This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles. Coverage begins with a thorough introduction to formalization and to the advantages and pitfalls of formal methods in philosophy. The ensuing chapters show how to use formal methods in a wide range of areas. Throughout, the contributors clarify the relationships and interdependencies between formal and informal notions and constructions. Their main focus is to show how formal treatments of philosophical problems may help us understand them better. Formal methods can be used to solve problems but also to express new philosophical problems that would never have seen the light of day without the expressive power of the formal apparatus. ​Formal philosophy merges work in different areas of philosophy as well as logic, mathematics, computer science, linguistics, physics, psychology, biology, economics, political theory, and sociology. This title offers an accessible introduction to this new interdisciplinary research area to a wide academic audience.

This book features mathematical and formal philosophers’ efforts to understand philosophical questions using mathematical techniques. It offers a collection of works from leading researchers in the area, who discuss some of the most fascinating ways formal methods are now being applied. It covers topics such as: the uses of probable and statistical reasoning, rational choice theory, reasoning in the environmental sciences, reasoning about laws and changes of rules, and reasoning about collective decision procedures as well as about action. Utilizing mathematical techniques has been very fruitful in the traditional domains of formal philosophy – logic, philosophy of mathematics and metaphysics – while formal philosophy is simultaneously branching out into other areas in philosophy and the social sciences. These areas particularly include ethics, political science, and the methodology of the natural and social sciences. Reasoning about legal rules, collective decision-making procedures, and rational choices are of interest to all those engaged in legal theory, political science and economics. Statistical reasoning is also of interest to political scientists and economists.

This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

The theory of value structure concerns the meaning of “better than” and “good,” as well as the way in which values serve as a basis for rational decision making. Drawing methodologically from economics and theories of decision making, the aim of serious axiology in metaethics is to do justice to problems that have puzzled philosophers of value for centuries. Can value comparisons be cyclic? Are all values comparable with each other and can decision makers just add up different aspects of an evaluation to determine the best course of action? A Theory of Value Structure: From Values to Decisions starts with a thorough introduction to the modeling of “better than” comparisons from a normative perspective. In the philosophical part of the book, Erich H. Rast argues that aspects of “better than” comparisons can differ qualitatively so much that one aspect may outrank another. Consequently, the classical weighted sum aggregation model fails. Values cannot always be summed up and comparisons may be fundamentally noncompensatory, an indeterminacy that explains problems like the apparent nontransitivity of “better than” and hard cases in decision making. Using a lexicographic method of value comparisons, Rast develops a multidimensional theory of “better than” and shows how and to which extent it can be combined with standard methods of decision making under uncertainty by using rank-dependent utility theory.

Logic has attained in our century a development incomparably greater than in any past age of its long history, and this has led to such an enrichment and proliferation of its aspects, that the problem of some kind of unified recom prehension of this discipline seems nowadays unavoidable. This splitting into several subdomains is the natural consequence of the fact that Logic has intended to adopt in our century the status of a science. This always implies that the general optics, under which a certain set of problems used to be con sidered, breaks into a lot of specialized sectors of inquiry, each of them being characterized by the introduction of specific viewpoints and of technical tools of its own. The first impression, that often accompanies the creation of one of such specialized branches in a diSCipline, is that one has succeeded in isolating the 'scientific core' of it, by restricting the somehow vague and redundant generality of its original 'philosophical' configuration. But, after a while, it appears that some of the discarded aspects are indeed important and a new specialized domain of investigation is created to explore them. By follOwing this procedure, one finally finds himself confronted with such a variety of independent fields of research, that one wonders whether the fact of labelling them under a common denomination be nothing but the contingent effect of a pure historical tradition.

Philosophical questions surrounding skill and expertise can be traced back as far as Ancient Greece, China, and India. In the twentieth century, skilled action was an important factor in the work of phenomenologists such as Heidegger and Merleau-Ponty and analytic philosophers including Gilbert Ryle. However, as a subject in its own right it has, until now, remained largely in the background. The Routledge Handbook of Philosophy of Skill and Expertise is an outstanding reference source and the first major collection of its kind, reflecting the explosion of interest in the topic in recent years. Comprising thirty-nine chapters written by leading international contributors, the Handbook is organized into six clear parts: • Skill in the history of philosophy (East and West) • Skill in epistemology • Skill, intelligence, and agency • Skill in perception, imagination, and emotion • Skill, language, and social cognition • Skill and expertise in normative philosophy. Essential reading for students and researchers in philosophy of mind and psychology, epistemology, and ethics, The Routledge Handbook of Philosophy of Skill and Expertise is also suitable for those in related disciplines such as social psychology and cognitive science. It is also relevant to those who are interested in conceptual issues underlying skill and expertise in fields such as sport, the performing arts, and medicine.

This volume expounds the influence of Robert Burns’s reading of Philosophy on his life and work, supplementing this with his personal encounters with those philosophers he met. The work begins with the Homespun Philosophy of his early years under the tutelage of William Burnes and John Murdoch, then examines in detail some of the texts of John Locke, Adam Smith and Francis Hutcheson, including other writers who reflect Hutcheson’s thinking. Further chapters include the exploration on Thomas Reid, Dugald Stewart, Archibald Alison and William Greenfield. Robert Burns and the Philosophers does not purport to be a work of philosophy but rather to show the poet’s reaction to the subject and the development of his understanding. This work opens up a subject that hitherto has been almost unexplored.

The two volumes of Philosophical Essays bring together the most important essays written by one of the world's foremost philosophers of language. Scott Soames has selected thirty-one essays spanning nearly three decades of thinking about linguistic meaning and the philosophical significance of language. A judicious collection of old and new, these volumes include sixteen essays published in the 1980s and 1990s, nine published since 2000, and six new essays. The essays in Volume 1 investigate what linguistic meaning is; how the meaning of a sentence is related to the use we make of it; what we should expect from empirical theories of the meaning of the languages we speak; and how a sound theoretical grasp of the intricate relationship between meaning and use can improve the interpretation of legal texts. The essays in Volume 2 illustrate the significance of linguistic concerns for a broad range of philosophical topics--including the relationship between language and thought; the objects of belief, assertion, and other propositional attitudes; the distinction between metaphysical and epistemic possibility; the nature of necessity, actuality, and possible worlds; the necessary a posteriori and the contingent a priori; truth, vagueness, and partial definition; and skepticism about meaning and mind. The two volumes of Philosophical Essays are essential for anyone working on the philosophy of language.

The Routledge Handbook of Pragmatics provides a state-of-the-art overview of the wide breadth of research in pragmatics. An introductory section outlines a brief history, the main issues and key approaches and perspectives in the field, followed by a thought-provoking introductory chapter on interdisciplinarity by Jacob L. Mey. A further thirty-eight chapters cover both traditional and newer areas of pragmatic research, divided into four sections: Methods and modalities Established fields Pragmatics across disciplines Applications of pragmatic research in today’s world. With accessible, refreshing descriptions and discussions, and with a look towards future directions, this Handbook is an essential resource for advanced undergraduates, postgraduates and researchers in pragmatics within English language and linguistics and communication studies.