Author: T. Placek
Publisher: Springer
Keywords: intuitionism, synthese, library, arguments, critical, intersubjectivity, mathematical, exposition
Number of Pages: 228
Published: 1999-06-30
List price: $135.00
ISBN-10: 0792356306
ISBN-13: 9780792356301

This book is the first modern examination of the philosophical foundations of intuitionism since Oscar Becker’s (1927) Mathematische Existenz. Placek examines the three most widely-known arguments for mathematical intuitionism: Brouwer’s, Heyting’s and Dummett’s. The examination centres on the questions of the intersubjectivity of mathematics and is concerned with understanding and evaluating the arguments. An unprejudiced stance leads to refreshing conclusions concerning Brouwer: the philosophical side of Brouwer’s doctrine cannot be accused of such sins

Author: Michael Huemer
Publisher: Palgrave Macmillan
Keywords: intuitionism, ethical
Number of Pages: 256
Published: 2008-04-15
List price: $31.00
ISBN-10: 0230573746
ISBN-13: 9780230573741

A defense 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: Philip Stratton-Lake
Publisher: Oxford University Press, USA
Keywords: evaluations, intuitionism, ethical
Number of Pages: 320
Published: 2003-02-27
List price: $50.00
ISBN-10: 0198250983
ISBN-13: 9780198250982

Ethical intuitionists believe that there is an irreducible plurality of basic moral principles, that these principles are self-evident, and that rightness and goodness are indefinable properties that cannot be understood in wholly naturalistic terms. In this collection, leading moral philosophers consider how these views are to be understood, and what implications they have for our understanding of morality.

Author: Michael Dummett
Publisher: Oxford University Press, USA
Keywords: guides, logic, oxford, intuitionism, elements
Number of Pages: 344
Published: 2000-08-17
List price: $199.00
ISBN-10: 0198505248
ISBN-13: 9780198505242

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

Author: Brian Zamulinski
Publisher: McGill-Queen’s University Press
Keywords: moral, facts, nature, origin, intuitionism, theory, evolutionary
Number of Pages: 184
Published: 2007-03-19
List price: $24.95
ISBN-10: 0773531580
ISBN-13: 9780773531581

It seems impossible that organisms selected to maximize their genetic legacy could also be moral agents in a world in which taking risks for strangers is sometimes morally laudable. Brian Zamulinski argues that it is possible if morality is an evolutionary by-product rather than an adaptation. "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 norma

Authors:Sten Lindström, Erik Palmgren, Krister Segerberg, Vig
Publisher: Springer
Keywords: library, synthese, formalism, intuitionism, logicism
Number of Pages: 532
Published: 2008-12-02
List price: $329.00
ISBN-10: 1402089252
ISBN-13: 9781402089251

The period in the foundations of mathematics that started in 1879 with the publication of Frege’s Begriffsschrift and ended in 1931 with Gödel’s Ãœber formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert’s formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous

Author: Lorne Falkenstein
Publisher: University of Toronto Press
Keywords: toronto, studies, philosophy, aesthetic, transcendental, intuitionism, commentary, kant
Number of Pages: 496
Published: 2004-03-24
List price: $46.95
ISBN-10: 0802037747
ISBN-13: 9780802037749

Ever since the publication of his Critique of Pure Reason in 1781, Immanuel Kant has occupied a central position in the philosophical world. In Kant’s Intuitionism ? the most detailed study of Kant’s views on the opening sections of the Critique since Hans Vaihinger’s Commentar zur Kants Kritik der reinen Vernunft more than a century ago ? Lorne Falkenstein focuses on one aspect of Kant’s Transcendental Aesthetic, namely, his position on how we manage to intuit the properties and relations of objects as they exist in space and time.The question of how much structure sen