The best known and most widely discussed aspect of Kurt Gödel's philosophy of mathematics is undoubtedly his robust realism or platonism about mathematical objects and mathematical knowledge. This has scandalized many philosophers but probably has done so less in recent years than earlier. Bertrand Russell's report in his autobiography of one or more encounters with Gödel is well known:Gödel turned out to be an unadulterated Platonist, and apparently believed that an eternal “not” was laid up in heaven, where virtuous logicians (...) might hope to meet it hereafter.On this Gödel commented:Concerning my “unadulterated” Platonism, it is no more unadulterated than Russell's own in 1921 when in the Introduction to Mathematical Philosophy … he said, “Logic is concerned with the real world just as truly as zoology, though with its more abstract and general features.” At that time evidently Russell had met the “not” even in this world, but later on under the infuence of Wittgenstein he chose to overlook it.One of the tasks I shall undertake here is to say something about what Gödel's platonism is and why he held it.A feature of Gödel's view is the manner in which he connects it with a strong conception of mathematical intuition, strong in the sense that it appears to be a basic epistemological factor in knowledge of highly abstract mathematics, in particular higher set theory. Other defenders of intuition in the foundations of mathematics, such as Brouwer and the traditional intuitionists, have a much more modest conception of what mathematical intuition will accomplish. (shrink)

C.S. Peirce, the founder of pragmatism, argued that truth is what we would agree upon, were inquiry to be pursued as far as it could fruitfully go. In this book, Misak argues for and elucidates the pragmatic account of truth, paying attention both to Peirce's texts and to the requirements of a suitable account of truth. An important argument of the book is that we must be sensitive to the difference between offering a definition of truth and engaging in a (...) distinctively pragmatic project. The pragmatic project spells out the relationship between truth and inquiry; it articulates the consequences of a statement's being true. The existence of a distinct pragmatic enterprise has implications for the status of the pragmatic account of truth and for the way in which philosophy should be conducted. (shrink)

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

One task of logic, Peirce held, is to classify arguments so as to determine the validity of each kind. His own classification is interesting because it includes a novel type of argument in addition to the two traditionally recognized types. It is the purpose of this paper to discuss what Peirce thought to be sufficiently distinctive about abduction to warrant calling it a new kind of argument. But since one finds in his writings on abduction a number of different views (...) it is first necessary to make a few remarks concerning the unity of Peirce's thought. (shrink)

This monograph attempts to clarify one significant but much neglected aspect of Peirce's contribution to the philosophy of science. It was written in 1963 as my M. A. thesis at the Uni versity of Illinois. Since the topic is still neglected it is hoped that its pUblication will be of use to Peirce scholars. I should like to acknowledge my indebtedness to Dr. Max Fisch who broached this topic to me and who advised me con tinuously through its development, assisting (...) generously with his own insights and unpublished Peirce manuscripts. TABLE OF CONTENTS INTRODUCTION 1. A Current Issue in the Philosophy of Science 1 2. Peirce and His Theory of Abduction 5 3. The General Character of Abduction 7 PART I: THE EARLY THEORY 1. Peirce's Earliest Conception of Inference 11 2. Three Kinds of Inference and Three Figures of Syllogism 13 3. Ampliative Inference and Cognition 17 4. Induction and Hypothesis 20 5. The Method of Methods 23 PART II: THE LATER THEORY 1. The Transitional Period 28 2. Three Stages of Inquiry 31 3. Abduction and Guessing Instinct 35 4. Logic as a Normative Science 38 5. Hypothesis Construction and Selection 41 6. Abduction and Pragmatism 44 7. Economy of Research 47 8. Justification of Abduction 51 CONCLUSION 55 61 BIBLIOGRAPHY INTRODUCTION 1. (shrink)

In all disciplines there are specifiable basic concepts, our universes of discourse, which define special areas of inquiry. Semiotics is that 'science of sciences' which inquires into all processes of inquiry, and which seeks to discover methods of inquiry. Peirce held that semiotics was to be the method of methods. An account of semiotic method should distinguish between the way the term 'sign' is used in semiotics and the various ways this term was meant in nearly all the traditional disciplines. (...) In this monograph Roberta Kevelson minutely explores Charles S. Peirce's method of methods. (shrink)

Charles S. Peirce, William James, Josiah Royce, George Santayana, John Dewey, and George Herbert Mead: each of these individuals is an original and historically important thinker; each is an essential contributor to the period, perspective, and tradition of classical American philosophy; and each speaks directly, imaginatively, critically, and wisely to our contemporary global society, its distant possibilities for improvement, and its massive, pressing problems. From the initiative of pragmatism in approximately 1870 to Dewey's final work after World War II, classical (...) American philosophy has come to represent the critical articulation of attitudes, outlooks, and forms of life imbedded in the culture from which it arose. John Stuhr brings together the works of these foremost thinkers to present a comprehensive collection in American philosophy. Extensive introductory essays, written especially for this volume by leading scholars of the subject, provide not only the bibliographical and cultural contexts necessary to a full appreciation of each thinker, but also original critical and interpretive philosophical observations. (shrink)

Chapter INTRODUCTION Charles Sanders Peirce is quickly becoming the dominant figure in the history of American philosophy. The breadth and depth of his work ...