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Author: Arend Heyting
Publisher:
ISBN:
Category : Intuition
Languages : en
Pages : 156
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Book Description
Author: Arend Heyting
Publisher:
ISBN:
Category : Intuition
Languages : en
Pages : 156
Get Book Here
Book Description
Author: Arend Heyting
Publisher:
ISBN:
Category :
Languages : en
Pages : 145
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Book Description
Author: Michael Dummett
Publisher: Oxford University Press
ISBN: 9780198505242
Category : Mathematics
Languages : en
Pages : 350
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Book Description
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: M. Huemer
Publisher: Springer
ISBN: 023059705X
Category : Philosophy
Languages : en
Pages : 331
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Book Description
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: Al'bert Grigor'evi_ Dragalin
Publisher: American Mathematical Soc.
ISBN: 0821845209
Category : Mathematics
Languages : en
Pages : 242
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Book Description
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.
Author: Sten Lindström
Publisher: Springer Science & Business Media
ISBN: 1402089260
Category : Mathematics
Languages : en
Pages : 509
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Book Description
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: Tamar Gendler
Publisher: Oxford University Press
ISBN: 0199589763
Category : Philosophy
Languages : en
Pages : 373
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Book Description
Tamar Gendler draws together in this book a series of essays in which she investigates philosophical methodology, which is now emerging as a central topic of philosophical discussions. Three intertwined themes run through the volume: imagination, intuition and philosophical methodology. Each of the chapters focuses, in one way or another, on how we engage with subject matter that we take to be imaginary. This theme is explored in a wide range of cases, including scientific thought experiments, early childhood pretense, thought experiments concerning personal identity, fictional emotions, self-deception, Gettier cases, and the general relation of conceivability to possibility. Each of the chapters explores, in one way or another, the implications of this for how thought experiments and appeals to intuition can serve as mechanisms for supporting or refuting scientific or philosophical claims. And each of the chapters self-consciously exhibits a particular philosophical methodology: that of drawing both on empirical findings from contemporary psychology, and on classic texts in the philosophical tradition (particularly the work of Aristotle and Hume.) By exploring and exhibiting the fruitfulness of these interactions, Gendler promotes the value of engaging in such cross-disciplinary conversations in illuminating philosophical issues.
Author: Robert Audi
Publisher: Princeton University Press
ISBN: 1400826071
Category : Philosophy
Languages : en
Pages : 256
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Book Description
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: Steven Tijms
Publisher: World Scientific
ISBN: 9811229201
Category : Mathematics
Languages : en
Pages : 254
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Book Description
Chance rules our daily lives in many different ways. From the outcomes of the lottery to the outcomes of medical tests, from the basketball court to the court of law. The ways of chance are capricious. Bizarre things happen all the time. Nevertheless, chance has a logic of its own. It obeys the rules of probability. But if you open a standard book on probability, you may very well feel far removed from everyday life. Abstract formulas and mathematical symbols stare back at you with almost every turn of the page.This book introduces you to the logic of chance without the use of mathematical formulas or symbols. In Part One, you will meet the fascinating pioneers of the mathematics of probability, including Galileo Galilei and Blaise Pascal. Their stories will introduce you, step by step, to the basics of probability. In Part Two, various examples in all areas of daily life will show you how chance defies our expectations time and again. But armed with the basic rules of probability and a good dose of inventiveness, you will be able to unravel the counter-intuitive logic of chance.
Author: Jeffrey Zax
Publisher: Stanford University Press
ISBN: 0804777209
Category : Business & Economics
Languages : en
Pages : 673
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Book Description
Introductory Econometrics: Intuition, Proof, and Practice attempts to distill econometrics into a form that preserves its essence, but that is acceptable—and even appealing—to the student's intellectual palate. This book insists on rigor when it is essential, but it emphasizes intuition and seizes upon entertainment wherever possible. Introductory Econometrics is motivated by three beliefs. First, students are, perhaps despite themselves, interested in questions that only econometrics can answer. Second, through these answers, they can come to understand, appreciate, and even enjoy the enterprise of econometrics. Third, this text, which presents select innovations in presentation and practice, can provoke readers' interest and encourage the responsible and insightful application of econometric techniques. In particular, author Jeffrey S. Zax gives readers many opportunities to practice proofs—which are challenging, but which he has found to improve student comprehension. Learning from proofs gives readers an organic understanding of the message behind the numbers, a message that will benefit them as they come across statistics in their daily lives. An ideal core text for foundational econometrics courses, this book is appropriate for any student with a solid understanding of basic algebra—and a willingness to use that tool to investigate complicated issues.
