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From A Rational Point Of View
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Book Synopsis From a Rational Point of View by : Tim Henning
Download or read book From a Rational Point of View written by Tim Henning and published by Oxford University Press. This book was released on 2018 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Henning applies insights from the philosophy of language and formal semantics to problems in practical philosophy, and solves notorious puzzles about the reasons we have, what it is rational for us to do, and what we ought to do. He offers a more unified understanding of normative and practical discourse.
Book Synopsis Rational Points on Elliptic Curves by : Joseph H. Silverman
Download or read book Rational Points on Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry.
Book Synopsis Rational Points on Varieties by : Bjorn Poonen
Download or read book Rational Points on Varieties written by Bjorn Poonen and published by American Mathematical Soc.. This book was released on 2017-12-13 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Book Synopsis Rational Points and Arithmetic of Fundamental Groups by : Jakob Stix
Download or read book Rational Points and Arithmetic of Fundamental Groups written by Jakob Stix and published by Springer. This book was released on 2012-10-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Heavenly Mansions and Other Essays on Architecture by : John Summerson
Download or read book Heavenly Mansions and Other Essays on Architecture written by John Summerson and published by W. W. Norton & Company. This book was released on 1998 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brilliantly written essays on the aesthetic principles and enduring motives of architecture.
Book Synopsis Rational Points on Modular Elliptic Curves by : Henri Darmon
Download or read book Rational Points on Modular Elliptic Curves written by Henri Darmon and published by American Mathematical Soc.. This book was released on 2004 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book surveys some recent developments in the arithmetic of modular elliptic curves. It places a special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by modularity in shedding light on these two closely related issues. The main theme of the book is the theory of complex multiplication, Heegner points, and some conjectural variants. The first three chapters introduce the background and prerequisites: elliptic curves, modular forms and the Shimura-Taniyama-Weil conjecture, complex multiplication and the Heegner point construction. The next three chapters introduce variants of modular parametrizations in which modular curves are replaced by Shimura curves attached to certain indefinite quaternion algebras. The main new contributions are found in Chapters 7-9, which survey the author's attempts to extend the theory of Heegner points and complex multiplication to situations where the base field is not a CM field. Chapter 10 explains the proof of Kolyvagin's theorem, which relates Heegner points to the arithmetic of elliptic curves and leads to the best evidence so far for the Birch and Swinnerton-Dyer conjecture.
Book Synopsis Rational Points on Algebraic Varieties by : Emmanuel Peyre
Download or read book Rational Points on Algebraic Varieties written by Emmanuel Peyre and published by Birkhäuser. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of rational and integral points on higher-dimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies. The present volume gives a glimpse of the state of the art of this rapidly expanding domain in arithmetic geometry. The techniques involve explicit geometric constructions, ideas from the minimal model program in algebraic geometry as well as analytic number theory and harmonic analysis on adelic groups.
Book Synopsis The Bounds of Agency by : Carol Rovane
Download or read book The Bounds of Agency written by Carol Rovane and published by Princeton University Press. This book was released on 2019-03-26 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of personal identity is one of the most central and most contested and exciting in philosophy. Ever since Locke, psychological and bodily criteria have vied with one another in conflicting accounts of personal identity. Carol Rovane argues that, as things stand, the debate is unresolvable since both sides hold coherent positions that our common sense, she maintains, is conflicted; so any resolution to the debate is bound to be revisionary. She boldly offers such a revisionary theory of personal identity by first inquiring into the nature of persons. Rovane begins with a premise about the distinctive ethical nature of persons to which all substantive ethical doctrines, ranging from Kantian to egoist, can subscribe. From this starting point, she derives two startling metaphysical possibilities: there could be group persons composed of many human beings and muliple persons within a single human being. Her conclusions supports Locke's distinction between persons and human beings, but on altogether new grounds. These grounds lie in her radically normative analysis of the condition of personal identity, as the condition in which a certain normative commitment arises, namely, the commitment to achieve overall rational unity within a rational point of view. It is by virtue of this normative commitment that individual agents can engage one another specifically as persons, and possess the distinctive ethical status of persons. Carol Rovan is Associate Professor of Philosophy at Yale University. Originally published in 1997. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties by : Carlo Gasbarri
Download or read book Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties written by Carlo Gasbarri and published by American Mathematical Soc.. This book was released on 2015-12-22 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation. This book is co-published with the Centre de Recherches Mathématiques.
Book Synopsis Rationality and Decision Making by : Marek Hetmański
Download or read book Rationality and Decision Making written by Marek Hetmański and published by Poznań Studies in the Phi. This book was released on 2018 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rationality and Decision Making: From Normative Rules to Heuristics' offers a broad overview of both classic and very recent discussions concerning rationality and strategies of individual and group decision making. They are considered from a methodological, ethical, sociological, historical, cultural as well as an evolutionary perspective. Decision making, both rational and irrational, is treated in its complexity as an algorithmic, heuristic and intuitive process. The volume analyzes the theoretical and practical aspects of decision making in individual intentional endeavors and group or institutionalized undertakings. The analyses are mostly theoretical but they also appeal to empirical studies, proposed by philosophers and cognitive scientists who have studied logical, cognitive, biological, social and evolutionary aspects of human rationality.
Download or read book Why Think? written by Ronald de Sousa and published by Oxford University Press. This book was released on 2007-06-25 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this short and accessible book, Ronald de Sousa shows us that in order to understand what is truly important about our reasoning capacity, we need to change our thinking about what rationality actually is.
Book Synopsis The Moral Point of View by : Kurt Baier
Download or read book The Moral Point of View written by Kurt Baier and published by . This book was released on 1965 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Points written by Gerd Faltings and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Points on Curves Over Finite Fields by : Harald Niederreiter
Download or read book Rational Points on Curves Over Finite Fields written by Harald Niederreiter and published by Cambridge University Press. This book was released on 2001-06-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
Book Synopsis Self-Knowledge and Resentment by : Akeel Bilgrami
Download or read book Self-Knowledge and Resentment written by Akeel Bilgrami and published by Harvard University Press. This book was released on 2012-03-05 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Self-Knowledge and Resentment, Akeel Bilgrami argues that self-knowledge of our intentional states is special among all the knowledges we have because it is not an epistemological notion in the standard sense of that term, but instead is a fallout of the radically normative nature of thought and agency. Four themes or questions are brought together into an integrated philosophical position: What makes self-knowledge different from other forms of knowledge? What makes for freedom and agency in a deterministic universe? What makes intentional states of a subject irreducible to its physical and functional states? And what makes values irreducible to the states of nature as the natural sciences study them? This integration of themes into a single and systematic picture of thought, value, agency, and self-knowledge is essential to the book's aspiration and argument. Once this integrated position is fully in place, the book closes with a postscript on how one might fruitfully view the kind of self-knowledge that is pursued in psychoanalysis.
Book Synopsis The Point of View of the Universe by : Katarzyna de Lazari-Radek
Download or read book The Point of View of the Universe written by Katarzyna de Lazari-Radek and published by Oxford University Press, USA. This book was released on 2014 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tests the views and metaphor of 19th-century utilitarian philosopher Henry Sidgwick against a variety of contemporary views on ethics, determining that they are defensible and thus providing a defense of objectivism in ethics and of hedonistic utilitarianism.
Book Synopsis Groups as Agents by : Deborah Perron Tollefsen
Download or read book Groups as Agents written by Deborah Perron Tollefsen and published by John Wiley & Sons. This book was released on 2015-06-03 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the social sciences and in everyday speech we often talk about groups as if they behaved in the same way as individuals, thinking and acting as a singular being. We say for example that "Google intends to develop an automated car", "the U.S. Government believes that Syria has used chemical weapons on its people", or that "the NRA wants to protect the rights of gun owners". We also often ascribe legal and moral responsibility to groups. But could groups literally intend things? Is there such a thing as a collective mind? If so, should groups be held morally responsible? Such questions are of vital importance to our understanding of the social world. In this lively, engaging introduction Deborah Tollefsen offers a careful survey of contemporary philosophers? answers to these questions, and argues for the unorthodox view that certain groups should, indeed, be treated as agents and deserve to be held morally accountable. Tollefsen explores the nature of belief, action and intention, and shows the reader how a belief in group agency can be reconciled with our understanding of individual agency and accountability. Groups as Agents will be a vital resource for scholars as well as for students of philosophy and the social sciences encountering the topic for the first time.
