The Oxford Handbook of Leibniz


Book Description

This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz's thought thematically organized around its diverse but interrelated aspects. By pulling together the best specialized work in the many domains to which Leibniz contributed, its ambition is to offer the most rounded picture of Leibniz's endeavors currently available.







Philosophy of Mind in the Early and High Middle Ages


Book Description

Philosophy of Mind in the Early and High Middle Ages provides an outstanding overview to a tumultuous 900-year period of discovery, innovation, and intellectual controversy that began with the Roman senator Boethius (c480-524) and concluded with the Franciscan theologian and philosopher John Duns Scotus (c1266-1308). Relatively neglected in philosophy of mind, this volume highlights the importance of philosophers such as Abelard, Duns Scotus, and the Persian philosopher and polymath Avicenna to the history of philosophy of mind. Following an introduction by Margaret Cameron, twelve specially commissioned chapters by an international team of contributors discuss key topics, thinkers and debates, including: mental perception; Avicenna and the intellectual abstraction of intelligibles; Duns Scotus; soul, will, and choice in Islamic and Jewish contexts; perceptual experience; the systematization of the passions; the complexity of the soul and the problem of unity; the phenomenology of immortality; morality; and the self. Essential reading for students and researchers in philosophy of mind, medieval philosophy, and the history of philosophy, Philosophy of Mind in the Early and High Middle Ages is also a valuable resource for those in related disciplines such as Religion.




Categories of Being


Book Description

This edited volume is a comprehensive presentation of views on the relations between metaphysics and logic from Aristotle through twentieth century philosophers who contributed to the return of metaphysics in the analytic tradition. The collection combines interest in logic and its history with interest in analytical metaphysics and the history of metaphysical thought. By so doing, it adds both to the historical understanding of metaphysical problems and to contemporary research in the field. Throughout the volume, essays focus on metaphysica generalis, or the systematic study of the most general categories of being. Beginning with Aristotle and his Categories , the volume goes on to trace metaphyscis and logic through the late ancient and Arabic traditions, examining the views of Thomas Aquinas, Duns Scotus, and William Ockham. Moving into the early modern period, contributors engage with Leibniz's metaphysics, Kant's critique of metaphysics, the relation between logic and ontology in Hegel, and Bolzano's views. Subsequent chapters address: Charles S. Peirce's logic and metaphysics; the relevance of set-theory to metaphysics; Meinong's theory of objects; Husserl's formal ontology; early analytic philosophy; C.I. Lewis and his relation to Russell; and the relations between Frege, Carnap, and Heidegger. Surveying metaphysics through to the contemporary age, essays explore W.V. Quine's attitude towards metaphysics; Wilfrid Sellars's relation to antidescriptivism as it connects to Kripke's; the views of Putnam and Kaplan; Peter F. Strawson's and David M. Armstrong's metaphysics; Trope theory; and its relation to Popper's conception of three worlds. The volume ends with a chapter on transcendental philosophy as ontology. In each chapter, contributors approach their topics not merely in an historical and exegetical fashion, but also engage critically with the thought of the philosophers whose work they discuss, offering synthesis and original philosophical thought in the volume, in addition to very extensive and well-informed analysis and interpretation of important philosophical texts. The volume will serve as an essential reference for scholars of metaphysics and logic.




Reason and the Rule of Faith


Book Description

Inspired by the Catholic intellectual tradition, these essays are the fruit of a series of seminars sponsored by the Center for Catholic Studies and the Saint Paul Seminary School of Divinity at the University of St. Thomas in Saint Paul, Minnesota. With a special focus on the works of John Paul II (especially Veritatis Splendor and Fides et Ratio), the authors bring to light a host of considerations that set the work of his pontificate within the illuminating light of the living intellectual tradition.




Understanding Rationalism


Book Description

The three great historical philosophers most often associated with rationalism - Descartes, Spinoza and Leibniz - opened up ingenious and breathtaking vistas upon the world. Yet their works are so difficult that readers often find themselves stymied. "Understanding Rationalism" offers a guide for anyone approaching these thinkers for the first time.With clear explanations, elegant examples and insightful summaries, "Understanding Rationalism" unlocks their intricate metaphysical systems, which are by turns surprising, compelling and sometimes bizarre. It also lays out their controversial stances on moral, political and religious problems. The study is framed by an opening discussion of the broad themes and attitudes common to these three philosophers and a closing analysis of the legacy they left for the rest of philosophy.




Introduction to the Mathematics of Finance


Book Description

The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in the discrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale, equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for a continuous market model that generalizes the simple Black-Scholes model in several directions.




A short Explanation of the Nicene Creed


Book Description

Reprint of the original, first published in 1866.