GENERALIZED RECUBION THEORY II © North-Holland Publishing Company (1978) MONOTONE QUANTIFIERS AND ADMISSIBLE SETS Ion Barwise University of Wisconsin ...

This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is (...) mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society. (shrink)

The article attempts to show some limitations to reductive accounts in science and philosophy of body-mind relations, experience and skill. Extensive literature has developed in analytic philosophy of mind recently due to new technology and theories in the neurosciences. In the sporting sciences, there are also attempts to reduce experiences and skills to biology, mechanics, chemistry and physiology. The article argues there are three fundamental problems for reductive accounts that lead to an explanatory gap between the reduction and the conscious (...) experience. First, reductive accounts deal with objective observations; conscious experiences are subjective. Second, subjective experience seems difficult to identify with physical events described by chemistry, biology, mechanics or neurophysiology. Finally, sport involves knowing how and knowing how is also difficult to reduce to propositional knowledge, which is the reductive scientific/philosophical project. The article argues that sport provides an excellent platform to better understand what is wrong with reductive analysis in body-mind relations, since both conscious experience and knowing how are fundamental to sport performance. (shrink)

The article deals with the following: Three brain imaging studies on athletes are evaluated. What do these neuroscientific studies tell us about the brain and mind of the athlete? Empirical investigations will need a neuro-theory of mind if they are to make the leap from neural activity to the mental. The article looks at such a theory, Gerald Edelman's?Neural Darwinism?. What are the implications of such a theory for sport science and philosophy of sport? The article appreciates some of the (...) neurosciences applications, but questions the hope of giving a complete theory of mind. (shrink)

IntroductionIf we were to identify the beginning of the study of visual argumentation, we would have to choose 1996 as the starting point. This was the year that Leo Groarke published “Logic, art and argument” in Informal logic, and it was the year that he and David Birdsell co-edited a special double issue of Argumentation and Advocacy on visual argumentation . Among other papers, the issue included Anthony Blair’s “The possibility and actuality of visual arguments”. It was also the year (...) that Gail J. Chryslee, Sonja K. Foss and Arthur L. Ranney published their short text on “The construction of claims in visual argumentation” , stating that even though theorists may know a great deal about the process of argumentation, “virtually none of this knowledge is applicable to visual argumentation […] because of the properties that distinguish visual imagery from discursive symbols” .Texts on visual rhetoric have been written as far back as the early 1980s, .. (shrink)

Some forms of argumentation are best performed through words. However, there are also some forms of argumentation that may be best presented visually. Thus, this paper examines the virtues of visual argumentation. What makes visual argumentation distinct from verbal argumentation? What aspects of visual argumentation may be considered especially beneficial?

The use of digital presentation tools such as PowerPoint is ubiquitous; however we still do not know much about the persuasiveness of these programs. Examining the use of visual analogy and visual chronology, in particular, this article explores the use of visual argumentation in a Keynote presentation by Al Gore. It illustrates how images function as an integrated part of Gores reasoning.

During his long and continuing scholarly career, Patrick Suppes contributed significantly both to the sciences and to their philosophies. The volume consists of papers by an international group of Suppes colleagues, collaborators, and students in many of the areas of his expertise, building on or adding to his insights. Michael Friedman offers an overview of Suppes accomplishments and of his unique perspective on the relation between science and philosophy. Paul Humphreys, Stephen Hartmann, and Tom Ryckman present essays in the philosophy (...) of physics. Jens-Erik Fenstad, Harvey Friedman, and Jaako Hintikka consider problems in the foundations of mathematics, while the late Duncan Luce, Jean-Claude Falmagne, Brian Skyrms, and Hannes Leitgeb have contributed essays in theory of measurement, decision theory and probability. Foundations of economics and political theory are addressed by Adolfo Garcia de la Sienra, Russell Hardin, and Kenneth Arrow. Psychology, language, and philosophy of language are addressed by Elizabeth Loftus, Anne Fagot-Largeault, Willem Levelt, Dagfinn Follesdal, and Marcos Perreau-Guimares and some of Suppes most recent research in neurobiology is addressed in essays by Colleen Crangle, Acadio de Barros and Claudio Carvalhes. Finally Nancy Cartwright and Alexandre Marcelles consider the alignment (or misalignment) of method and policy. Each of the essays is accompanied by a response from Suppes.". (shrink)

Provability, Computability and Reflection.

The first part of the paper traces the history of the relationship between logic and linguistics with particular emphasis on the contributions of Tarski and Ajdukiewicz. In the second part we give a brief review of current work on formal semantics for natural language systems and argue for the need for a richer geometric structure on the semantic model space.

Sociology of Faith Werner Stark: The Sociology of Knowledge. The International Library of Sociology and Social Reconstruction, Routledge and Kegan Paul, London, 1958. 36s. net. 356 pp. Carnap Introduces Symbolic Logic Rudolph Carnap: Introduction to Symbolic Logic and its Applications, Dover Publication, New York 1958, $1.85, 241 pp.

Provability, Computability and Reflection.

The volume contains 37 invited papers presented at the Congress, covering the areas of Logic, Mathematics, Physical Sciences, Biological Sciences and the ...

This essay will be divided into three parts. In the first part, we discuss the case of infintesimals seen as a bridge between the discrete and the continuous. This leads in the second part to a discussion of the nature of numbers. In the last part, we follow up with some observations on the obvious applicability of mathematics.

This paper argues in favor of a hybrid conception of identity. A common conception of identity in datafied society is a split between a digital self and a real self, which has resulted in concepts such as the data double, algorithmic identity, and data shadows. These data-identity metaphors have played a significant role in the conception of informational privacy as control over information—the control of or restricted access to your digital identity. Through analyses of various data-identity metaphors as well as (...) philosophical accounts of identity, we argue in favor of a hybrid conception of identity that emphasizes the relations between the ‘real’ and the ‘digital’. A hybrid conception of identity—where the digital is an aspect on par with social relations, self-understanding, and values—ultimately calls for an understanding of privacy as the right to influence one’s own identity. (shrink)