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.
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.
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.
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.
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.
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:
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.
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.
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.
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.
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 a world where natural selection has shaped adaptations of astonishing ingenuity, what is the scope and unique power of rational thinking? In this short but wide-ranging book, philosopher Ronald de Sousa looks at the twin set of issues surrounding the power of natural selection to mimic rational design, and rational thinking as itself a product of natural selection. While we commonly deem ourselves superior to other species, the logic of natural selection should not lead us to expect that nature does everything for the best. Similarly, rational action does not always promote the best possible outcomes. So what is the difference? Is the pursuit of rationality actually an effective strategy? Part of the answer lies in language, including mathematics and science. Language is the most striking device by which we have made ourselves smarter than our nearest primate cousins. Sometimes the purely instinctual responses we share with other animals put explicit reasoning to shame: the movements of a trained athlete are faster and more accurate than anything she could explicitly calculate. Language, however, with its power to abstract from concrete experience and to range over all aspects of nature, enables breathtakingly precise calculations, which have taken us to the moon and beyond. Most importantly, however, language enables us to formulate an endless multiplicity of values, in potential conflict with one another as well as with instinctual imperatives. In short, this sophisticated and entertaining book shows how our rationality and our irrationality are inextricably intertwined. Ranging over a wide array of evidence, it explores the true ramifications of being human in the natural world.
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.
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: Discussion of theory and applications of algebraic curves over finite fields with many rational points.
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.
Download or read book Philosophy of Personal Identity and Multiple Personality written by and published by Routledge. This book was released on with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Derek Parfit s Reasons and Persons written by Andrea Sauchelli and published by Routledge. This book was released on 2020-02-12 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derek Parfit (1942–2017) is widely considered to be one of the most important moral philosophers of the twentieth century. Reasons and Persons is arguably the most influential of the two books published in his lifetime and hailed as a classic work of ethics and personal identity. Derek Parfit’s Reasons and Persons: An Introduction and Critical Inquiry is an outstanding introduction to and assessment of Parfit’s book, with chapters by leading scholars of ethics, metaphysics and of Parfit’s work. Part I provides a much-needed introduction to key topics and themes in Reasons and Persons that will be useful for those new to Parfit’s complex work. These include Parfit’s idea of self-defeating theories, rationality and time, personal identity, future generations and well-being. Part II explores various debates generated by Reasons and Persons, including its connections with Buddhism, metaethics, theory of rationality, transformative choices and further developments in personal identity and metaphysics such as conativism. Combining clear exposition of the major topics and arguments in Reasons and Persons with scholarly perspectives on more advanced themes, this book is ideal for students of ethics, metaethics, metaphysics and anyone interested in Derek Parfit’s philosophy.
