This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.

Ludwig Wittgenstein's Philosophical Investigations is one of the great works of 20th Century philosophy, destined to join the philosophical canon. Like all great works of philosophy, it poses new problems, while creating new forms of argument and persuasion. But unlike most contemporary philosophy texts, it is not structured by chapter and section headings, but rather by numbered passages -- evidence of Wittgenstein's distinctive style and profound originality. This anthology draws together in one volume several recent essays that help to make his problems and arguments more accessible. The essays are grouped into four sections that roughly correspond to the development that one finds in the Investigations. These sections are: reference and meaning; rules and their application; the interiority of mind, and the alleged uses of private languages; and necessity and grammar. Both readers who are new to the Investigations as well as those who are familiar with Wittgenstein's work should find these essays illuminating and engaging.

The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. - Completely revised and updated - includes over 25% new material - Discusses the interface between logic and language - Many of the authors are creators or active developers of the theories

Finland is internationally known as one of the leading centers of twentieth century analytic philosophy. This volume offers for the first time an overall survey of the Finnish analytic school. The rise of this trend is illustrated by original articles of Edward Westermarck, Eino Kaila, Georg Henrik von Wright, and Jaakko Hintikka. Contributions of Finnish philosophers are then systematically discussed in the fields of logic, philosophy of language, philosophy of science, history of philosophy, ethics and social philosophy. Metaphilosophical reflections on the nature of philosophy are highlighted by the Finnish dialogue between analytic philosophy, phenomenology, pragmatism, and critical theory.

125.00 The recent cross-fruition between analytical philosophy and continental philosophical traditions has stimulated an intense interest in the philosophy of philosophy. At stake in the debate is our understanding of the role of philosophy and of the use of argument and reason in culture.Transformative Philosophy articulates a new conception of philosophy through a discussion of salient themes in the analytical tradition, in the work of the later Wittgenstein, and in critical theory. Wallgren traces the genealogy leading to the present impasse on the discourse of philosophy; discusses authors such as Quine, Peter Winch, Michael Dummett, and Ernst Tugendhat; and considers Wittgenstein's conception of philosophy and of the private language argument. Drawing on an analysis of the relations between truth, communal agreement, and the role of the personal will in philosophical argumentation, Transformative Philosophy develops an image of philosophy as a transformative care for self and others. This work makes a great contribution to the study of philosophy and social theory