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| Author | : Tim Henning |
| Publisher | : Oxford University Press |
| Total Pages | : 251 |
| Release | : 2018 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0198797036 |
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.
| Author | : Joseph H. Silverman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 292 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475742525 |
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.
| Author | : Bjorn Poonen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 358 |
| Release | : 2017-12-13 |
| Genre | : Mathematics |
| ISBN | : 1470437732 |
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.
| Author | : John Summerson |
| Publisher | : W. W. Norton & Company |
| Total Pages | : 308 |
| Release | : 1998 |
| Genre | : Architecture |
| ISBN | : 9780393318579 |
Brilliantly written essays on the aesthetic principles and enduring motives of architecture.
| Author | : Jakob Stix |
| Publisher | : Springer |
| Total Pages | : 257 |
| Release | : 2012-10-19 |
| Genre | : Mathematics |
| ISBN | : 3642306748 |
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 | : Carol Rovane |
| Publisher | : Princeton University Press |
| Total Pages | : 270 |
| Release | : 2019-03-26 |
| Genre | : Philosophy |
| ISBN | : 0691655057 |
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.
| Author | : Carlo Gasbarri |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 176 |
| Release | : 2015-12-22 |
| Genre | : Mathematics |
| ISBN | : 1470414589 |
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.
| Author | : Akeel Bilgrami |
| Publisher | : Harvard University Press |
| Total Pages | : 417 |
| Release | : 2012-03-05 |
| Genre | : Philosophy |
| ISBN | : 0674262069 |
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.
| Author | : Deborah Perron Tollefsen |
| Publisher | : John Wiley & Sons |
| Total Pages | : 114 |
| Release | : 2015-06-03 |
| Genre | : Philosophy |
| ISBN | : 0745684874 |
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.
