We all engage in the process of reasoning, but we don't always pay attention to whether we are doing it well. This book offers the opportunity to practise reasoning in a clear-headed and critical way, with the aims of developing an awareness of the importance of reasoning well and of improving the reader's skill in analyzing and evaluating arguments. In this third edition, Anne Thomson has updated and revised the book to include fresh and topical examples which will guide students through the processes of critical reasoning in a clear and engaging way. In addition, two new chapters on evaluating the credibility of evidence and decision making and dilemmas will fully equip students to reason well. By the end of the book students should be able to: identify flaws in arguments analyze the reasoning in newspaper articles, books and speeches assess the credibilty of evidence and authorities make sound decisions and solve dilemmas approach any topic with the ability to reason and think critically.

The philosophical thought of Ludwig Wittgenstein continues to have a profound influence that transcends barriers between philosophical disciplines and reaches beyond philosophy itself. Less than one hundred years after their publication, his early masterpiece 'Tractatus Logico-Philosophicus' and the posthumously published 'Philosophical Investigations' have emerged as two classic philosophical texts, each of which has elicited widely divergent readings and spawned contesting schools of interpretation. This collection of original essays by leading experts offers deep insights into the forces that shaped and influenced Wittgenstein's thought on a broad variety of topics. It also contains the text - in both the original German and an English translation by Juliet Floyd and Burton Dreben - of letters and cards sent to Wittgenstein by the philosopher and logician Gottlob Frege, which shed light on their interaction during the crucial period when Wittgenstein completed work on the 'Tractatus'. This important record of a philosophical friendship is complemented by a scholarly apparatus and an introduction. Other essays featured in this volume document and discuss Wittgenstein's thinking on music and religion as well as issues that take center stage in the 'Investigations' such as Wittgenstein's account of rule-following. The volume provides an invaluable research tool not only for students of the history of philosophy and for scholars of both Wittgenstein and Frege but also for anyone interested in the intellectual history of the first half of the twentieth century.

This monograph is a defence of the Fregean take on logic. The author argues that Freges 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 presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that "crossbreeds" topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between the categories of closure algebras and of hybrids, and a duality between the categories of Heyting algebras and of so-called strict hybrids. Esakia's book was originally published in 1985. It was the first of a planned two-volume monograph on Heyting algebras. But after the collapse of the Soviet Union, the publishing house closed and the project died with it. Fortunately, this important work now lives on in this accessible translation. The Appendix of the book discusses the planned contents of the lost second volume.

This book analyses and defends the deflationist claim that there is nothing deep about our notion of truth. According to this view, truth is a 'light' and innocent concept, devoid of any essence which could be revealed by scientific inquiry. Cezary Cieslinski considers this claim in light of recent formal results on axiomatic truth theories, which are crucial for understanding and evaluating the philosophical thesis of the innocence of truth. Providing an up-to-date discussion and original perspectives on this central and controversial issue, his book will be important for those with a background in logic who are interested in formal truth theories and in current philosophical debates about the deflationary conception of truth.

Kawalec's monograph is a novel defence of the programme of inductive logic, developed initially by Rudolf Carnap in the 1950s and Jaakko Hintikka in the 1960s. It revives inductive logic by bringing out the underlying epistemology. The main strength of the work is its link between inductive logic and contemporary discussions of epistemology. Through this perspective the author succeeds to shed new light on the significance of inductive logic. The resulting structural reliabilist theory propounds the view that justification supervenes on syntactic and semantic properties of sentences as justification-bearers. The claim is made that this sets up a genuine alternative to the prevailing theories of justification. Kawalec substantiates this claim by confronting structural reliabilism with a number of epistemological problems. Therefore, the book is interesting for philosophers of science dealing with problems of induction, but it will also appeal to readers working in the theory of knowledge. Kawalec writes in a clear manner, makes his theses and arguments explicit, and gives ample bibliographical references. The book will be a valuable companion to graduate and postgraduate courses on inductive logic.

This book presents a mechanist philosophy of mind. I hold that the human mind is a system of computational or recursive rules that are embodied in the nervous system; that the material presence of these rules accounts for perception, conception, speech, belief, desire, intentional acts, and other forms of intelligence. In this edition I have retained the whole of the fIrst edition except for discussion of issues which no longer are relevant in philosophy of mind and cognitive psychology. Earlier reference to disputes of the 1960's and 70's between hard-line empiricists and neorationalists over the psychological status of grammars and language acquisition, for instance, has simply been dropped. In place of such material I have entered some timely or new topics and a few changes. There are brief references to the question of computer versus distributed processing (connectionist) theories. Many of these questions dissolve if one distinguishes as I now do in Chapter II between free and embodied algorithms. I have also added to my comments on artifIcal in telligence some reflections. on Searle's Chinese Translator. The irreducibility of machine functionalist psychology in my version or any other has been exaggerated. Input, output, and state entities are token identical to physical or biological things of some sort, while a machine system as a collection of recursive rules is type identical to representatives of equivalence classes. This nuld technicality emerges in Chapter XI. It entails that so-called "anomalous monism" is right in one sense and wrong in another."

As philosophy departments attempt to define their unique value amid program closures in the humanities and the rise of interdisciplinary research, metaphilosophy has become an increasingly important area of inquiry. Richard Fumerton here lays out a cogent answer to the question asked in the book's title, What is Philosophy?. Against those who argue that philosophy is not sharply distinguishable from the sciences, Fumerton makes a case for philosophy as an autonomous discipline with its own distinct methodology. Over the course of nine engaging and accessible chapters, he shows that answering fundamental philosophical questions requires one to take a radical first-person perspective that divorces the truth conditions of philosophical claims from the kind of contingent truths investigated by the empirical sciences. Along the way, Fumerton briefly discusses the historical controversies that have surrounded the nature of philosophy, situating his own argument within the larger conversation. Key Features Illuminates the unique role of thought experiments and especially the "paradox of analysis" in understanding the purpose and value of philosophy. Shows that philosophy asks fundamental questions, unanswerable by the sciences, that are critical to thinking clearly and rationally about the world. Highlights the distinct character of philosophical questions in specific subject areas: philosophy of language, epistemology, ethics, philosophy of mind, and philosophy of science. Concludes by making a unique case for philosophy's contribution to cross-disciplinary work in ethics, politics, mathematics, and the empirical sciences. Written in a way to be engaging and accessible for advanced undergraduate readers.

As philosophy departments attempt to define their unique value amid program closures in the humanities and the rise of interdisciplinary research, metaphilosophy has become an increasingly important area of inquiry. Richard Fumerton here lays out a cogent answer to the question asked in the book's title, What is Philosophy?. Against those who argue that philosophy is not sharply distinguishable from the sciences, Fumerton makes a case for philosophy as an autonomous discipline with its own distinct methodology. Over the course of nine engaging and accessible chapters, he shows that answering fundamental philosophical questions requires one to take a radical first-person perspective that divorces the truth conditions of philosophical claims from the kind of contingent truths investigated by the empirical sciences. Along the way, Fumerton briefly discusses the historical controversies that have surrounded the nature of philosophy, situating his own argument within the larger conversation. Key Features Illuminates the unique role of thought experiments and especially the "paradox of analysis" in understanding the purpose and value of philosophy. Shows that philosophy asks fundamental questions, unanswerable by the sciences, that are critical to thinking clearly and rationally about the world. Highlights the distinct character of philosophical questions in specific subject areas: philosophy of language, epistemology, ethics, philosophy of mind, and philosophy of science. Concludes by making a unique case for philosophy's contribution to cross-disciplinary work in ethics, politics, mathematics, and the empirical sciences. Written in a way to be engaging and accessible for advanced undergraduate readers.

The book sets out a new logic of rules, developed to demonstrate how such a logic can contribute to the clarification of historical questions about social rules. The authors illustrate applications of this new logic in their extensive treatments of a variety of accounts of social changes, analysing in these examples the content of particular social rules and the course of changes in them.

Ever struggled to write a critical essay? Ever wondered what critical thinking actually is and how you can apply it in your academic work and practice?This bestselling guide takes you through every stage of becoming a critical thinker, from approaching your subject to writing your essays or dissertation in health and social care. Each chapter tackles a different aspect of critical thinking and shows you how it's done using examples and simple language. Beginning with an overview of the importance of critical thinking, the book goes on to cover: How to think critically about different types of information as potential evidence, including books, journals, articles, websites, and, new to this edition, social mediaHow to demonstrate critical thinking in written work and presentations How to adopt critical thinking in practice Updated with more references to online resources and critical appraisal tools, this fully revised second edition includes: The key tool 'Six questions for critical thinking' which will assist you in developing your skills for academic work and practice - updated for this edition in response to student evaluation An expanded worked example of critical analysis New exploration of the connection between theory and practice This book is an essential purchase for students and qualified healthcare staff alike and was highly commended in the BMA Medical Book Awards 2012."This is an amazing book that I recommend to all levels of students as there is something in it for all. It is written in an easy to understand and friendly style that is accessible to anyone has an interest in critical thinking whether they are studying or not. It puts a different perspective on one's thinking and has even turned it on its head for some students. I love this book and the sound of the penny dropping for my learners!" Liz Rockingham, Adult Field Lead / Teaching Fellow, University of Surrey, UK"In my estimation this is the definitive beginner's guide to critical thinking and writing in health and social care. After reading this book any student should understand why and how critical thinking underpins professional practice and the highest endeavours in academic work and research. Within the book are three invaluable checklists: 1) 'Six questions for critical thinking',2) 'Critical thinking skills in your written work' and 3) 'Critical thinking, or relying on routine'. A wonderful book for both Undergraduate and Masters' students and a must for hard-pressed academics who wish to encourage and endorse the need for critical thinking at all levels in all of their students". Dr Ruth Davies, Associate Professor Child and Family Health, Swansea University, UK"I did not intend to read this book cover to cover but it was such a pleasure I did. The book by Aveyard, Sharp and Woolliams achieves exactly what it sets out to do and is a comprehensive and highly readable guide. In this little gem the mysteries of critical thinking and writing are unpacked. Useful tools, resources, activities and worked examples are included and the reader is guided to develop their own skills. From the initial challenge to explore their personal values, beliefs and assumptions, through to how to adopt critical thinking in practice, the reader is left in no doubt as to the valuable contribution this book will make to developing their skills of critical thinking and writing for professional practice." Ailsa Espie, Senior Lecturer, Division of Nursing, Queen Margaret University, UK "Health and social care professionals navigate through extensive quantities of information in the course of their work. The ability to think clearly and critically is fundamental for appraising and implementing evidence and knowledge in practice. This book is an excellent place to start learning these vital skills and I recommend it to my students and to you." Dr Martin Webber, Anniversary Reader in Social Work, University of York, UK"I would recommend this book to any health care student, not just nurses, that require help in starting out how to write critically in essays, presentations, literature reviews and dissertations." Jade Day, Student Nurse at Anglia Ruskin University, UK

This volume collects selected papers presented at the Second Chinese Conference on Logic and Argumentation in 2018 held in Hangzhou, China. The papers presented reflect recent advances in logic and argumentation, as well as the connections between the two, and also include invited papers contributed by leading experts in these fields. The book covers a wide variety of topics related to dynamics, uncertainty and reasoning. It continues discussions on the interplay between logic and argumentation which has a long history from Aristotle's ancient logic to very recent formal argumentation in AI.

How does Russell's realist conception of the proposition and its constituents inform the techniques for analysis which he adopted in mathematics? Jolen Galaugher's book sheds light on this perplexing issue. In this book, Galaugher provides a detailed treatment of Russell's early conception of analysis in the light of the philosophical doctrines to which it answered, and the demands imposed by existing mathematics on his early logicist program. She ties together the philosophical commitments which occasioned Russell's break with idealism and the problems which guided his selection of technical apparatus in his embrace of logicism. The result is a detailed synthesis of the primary materials from the emergence of Russell's realism in 1898 to his landmark theory of descriptions in 1905. Galaugher's broad thesis is that although Russell adopted increasingly refined techniques by which to carry out his logical analyses and avoid the Contradiction, the most crucial aspects of his philosophical conception of logical analysis were retained.

This book collects original essays on the epistemology of modality and related issues in modal metaphysics and philosophical methodology.

What do philosophy and computer science have in common? It turns out, quite a lot! In providing an introduction to computer science (using Python), Daniel Lim presents in this book key philosophical issues, ranging from external world skepticism to the existence of God to the problem of induction. These issues, and others, are introduced through the use of critical computational concepts, ranging from image manipulation to recursive programming to elementary machine learning techniques. In illuminating some of the overlapping conceptual spaces of computer science and philosophy, Lim teaches the reader fundamental programming skills and also allows her to develop the critical thinking skills essential for examining some of the enduring questions of philosophy. Key Features Teaches readers actual computer programming, not merely ideas about computers Includes fun programming projects (like digital image manipulation and Game of Life simulation), allowing the reader to develop the ability to write larger computer programs that require decomposition, abstraction, and algorithmic thinking Uses computational concepts to introduce, clarify, and develop a variety of philosophical issues Covers various aspects of machine learning and relates them to philosophical issues involving science and induction as well as to ethical issues Provides a framework to critically analyze arguments in classic and contemporary philosophical debates

Real Essentialism presents a comprehensive defence of neo-Aristotelian essentialism. Do objects have essences? Must they be the kinds of things they are in spite of the changes they undergo? Can we know what things are really like - can we define and classify reality? Many, if not most, philosophers doubt this, influenced by centuries of empiricism, and by the anti-essentialism of Wittgenstein, Quine, Popper, and other thinkers. Real Essentialism reinvigorates the tradition of realist, essentialist metaphysics, defending the reality and knowability of essence, the possibility of objective, immutable definition, and its relevance to contemporary scientific and metaphysical issues such as whether essence transcends physics and chemistry, the essence of life, the nature of biological species, and the nature of the person.

This book argues that languages are composed of sets of 'signs', rather than 'strings'. This notion, first posited by de Saussure in the early 20th century, has for decades been neglected by linguists, particularly following Chomsky's heavy critiques of the 1950s. Yet since the emergence of formal semantics in the 1970s, the issue of compositionality has gained traction in the theoretical debate, becoming a selling point for linguistic theories.

Yet the concept of 'compositionality' itself remains ill-defined, an issue this book addresses. Positioning compositionality as a cornerstone in linguistic theory, it argues that, contrary to widely held beliefs, there exist non-compositional languages, which shows that the concept of compositionality has empirical content. The author asserts that the existence of syntactic structure can flow from the fact that a compositional grammar cannot be delivered without prior agreement on the syntactic structure of the constituents.

This volume brings together those papers of mine which may be of interest not only to various specialists but also to philosophers. Many of my writings in mathematics were motivated by epistemological considerations; some papers originated in the critique of certain views that at one time dominated the discussions of the Vienna Cirele; others grew out of problems in teaching fundamental ideas of mathematics; sti II others were occasioned by personal relations with economists. Hence a wide range of subjects will be discussed: epistemology, logic, basic concepts of pure and applied mathematics, philosophical ideas resulting from geometric studies, mathematical didactics and, finally, economics. The papers also span a period of more than fifty years. What unifies the various parts of the book is the spirit of searching for the elarification of basic concepts and methods and of articulating hidden ideas and tacit procedures. Part 1 ineludes papers published about 1930 which expound an idea that Carnap, after a short period of opposition in the Cirele, fully adopted ; and, under the name "Princip/e of To/erance", he eloquently formulated it in great generality in his book, Logica/ Syntax of Language (1934), through which it was widely disseminated. "The New Logic" in Chapter 1 furthermore ineludes the first report (I932) to a larger public of Godel's epochal discovery presented among the great logic results of ali time. Chapter 2 is a translation of an often quoted 1930 paper presenting a detailed exposition and critique of intuitionism.

Stig Kanger (1924-1988) made important contributions to logic and formal philosophy. Kanger's most original achievements were in the areas of general proof theory, the semantics of modal and deontic logic, and the logical analysis of the concept of rights. But he contributed significantly to action theory, preference logic and the theory of measurement as well. This is the second of two volumes dedicated to the work of Stig Kanger. The first volume is a complete collection of Kanger's philosophical papers. The present volume contains critical essays on the various aspects of Kanger's work as well as some biographical sketches. Lennart A...qvist, Jan Berg, Brian Chellas, Anatoli Degtyarev, Lars Gustafsson, SAren HalldA(c)n, Kaj BA, rge Hansen, Sven Ove Hansson, Risto Hilpinen, Jaakko Hintikka, Ghita HolmstrAm-Hintikka, Lars Lindahl, Sten LindstrAm, Ingmar PArn, Dag Prawitz, Wlodek Rabinowicz, Krister Segerberg, Amartya Sen, SAren Stenlund, GAran Sundholm, and Andrei Voronkov have contributed to this volume.

1. 1. The Principle of Universalizability-an informal explication This work is concerned with the so-called Principle of Universalizability. As we shall understand it, this principle represents a claim that moral properties of things (persons, actions, state of affairs, situations) are essentially independent of their purely 'individual' or-as one often says -'numerical' aspects. l Thus, if a thing, x, is better than another thing, y, then this fact is not dependent on x's being x nor on y's being y. If a certain person, a, has a duty to help another person, b, then this duty does not arise as a consequence of their being a and b, respectively. And if in a certain situation, W, it ought to be the case that certain goods are transferred from one person to another, then this moral obligation does not depend on the individual identities of the persons involved. The Universalizability Principle may also be expressed in terms of similarities. Instead of saying that the moral properties of x are essentially independent of the individual aspects of x, we may say that any object which is exactly similar to x, which is precisely like x in all non-individual, 'qualitative' respects, must exhibit exactly similar moral properties. Thus, if two persons are exactly similar to each other, (if they are placed in exactly similar circumstances, have exactly similar information, preferences, character, etc. ), then they will have exactly similar rights and duties.

Stanislaw Lesniewski (1886-1939) was one of the leading Polish logicians and founders of the Warsaw School of Logic whose membership included, beside himself, Jan Lukasiewicz, Tadeusz Kotarbinski, Alfred Tarski, and many others. In his lifetime LeSniewski published only a few hundred pages. He produced many important results in many areas of mathematics; these stood in various relations to each other, and to materials produced by others, and, in time, created more and more editorial problems. Very many were left unpublished at the time of his death. Then in 1944 in the fire of Warsaw the whole of this material was burned and lost -a considerable loss since a great deal of what is important could have been reconstructed from these notes. The present publication aims at presenting unique Lesniewski's materials from alternative sources comprising lecture notes taken during some of Lesniewski's lectures and seminars delivered at the University of Warsaw be tween the two world wars. The editors are aware of the limitations of student notes which cannot compensate for the loss of the original materials. However, they are unique in reflecting Lesniewski's ideas as he himself presented them. Already at the time of his death it was realized that these notes would provide a unique access to Lesniewski's own thought as well as a valuable record of some of the activities of the Warsaw School of Logic."

How should we think about the meaning of the words that make up our language? How does reference of these terms work, and what is their referent when these are connected to abstract objects rather than to concrete ones? Can logic help to address these questions? This collection of papers aims to unify the questions of syntax and semantics of language, which span across the fields of logic, philosophy and ontology of language. The leading motif of the presented selection is the differentiation between linguistic tokens (material, concrete objects) on the one hand and linguistic types (ideal, abstract objects) on the other. Through a promenade among articles that span over all of the Author's career, this book addresses the complex philosophical question of the ontology of language by following the crystalline conceptual tools offered by logic. At the core of Wybraniec-Skardowska's scholarship is the idea that language is an ontological being, characterized in compliance with the logical conception of language proposed by Ajdukiewicz. The application throughout the book of tools of classical logic and set theory results fosters the emergence of a general formal logical theory of syntax, semantics and of the pragmatics of language, which takes into account the duality token-type in the understanding of linguistic expressions. Via a functional approach to language itself, logic appears as ontologically neutral with respect to existential assumptions relating to the nature of linguistic expressions and their extra-linguistic counterparts. The book is addressed to readers both at the graduate and undergraduate level, but also to a more general audience interested in getting a firmer grip on the interplay between reality and the language we use to describe and understand it.

Jaakko Hintikka is one of the most creative figures in contemporary philosophy. He has made significant contributions to virtually all areas of the discipline, from epistemology and the philosophy of logic to the history of philosophy and the philosophy of science. Part of the fruitfulness of Hintikka 's work is due to its opening important new lines of investigation and new approaches to traditional philosophical problems. This volume gathers together essays from some of Hintikka 's colleagues and former students exploring his influence on their work and pursuing some of the insights that we have found in his work. This book includes a comprehensive overview of Hintikka 's philosophy by Dan Kolak and John Symons and an annotated bibliography of Hintikka 's work.

This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without antisymmetry, non-existence of the zero element, and Lesniewski's notion of class and set. The book also delves into three theories of parthood: two concern the sum existence axioms, and the third contends with transitivity of parthood. This is the first systematic analysis of systems of mereology of its kind and is suitable for students, scholars, logicians, and mathematicians who wish to further their knowledge of mereology. Original polish publication "Podstawy teorii czesci" by The Nicolaus Copernicus University Press