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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.
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.
Mathematical Intuitionism and Intersubjectivity by Tomasz Placek Pdf
In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being. Brouwer attacked the main currents of the philosophy of mathematics: the formalists and the Platonists. In tum, both these schools began viewing intuitionism as the most harmful party among all known philosophies of mathematics. That was the origin of the now-90-year-old debate over intuitionism. As both sides have appealed in their arguments to philosophical propositions, the discussions have attracted the attention of philosophers as well. One might ask here what role a philosopher can play in controversies over mathematical intuitionism. Can he reasonably enter into disputes among mathematicians? I believe that these disputes call for intervention by a philo sopher. The three best-known arguments for intuitionism, those of Brouwer, Heyting and Dummett, are based on ontological and epistemological claims, or appeal to theses that properly belong to a theory of meaning. Those lines of argument should be investigated in order to find what their assumptions are, whether intuitionistic consequences really follow from those assumptions, and finally, whether the premises are sound and not absurd. The intention of this book is thus to consider seriously the arguments of mathematicians, even if philosophy was not their main field of interest. There is little sense in disputing whether what mathematicians said about the objectivity and reality of mathematical facts belongs to philosophy, or not.
One Hundred Years of Intuitionism (1907-2007) by Mark van Atten,Pascal Boldini,Michel Bourdeau,Gerhard Heinzmann Pdf
Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.
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.
Evolutionary Intuitionism presents a new evolutionary theory of human morality. Zamulinski explains the evolution of foundational attitudes, whose relationships to acts constitute moral facts. With foundational attitudes and the resulting moral facts in place, he shows how they ground a plausible normative morality, give answers to meta-ethical questions, and provide an account of moral motivation. He explains the nature of moral intuitions and, thus, of our access to the moral facts. He shows that the theory makes confirmed empirical predictions, including the observable variation in moral views. The combination of intuitionism and evolutionary ethics enables Zamulinski to overcome the standard objections to both.
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!
The Moral Epistemology of Intuitionism by Hossein Dabbagh Pdf
Covering moral intuition, self-evidence, non-inferentiality, moral emotion and seeming states, Hossein Dabbagh defends the epistemology of moral intuitionism. His line of analysis resists the empirical challenges derived from empirical moral psychology and reveals the seeming-based account of moral intuitionism as the most tenable one. The Moral Epistemology of Intuitionism combines epistemological intuitionism with work in neuroethics to develop an account of the role that moral intuition and emotion play in moral judgment. The book culminates in a convincing argument about the value of understanding moral intuitionism in terms of intellectual seeming and perceptual experience.
Since the 2004 publication of his book The Good in the Right, Robert Audi has been at the forefront of the current resurgence of interest in intuitionism - the idea that human beings have an intuitive sense of right and wrong - in ethics. The New Intuitionism brings together some of the world's most important contemporary writers from such diverse fields as metaethics, epistemology and moral psychology to explore the latest implications of, and challenges to, Audi's work. The book also includes an opening chapter that surveys the development of contemporary intuitionism and a conclusion that lays the ground for future developments and debates both written by Audi himself, making this an essential survey of this important school of ethical thought for anyone working in the field.
Mathematical Intuitionism by Al'bert Grigor'evi_ Dragalin Pdf
In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. This book intends to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic.
Logicism, Intuitionism, and Formalism by Sten Lindström,Erik Palmgren,Krister Segerberg,Viggo Stoltenberg-Hansen Pdf
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.
Since the 2004 publication of his book The Good in the Right, Robert Audi has been at the forefront of the current resurgence of interest in intuitionism - the idea that human beings have an intuitive sense of right and wrong - in ethics. The New Intuitionism brings together some of the world's most important contemporary writers from such diverse fields as metaethics, epistemology and moral psychology to explore the latest implications of, and challenges to, Audi's work. The book also includes an opening chapter that surveys the development of contemporary intuitionism and a conclusion that lays the ground for future developments and debates both written by Audi himself, making this an essential survey of this important school of ethical thought for anyone working in the field.
Intuitionistic Proof Versus Classical Truth by Enrico Martino Pdf
This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism. The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting. This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.