This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It...
This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathemati...
This profound exploration of one of the core notions of philosophy the concept of existence itself reviews, then counters (via Meinongian theory), the mainstream philosophical view running from Hume to Frege, Russell, and Quine, summarized thus by Kant: Existence is not a predicate. The initial section of the book presents a comprehensive introduction to, and critical evaluation of, this mainstream view. The author moves on to provide the first systematic survey of all the main Meinongian theories of existence, which, by contrast, reckon existence to be a real, full-fledged property of...
This profound exploration of one of the core notions of philosophy the concept of existence itself reviews, then counters (via Meinongian theory), ...
Is critical argumentation an effective way to overcome disagreement? And does the exchange of arguments bring opponents in a controversy closer to the truth? This study provides a new perspective on these pivotal questions. By means of multi-agent simulations, it investigates the truth and consensus-conduciveness of controversial debates. The book brings together research in formal epistemology and argumentation theory.Aside fromits consequences for discursive practice, the work may have important implications for philosophy of science and the way we construe scientific rationality as well."
Is critical argumentation an effective way to overcome disagreement? And does the exchange of arguments bring opponents in a controversy closer to the...
This volume handles in various perspectives the concept of function and the nature of functional explanations, topics much discussed since two major and conflicting accounts have been raised by Larry Wright and Robert Cummins' papers in the 1970s. Here, both Wright's 'etiological theory of functions' and Cummins' 'systemic' conception of functions are refined and elaborated in the light of current scientific practice, with papers showing how the 'etiological' theory faces several objections and may in reply be revisited, while its counterpart became ever more sophisticated, as researchers...
This volume handles in various perspectives the concept of function and the nature of functional explanations, topics much discussed since two majo...
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia.
The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details...
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discuss...
This book is concerned with two intimately related topics of metaphysics: the identity of entities and the foundations of classification. What it adds to previous discussions of these topics is that it addresses them with respect to human-made entities, that is, artefacts. As the chapters in the book show, questions of identity and classification require other treatments and lead to other answers for artefacts than for natural entities. These answers are of interest to philosophers not only for their clarification of artefacts as a category of things but also for the new light they may...
This book is concerned with two intimately related topics of metaphysics: the identity of entities and the foundations of classification. What it a...
The main purpose of the present volume is to advance our understanding of the notions of knowledge and context, the connections between them and the ways in which they can be modeled, in particular formalized - a question of prime importance and utmost relevance to such diverse disciplines as philosophy, linguistics, computer science and artificial intelligence and cognitive science.
Bringing together essays written by world-leading experts and emerging researchers in epistemology, logic, philosophy of language, linguistics and theoretical computer science, the book examines the...
The main purpose of the present volume is to advance our understanding of the notions of knowledge and context, the connections between them and th...
This book presents four bridges connecting work in virtue epistemology and work in philosophy of science (broadly construed) that may serve as catalysts for the further development of naturalized virtue epistemology. These bridges are: empirically informed theories of epistemic virtue; virtue theoretic solutions to under determination; epistemic virtues in the history of science; and the value of understanding.
Virtue epistemology has opened many new areas of inquiry in contemporary epistemology including: epistemic agency, the role of motivations and emotions in epistemology, the...
This book presents four bridges connecting work in virtue epistemology and work in philosophy of science (broadly construed) that may serve as cata...
This collection of papers investigates the most recent debates about individualism and holism in the philosophy of social science. The debates revolve mainly around two issues: firstly, whether social phenomena exist sui generis and how they relate to individuals. This is the focus of discussions between ontological individualists and ontological holists. Secondly, to what extent social scientific explanations may and should, focus on individuals and social phenomena respectively. This issue is debated amongst methodological holists and methodological individualists.
In social...
This collection of papers investigates the most recent debates about individualism and holism in the philosophy of social science. The debates revo...
This volume is the first systematic and thorough attempt to investigate the relation and the possible applications of mereology to contemporary science. It gathers contributions from leading scholars in the field and covers a wide range of scientific theories and practices such as physics, mathematics, chemistry, biology, computer science and engineering. Throughout the volume, a variety of foundational issues are investigated both from the formal and the empirical point of view.
The first section looks at the topic as it applies to physics. The section addresses questions of...
This volume is the first systematic and thorough attempt to investigate the relation and the possible applications of mereology to contemporary sci...