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Author : Arend Heyting
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.3/5 (91 download)
Download or read book Intuitionism written by Arend Heyting and published by . This book was released on 1966 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arend Heyting
Publisher :
ISBN 13 :
Total Pages : 145 pages
Book Rating : 4.:/5 (63 download)
Download or read book Intuitionism an Introduction written by Arend Heyting and published by . This book was released on 1971 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Huemer
Publisher : Springer
ISBN 13 : 023059705X
Total Pages : 331 pages
Book Rating : 4.2/5 (35 download)
Download or read book Ethical Intuitionism written by M. Huemer and published by Springer. This book was released on 2007-12-14 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: A defence of ethical intuitionism where (i) there are objective moral truths; (ii) we know these through an immediate, intellectual awareness, or 'intuition'; and (iii) knowing them gives us reasons to act independent of our desires. The author rebuts the major objections to this theory and shows the difficulties in alternative theories of ethics.
Author : Michael Dummett
Publisher : Oxford University Press
ISBN 13 : 9780198505242
Total Pages : 350 pages
Book Rating : 4.5/5 (52 download)
Download or read book Elements of Intuitionism written by Michael Dummett and published by Oxford University Press. This book was released on 2000 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957617
Total Pages : 159 pages
Book Rating : 4.0/5 (89 download)
Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection
Author : Carl J. Posy
Publisher : Cambridge University Press
ISBN 13 : 1108593259
Total Pages : 116 pages
Book Rating : 4.1/5 (85 download)
Download or read book Mathematical Intuitionism written by Carl J. Posy and published by Cambridge University Press. This book was released on 2020-11-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
Author : Anne S. Troelstra
Publisher : Springer
ISBN 13 : 3540361308
Total Pages : 114 pages
Book Rating : 4.5/5 (43 download)
Download or read book Principles of Intuitionism written by Anne S. Troelstra and published by Springer. This book was released on 2006-11-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sten Lindström
Publisher : Springer Science & Business Media
ISBN 13 : 1402089260
Total Pages : 509 pages
Book Rating : 4.4/5 (2 download)
Download or read book Logicism, Intuitionism, and Formalism written by Sten Lindström and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
Author : Robert Audi
Publisher : Princeton University Press
ISBN 13 : 1400826071
Total Pages : 256 pages
Book Rating : 4.4/5 (8 download)
Download or read book The Good in the Right written by Robert Audi and published by Princeton University Press. This book was released on 2009-01-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the most comprehensive account to date of an important but widely contested approach to ethics--intuitionism, the view that there is a plurality of moral principles, each of which we can know directly. Robert Audi casts intuitionism in a form that provides a major alternative to the more familiar ethical perspectives (utilitarian, Kantian, and Aristotelian). He introduces intuitionism in its historical context and clarifies--and improves and defends--W. D. Ross's influential formulation. Bringing Ross out from under the shadow of G. E. Moore, he puts a reconstructed version of Rossian intuitionism on the map as a full-scale, plausible contemporary theory. A major contribution of the book is its integration of Rossian intuitionism with Kantian ethics; this yields a view with advantages over other intuitionist theories (including Ross's) and over Kantian ethics taken alone. Audi proceeds to anchor Kantian intuitionism in a pluralistic theory of value, leading to an account of the perennially debated relation between the right and the good. Finally, he sets out the standards of conduct the theory affirms and shows how the theory can help guide concrete moral judgment. The Good in the Right is a self-contained original contribution, but readers interested in ethics or its history will find numerous connections with classical and contemporary literature. Written with clarity and concreteness, and with examples for every major point, it provides an ethical theory that is both intellectually cogent and plausible in application to moral problems.
Author : Colson Whitehead
Publisher : Anchor
ISBN 13 : 0307819965
Total Pages : 273 pages
Book Rating : 4.3/5 (78 download)
Download or read book The Intuitionist written by Colson Whitehead and published by Anchor. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This debut novel by the two time Pulitzer Prize-winning author of The Underground Railroad and The Nickel Boys wowed critics and readers everywhere and marked the debut of an important American writer. Nominated as one of America’s best-loved novels by PBS’s The Great American Read. It is a time of calamity in a major metropolitan city's Department of Elevator Inspectors, and Lila Mae Watson, the first black female elevator inspector in the history of the department, is at the center of it. There are two warring factions within the department: the Empiricists, who work by the book and dutifully check for striations on the winch cable and such; and the Intuitionists, who are simply able to enter the elevator cab in question, meditate, and intuit any defects. Lila Mae is an Intuitionist and, it just so happens, has the highest accuracy rate in the entire department. But when an elevator in a new city building goes into total freefall on Lila Mae's watch, chaos ensues. It's an election year in the Elevator Guild, and the good-old-boy Empiricists would love nothing more than to assign the blame to an Intuitionist. But Lila Mae is never wrong. The sudden appearance of excerpts from the lost notebooks of Intuitionism's founder, James Fulton, has also caused quite a stir. The notebooks describe Fulton's work on the "black box," a perfect elevator that could reinvent the city as radically as the first passenger elevator did when patented by Elisha Otis in the nineteenth century. When Lila Mae goes underground to investigate the crash, she becomes involved in the search for the portions of the notebooks that are still missing and uncovers a secret that will change her life forever. Look for Colson Whitehead’s new novel, Crook Manifesto, coming soon!
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Author : Arend Heyting
Publisher :
ISBN 13 :
Total Pages : 147 pages
Book Rating : 4.:/5 (622 download)
Download or read book Intuitionism. an Introduction. [By] A. Heyting written by Arend Heyting and published by . This book was released on 1971 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Catharine Allan
Publisher : Union Square + ORM
ISBN 13 : 1454936770
Total Pages : 123 pages
Book Rating : 4.4/5 (549 download)
Download or read book A Little Bit of Intuition written by Catharine Allan and published by Union Square + ORM. This book was released on 2019-10-22 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover, understand, and develop your extrasensory perception with this accessible introduction to the power of intuition. Intuition is something we’re all born with and use every day. But few of us consciously explore this innate ability. In A Little Bit of Intuition, spiritual life coach Catherine Allan teaches readers how to not only recognize their intuitive sense, but also to strengthen it like a muscle. With the right work, we all can increase our intuitive ability. Drawing on real-life examples from more than two decades of practice and teaching, Allan shows readers how to listen to their intuition, act upon it, and discover the resulting flow and magic that comes from living life intuitively.
Author : Luitzen Egbertus Jan Brouwer
Publisher : Cambridge University Press
ISBN 13 : 9780521177368
Total Pages : 130 pages
Book Rating : 4.1/5 (773 download)
Download or read book Brouwer's Cambridge Lectures on Intuitionism written by Luitzen Egbertus Jan Brouwer and published by Cambridge University Press. This book was released on 1981 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.
Author : Lorne Falkenstein
Publisher : University of Toronto Press
ISBN 13 : 9780802037749
Total Pages : 492 pages
Book Rating : 4.0/5 (377 download)
Download or read book Kant's Intuitionism written by Lorne Falkenstein and published by University of Toronto Press. This book was released on 2004-01-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant's Intuitionism examines Kant's account of the human cognitive faculties, his views on space, and his reasons for denying that we have knowledge of things as they are in themselves.
Author : Maria Hämeen-Anttila
Publisher : Springer Nature
ISBN 13 : 3030872963
Total Pages : 133 pages
Book Rating : 4.0/5 (38 download)
Download or read book Kurt Gödel written by Maria Hämeen-Anttila and published by Springer Nature. This book was released on 2021-12-15 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt Gödel, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Gödel's incompleteness theorem. Gödel then went on to attack Hilbert's first and second Paris problems, namely Cantor's continuum problem about the type of infinity of the real numbers, and the freedom from contradiction of the theory of real numbers. By 1963, it became clear that Hilbert's first question could not be answered by any known means, half of the credit of this seeming faux pas going to Gödel. The second is a problem still wide open. Gödel worked on it for years, with no definitive results; The best he could offer was a start with the arithmetic of the entire numbers. This book, Gödel's lectures at the famous Princeton Institute for Advanced Study in 1941, shows how far he had come with Hilbert's second problem, namely to a theory of computable functionals of finite type and a proof of the consistency of ordinary arithmetic. It offers indispensable reading for logicians, mathematicians, and computer scientists interested in foundational questions. It will form a basis for further investigations into Gödel's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers. The book also gives insights into the conceptual and formal work that is needed for the solution of profound scientific questions, by one of the central figures of 20th century science and philosophy.
Author : Harrie de Swart
Publisher : Springer
ISBN 13 : 3030032558
Total Pages : 539 pages
Book Rating : 4.0/5 (3 download)
Download or read book Philosophical and Mathematical Logic written by Harrie de Swart and published by Springer. This book was released on 2018-11-28 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo
Author : Johan Georg Granström
Publisher : Springer Science & Business Media
ISBN 13 : 9400717369
Total Pages : 198 pages
Book Rating : 4.4/5 (7 download)
Download or read book Treatise on Intuitionistic Type Theory written by Johan Georg Granström and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.
