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This monograph is a defence of the Fregean take on logic. The author argues that Frege¿s projects, in logic and philosophy of language, are essentially connected and that the formalist shift produced by the work of Peano, Boole and Schroeder and continued by Hilbert and Tarski is completely alien to Frege's approach in the Begriffsschrift. A central thesis of the book is that judgeable contents, i.e. propositions, are the primary bearers of logical properties, which makes logic embedded in our conceptual system. This approach allows coherent and correct definitions of logical constants, logical consequence, and truth and connects their use to the practices of rational agents in science and everyday life.

This book offers a comprehensive interpretation of Sextus Empiricus based on his own view of what he calls the distinctive character of skepticism. It focuses on basic topics highlighted by this ancient philosopher concerning Pyrrhonism, a kind of skepticism named for Pyrrho: its concept, its principles, its reason, its criteria, its goals. In the first part, the author traces distinct phases in the life and philosophical development of a talented person, from the pre-philosophical phase where philosophy was perceived as the solution to life's disturbing anomalies, through his initial philosophical investigation in order to find truth where the basic experience is that of a huge disagreement between philosophers, to the final phase where he finally recognises that his experience is similar to that of the skeptical school and adheres to skepticism. The second part is devoted to explain the nature of his skepticism. It presents an original interpretation, for it claims that the central role in Sextus¿ Neo-Pyrrhonism is played by a skeptical logos, a rationale or way of reasoning. This is what unifies and articulates the skeptical orientation. The skeptic goes on investigating truth, but in a new condition, for he is now tranquil, and he has a skeptical method of his own. He has also acquired a special ability in order to balance both sides of an opposition, which involves a number of different skills. Finally, the author examines the skeptical life generated by this philosophical experience where he lives a life without opinions and dogmas; it is an engaged life, deeply concerned with our everyday actions and values. Readers will gain a deeper insight into the philosophy of Pyrrhonism as presented by Sextus Empiricus, as well as understand the meaning of anomalía, zétesis, epokhé, ataraxía, and other important ideas of this philosophy.

This book focuses on the problem of responsibility voids: these are cases where responsibility for a morally undesirable outcome cannot be attributed to any of the involved agents. Responsibility voids are thought to occur in collective decision-making and in the context of artificial intelligent systems. In these cases, philosophers worry that there is a shortfall of moral responsibility. In particular, such voids are often assumed to justify a notion of collective responsibility that cannot be reduced to individual responsibility. One of the aims of the book is to study how collective responsibility and joint action relate to individual responsibility and individual actions. The book offers a unifying framework for modelling moral responsibility by drawing from modal logic and game theory.The book investigates the possibility and scope of the problem of responsibility voids. One of its characteristics is its pluralistic perspective on moral responsibility: in contrast to giving a unique and all-encompassing definition of it, the book makes progress by spelling out and modelling several conceptions of moral responsibility. One of the appealing features of the book is that a relatively small range of models is used to investigate a variety of conceptions of moral responsibility. The unifying framework can thus be used to characterize the conditions under which responsibility voids are ruled out.

This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel¿s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem provingby the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.

This monograph reevaluates a school of thought concerned with truth and inquiry. It examines the critique which asserts that it's not possible to live this Early Greek philosophy in practice. The investigation also details new discoveries on the reception of Skepticism by Empiricist Doctors, Early Greek Fathers, Medieval Arabic Thinkers, and Renaissance Thinkers.The author takes a careful look at the apraxia argument and how critics used it. He shows how anti-skeptical arguments rose in different stages of the development of the Skepticism. Coverage also details how the skeptics replied and gave more pragmatic coherence to their philosophy, starting with the proto-skeptics and continuing with the works of Sextus Empiricus. Readers will learn how skepticism endured despite the criticisms, becoming a coherent response to dogmatic philosophies such as Stoicism.The investigation also analyzes the two common approaches that philosophers have used to interpret Sextan philosophy. It considers their benefits as well as defects. In the process, the author presents an original way of interpreting Sextan thought, which the author calls the ¿suburban interpretation¿. He then applies this "middle way" to two works: Against the Grammarians and Against the Rhetoricians. Overall, the book provides readers with an insightful look at how this school of thought survived and spread throughout the ages.

This book provides an original perspective on the debate about anti-representationalism and the nature of philosophy. This debate has come to prominence in recent years through the work of people like Richard Rorty, Paul Horwich, Huw Price and Amie Thomasson. It is the first book to explicitly consider this well-known pragmatist kind of anti-representationalism in relation to anti-representationalist views in other areas of philosophy, in particular the philosophy of perception and cognitive science. Taking as its point of departure the neo-pragmatism of Rorty and Price, it critiques the way these (and other) thinkers develop, on this basis, a positive view of philosophy and its remit. By examining the debate about representationalism versus anti-representationalism in perception and cognitive science it provides a different way of understanding the significance of neo-pragmatism, as well as providing an independently interesting perspective on these other debates. A central idea in this perspective involves distinguishing between a world-for-us and a world-in-itself, though in a different way from Kant and many other philosophers. The book extends these reflections to examine questions about realism and the limits of metaphysics for anti-representationalist pragmatism, arguing the view can uphold a common sense kind of realism, as well as the value of distinctively philosophical enquiry in metaphysics.

This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it.The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.

This volume aims to clarify the epistemic potential of applying evolutionary thinking outside biology, and provides a survey of the current state of the art in research on relevant topics in the life sciences, the philosophy of science, and the various areas of evolutionary research outside the life sciences. By bringing together chapters by evolutionary biologists, systematic biologists, philosophers of biology, philosophers of social science, complex systems modelers, psychologists, anthropologists, economists, linguists, historians, and educators, the volume examines evolutionary thinking within and outside the life sciences from a multidisciplinary perspective. While the chapters written by biologists and philosophers of science address theoretical aspects of the guiding questions and aims of the volume, the chapters written by researchers from the other areas approach them from the perspective of applying evolutionary thinking to non-biological phenomena. Taken together, the chapters in this volume do not only show how evolutionary thinking can be fruitfully applied in various areas of investigation, but also highlight numerous open problems, unanswered questions, and issues on which more clarity is needed. As such, the volume can serve as a starting point for future research on the application of evolutionary thinking across disciplines.