The Metaphysics of Theism: Aquinas's Natural Theology in Summa Contra Gentiles I (Vol 1)

The Metaphysics of Theism is the definitive study of the natural theology of Thomas Aquinas, the greatest of medieval philosophers, written by one of the world's most eminent scholars of medieval thought. Natural theology is the investigation by analysis and rational argument of fundamental questions about reality, considered in relation to God. Professor Kretzmann shows the continuing value of Aquinas's doctrines to the philosophical enterprise today; he argues that natural theology offers the only route by which philosophers can, as philosophers, approach theological propositions, and that the one presented in this book is the best available natural theology. About Aquinas: St Thomas Aquinas lived from 1224/5 to 1274, mostly in his native Italy but for a time in France. He was the greatest of the medieval philosopher/theologians, and one of the most important of all Western thinkers. His most famous books are the two summaries of his teachings, the Summa contra gentiles and the Summa theologiae. About the book: The Metaphysics of Theism presents an explanation and evaluation of Aquinas's natural theology, the paradigm of which is the first book of the Summa contra gentiles. But in addition to considering this as a monumental achievement of medieval philosophy, Norman Kretzmann approaches it as a continuing enterprise which can be developed with considerable benefit in contemporary philosophy. Professor Kretzmann follows Aquinas in seeing natural theology as the means of integrating philosophy and theology. What makes this enterprise natural theology is its forgoing of appeals to revelation as evidence for the truth of propositions. What makes it natural theology is its agenda: to investigate, by means of analysis and argument, not only the existence and nature of God but also the relation of everything else--especially human nature and behaviour--to God considered as reality's first principle. Professor Kretzmann argues that natural theology offers the only route by which philosophers can, as philosophers, approach theological propositions, and that the one presented in this book is the best available natural theology.

This is a book about Gröbner bases and their applications. It contains 3 chapters, 20 sections, 44 tutorials, 165 exercises, and numerous further amusements.

It is going to help you bridge the gap between theoretical computer algebra and actual computation. We hope you will have as much fun reading it as the authors had writing it!

From the reviews:

This is one of the most refreshing mathematical books I have ever held in my hands. This is academic teaching at its best; if I had not seen it, I would not have believed that it could be done so well. (Hans Stetter, IMN - Internationale Mathematische Nachrichten 2003)

Every paragraph of the book shows how much the authors have enjoyed translating into printed matter the outcome of a long, large, deep and personal relation with computationally oriented commutative algebra. And the result is a non-standard, elementary and self-contained introduction to the theory of Gröbner bases and its applications. (Laureano González-Vega and Tomás Recio, ACM SIGSAM Bulletin 2004)

The style of this book merits a comment. Each section begins with a quotation and an overview in which Italian imagination overtakes German rigor. These introductions and the following main bodies of each section are well written, engaging and often amusing. The book is a pleasure to read. (John Little, Mathematical Reviews 2001)

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law. (Douglas R. Hofstadter) Dear Reader, what you are holding in your hands now is for youabook. But for us, for our families and friends, it has been known as the book over the last three years. Three years of intense work just to?ll three centimeters of your bookshelf! This amounts to about one centimeter per year, or roughly two-?fths of an inch per year if you are non-metric. Clearly we had ample opportunity to experience the full force of Hofstadter's Law. Writing a book about Computational Commutative Algebra is not - like computing a Gr ̈ obner basis: you need unshakeable faith to believe that the project will ever end; likewise, you must trust in the Noetherianity of polynomial rings to believe that Buchberger's Algorithm will ever terminate. Naturally, we hope that the?nal result proves our e?orts worthwhile. This is a book for learning, teaching, reading, and, most of all, enjoying the topic at hand. The Metaphysics of Theism presents an explanation and evaluation of Aquinas's natural theology, the paradigm of which is the first book of the Summa contra gentiles. But in addition to considering this as a monumental achievement of medieval philosophy, Norman Kretzmann approaches it as a continuing enterprise that can be developed with considerable benefit in contemporary philosophy. Professor Kretzmann argues that natural theology offers the most appropriate route by which philosophers can, as philosophers, approach theological propositions, and that the one presented in this book is the best available natural theology. This introduction to polynomial rings, Grbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical. The book's subtitle-'Aquinas's Natural Theology in Summa contra gentiles I'-may suggest that I'm undertaking a project in philosophical scholarship, developing my critical exposition of a thirteenth-century enterprise. Norman Kretzmann expounds and criticises Aquinas' theology of creation, which is natural (or philosophical) in that Aquinas developed it without depending on the data of Scripture Norman Kretzmann. Includes Bibliographical References (p. [271]-276) And Indexes.