021-07-13 A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org. |
| g cantor biography: Godel, Escher, Bach Douglas R. Hofstadter, 1979 Winner of the Pulitzer Prize, this book applies Godel's seminal contribution to modern mathematics to the study of the human mind and the development of artificial intelligence. |
| g cantor biography: Transformation and Tradition in the Sciences Everett Mendelsohn, 2002 A collection of essays on the development of science and the history of ideas. |
| g cantor biography: George Cantor (1845-1918). , Presents information about George, also spelled Georg, Cantor (1845-1918), a German mathematician. Includes a brief biography. Notes that Cantor developed a theory of irrational numbers and the theory of sets. Links to sites related to Cantor. Notes that the information is provided as part of the Western Canon Web site. |
| g cantor biography: Dictionary of Scientific Biography Charles Coulston Gillispie, 1970 Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography. |
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