The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis PDF full book. Access full book title The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis by Jacob Bernoulli. Download full books in PDF and EPUB format.
Author: Jacob Bernoulli
Publisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
Get Book Here
Book Description
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
Author: Jacob Bernoulli
Publisher: JHU Press
ISBN: 9780801882357
Category : Mathematics
Languages : en
Pages : 468
Get Book Here
Book Description
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
Author: Clyde Lee Miller
Publisher: CUA Press
ISBN: 0813234166
Category : Philosophy
Languages : en
Pages : 206
Get Book Here
Book Description
“Learned ignorance,” the recognition that God is beyond us and our knowing capacities is the theological concept for which Nicholas of Cusa is most famous. Despite God’s apparent absence Nicholas offers original ways to think about God that would unite his presence with his absence. He called these proposals “conjectures” (coniecturae). Conjecture and conjecturing are central to the methodology of Nicholas’s philosophical theology and to his thinking about human knowledge. By using concrete examples from the everyday life of his times as symbolic imagery Nicholas makes what we say about God imaginatively available and theoretically plausible. He called such conjectural symbols “aenigmata” (= “symbolic or ‘enigmatic’ conjectures”) because they partially clarify and likewise point to an exact truth that is beyond us. Novel and imaginative, Nicholas’s conjectural examples break with the traditional medieval Aristotelian examples and provide further evidence of his role as a figure bridging medieval and Renaissance thought. Following his earlier book, Reading Cusanus (The Catholic University of America Press, 2003), Clyde Lee Miller here examines and comments on the meaning of “conjecture” in Nicholas of Cusa. The Art of Conjecture: Nicholas of Cusa on Knowledge explores what Nicholas meant by conjecture and its import as demonstrated in his treatises and sermons. Beginning with Nicholas’ On Conjectures, Miller analyzes a series of conjectural symbols and proposals across Nicholas’s less frequently discussed texts and recently published sermons. This early Renaissance thinker offers an original and ground-breaking way of framing speculation in philosophical theology and more generally in philosophy itself.
Author: Apostolos Doxiadis
Publisher: Faber & Faber
ISBN: 057129569X
Category : Fiction
Languages : en
Pages : 148
Get Book Here
Book Description
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author: Gabriel Navarro
Publisher: Cambridge University Press
ISBN: 1108428444
Category : Mathematics
Languages : en
Pages : 253
Get Book Here
Book Description
Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.
Author: Wiktor Stoczkowski
Publisher: Cambridge University Press
ISBN: 9780521657303
Category : History
Languages : en
Pages : 248
Get Book Here
Book Description
Wiktor Stoczkowski, a palaeo-anthropologist, argues that the theories of human origins developed by archaeologists and physical anthropologists from the early nineteenth century to the present day are structurally similar to Western folk theories, and to the speculations of earlier philosophers. Reviewing a remarkable range of thinkers writing in a variety of European languages, he makes a convincing argument for this case. Even though the book criticises the lack of development in theories of human origins, its conclusion is optimistic about the power of the scientific approach to deliver more reliable theories - but only if the influences of popular discourse on its thinking are properly identified.
Author: Bertrand de Jouvenel
Publisher: Routledge
ISBN: 1351305662
Category : Philosophy
Languages : en
Pages : 265
Get Book Here
Book Description
Commissions of experts regularly meet to reply to questions such as: What will be the population of the country, or even of our planet, in ten, fifteen or twenty-five years? In what proportion will production have increased, what modifications will its composition and utilizations have undergone? The attraction of efforts to forecast the future continues. That is a fact. How does it proceed? That is a problem, one on which de Jouvenel focuses on in this book. The Art of Conjecture clearly explains what the "study of the future" can mean. De Jouvenel emphasizes the logical and political problems of forecasting and discusses methods in economics, sociology, and political science by which the future can be studied. More importantly, he discusses the fallacies to which the "study of the future" is peculiarly likely to give rise. The author argues that it is natural and necessary for the population to have visions of the future. Without this, he states, we would only be able to set one opinion of the future against another. If the origins and meanings of these predictions remained obscure, only the event could decide among the opinions. If any man can be said to have created the serious "study of the future" in our time, it is Bertrand de Jouvenel. Futuribles, a periodical he created, continues to represent a major turning point in contemporary social science. Jouvenel aimed to show how "the art of conjecture" could inform prudential judgment and allow citizens and statesmen to detect troubles before they arise.
Author: Karen Olsson
Publisher: Macmillan + ORM
ISBN: 0374719632
Category : Biography & Autobiography
Languages : en
Pages : 167
Get Book Here
Book Description
A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.
Author: Jakob Stix
Publisher: Springer
ISBN: 3642306748
Category : Mathematics
Languages : en
Pages : 257
Get Book Here
Book Description
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
Author: James Franklin
Publisher: JHU Press
ISBN: 1421418819
Category : Science
Languages : en
Pages : 807
Get Book Here
Book Description
How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.
Author: Bertrand Russell
Publisher: Open Road Media
ISBN: 1497675693
Category : Philosophy
Languages : en
Pages : 85
Get Book Here
Book Description
Three essays on mathematics, logic, and philosophy from the Noble Prize–winning author of A History of Western Philosophy. The essays in this little volume, published here for the first time in book form, were written by Bertrand Russell during the Second World War when he was less concerned with the stormy issues of nuclear warfare and the containment of Communist aggression and more with “the art of reckoning” in the fields of mathematics, logic and philosophy. The simplicity of Russell’s exposition is astonishing, as is his ability to get to the core of the great philosophical issues and to skillfully probe the depth of philosophical analysis.
