Editor’s Note: Ethics: The Fundamentals explores core ideas and arguments in moral theory by introducing students to different philosophical approaches to ethics, including virtue ethics, Kantian ethics, divine command theory, and feminist ethics. The first volume in the new Fundamentals of Philosophy series. Presents lively, real-world examples and thoughtful discussion of key moral philosophers and their ideas. Constitutes an excellent resource for readers coming to the subject of ethics for the first time.
An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems
Publisher’s note: This volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of the philosophical issues that give rise to fuzzy logic – problems arising from vague language – and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems – Lukasiewicz, Godel, and product logics – are then presented as generalizations of three-valued systems that successfully address the problems of vagueness. Semantic and axiomatic systems for three-valued and fuzzy logics are examined along with an introduction to the algebras characteristic of those systems. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, ask students to continue proofs begun in the text, and engage them in the comparison of logical systems.
Virtues of the Mind: An Inquiry Into the Nature of Virtue and the Ethical Foundations of Knowledge.
lmost all theories of knowledge and justified belief employ moral concepts and forms of argument borrowed from moral theories, but none of them pay attention to the current renaissance in virtue ethics. This remarkable book is the first attempt to establish a theory of knowledge based on the model of virtue theory in ethics. The book develops the concept of an intellectual virtue, and then shows how the concept can be used to give an account of the major concepts in epistemology, including the concept of knowledge. This highly original work of philosophy for professionals will also provide students with an excellent introduction to epistemology, virtue theory, and the relationship between ethics and epistemology.
Understanding Symbolic Logic
Description – This comprehensive introduction presents the fundamentals of symbolic logic clearly, systematically, and in a straightforward style accessible to readers. Each chapter, or unit, is divided into easily comprehended small bites that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics.
Eros Unveiled: Plato and the God of Love
Publisher’s note: This unique book challenges the traditional distinction between eros, the love found in Greek thought, and agape, the love characteristic of Christianity. Focusing on a number of classic texts, including Plato’s Symposium and Lysis, Aristotle’s Ethics and Metaphysics, and famous passages in Gregory of Nyssa, Origen, Dionysius the Areopagite, Plotinus, Augustine, and Thomas Aquinas, the author shows that Plato’s account of eros is not founded on self-interest. In this way, she restores the place of erotic love as a Christian motif, and unravels some longstanding confusions in philosophical discussions of love.
First Order Logic: An Introduction
Publisher’s Note: This teaching book is designed to help its readers to reason systematically, reliably, and to some extent self-consciously, in the course of their ordinary pursuits-primarily in inquiry and in decision making. The principles and techniques recommended are explained and justified – not just stated; the aim is to teach orderly thinking, not the manipulation of symbols. The structure of material follows that of Quine’s Methods of Logic, and may be used as an introduction to that work, with sections on truth-functional logic, predicate logic, relational logic, and identity and description. Exercises are based on problems designed by authors including Quine, John Cooley, Richard Jeffrey, and Lewis Carroll.
On the Philosophy of Logic
Publisher’s Note: Jennifer Fisher’s On the Philosophy of Logic explores questions about logic often overlooked by philosophers. Which of the many different logics available to us is right? How would we know? What makes a logic right in the first place? Is logic really a good guide to human reasoning? An ideal companion text for any course in symbolic logic, this lively and accessible book explains important logical concepts, introduces classical logic and its problems and alternatives, and reveals the rich and interesting philosophical issues that arise in exploring the fundamentals of logic.
Introducing Philosophy of Mathematics
Publisher’s Note: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics – Platonism, realism, logicism, formalism, constructivism and structuralism – as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
Considered Judgment
Publisher’s Note: Philosophy long sought to set knowledge on a firm foundation, through derivation of indubitable truths by infallible rules. For want of such truths and rules, the enterprise foundered. Nevertheless, foundationalism’s heirs continue their forbears’ quest, seeking security against epistemic misfortune, while their detractors typically espouse unbridled coherentism or facile relativism. Maintaining that neither stance is tenable, Catherine Elgin devises a via media between the absolute and the arbitrary, reconceiving the nature, goals, and methods of epistemology. In Considered Judgment, she argues for a reconception that takes reflective equilibrium as the standard of rational acceptability. A system of thought is in reflective equilibrium when its components are reasonable in light of one another, and the account they comprise is reasonable in light of our antecedent convictions about the subject it concerns.
Many epistemologists now concede that certainty is a chimerical goal. But they continue to accept the traditional conception of epistemology’s problematic. Elgin suggests that in abandoning the quest for certainty we gain opportunities for a broader epistemological purview – one that comprehends the arts and does justice to the sciences. She contends that metaphor, fiction, emotion, and exemplification often advance understanding in science as well as in art. The range of epistemology is broader and more variegated than is usually recognized. Tenable systems of thought are neither absolute nor arbitrary. Although they afford no guarantees, they are good in the way of belief.
Democratic Education
Publisher’s Note: Who should have the authority to shape the education of citizens in a democracy? This is the central question posed by Amy Gutmann in the first book-length study of the democratic theory of education. The author tackles a wide range of issues, from the democratic case against book banning to the role of teachers’ unions in education, as well as the vexed questions of public support for private schools and affirmative action in college admissions.