Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

The book is about the Father Almighty or Infinity, and what He wants all people to understand about life on earth, following His commandments, how to obtain eternal life, what is your soul, and what happens to the soul at the time of your death. This writing comes directly from Infinity by revelations and visions sent to me by The Father Almighty. It also contains new information about the second coming of Jesus, and should be read by all people of this time.

How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.

The problem of evil can be defined theoretically as the apparent inconsistency between, on the one hand, belief in the existence of a perfectly good and omnipotent God and, on the other hand, the existence of evil. This book discusses four different solutions to this problem, provided by Richard Swinburne, Keith Ward, David Griffin and Johan Hygen, with the goal of finding the most coherent solution. The author makes several suggestions for improvement and concludes that there is a coherent answer to the problem of evil. While the focus is on Christian approaches to the problem, many of the approaches and solutions are applicable to other religions as well.

He was the dominant intellectual figure of his age. His published works, including the Principia Mathematica and Opticks, reached across the scientific spectrum, revealing the degree of his interdisciplinary genius. His renown opened doors throughout his career, securing him prestigious positions at Cambridge, the Royal Mint, and the Royal Society. Yet alongside his public success, Sir Isaac Newton harbored private religious convictions that set him at odds with established law and Anglican doctrine, and, if revealed, threatened not just his livelihood but his life. Religion and faith dominated much of Newton's thought and his manuscripts, in various states of completion and numbering in the thousands of pages, are filled with biblical speculation and timelines, along with passages that excoriated the early Church Fathers. They make clear that his theological positions rendered him a heretic. Newton believed that the central concept of the Trinity was a diabolical fraud and loathed the idolatry, cruelty, and persecution that had come to characterize orthodox religion. Instead, he proposed as "simple Christianity"--a faith that would center on a few core beliefs and celebrate diversity in religious thinking and practice. An utterly original but obsessively private religious thinker, Newton composed some of the most daring works of any writer of the early modern period. Little wonder that he and his inheritors suppressed them, and that for centuries they were largely inaccessible. In Priest of Nature, historian Rob Iliffe introduces readers to Newton the religious animal, deepening our understanding of the relationship between faith and science at a formative moment in history and thought. Previous scholars and biographers have generally underestimated the range and complexity of Newton's religious writings, but Iliffe shows how wide-ranging his observations and interests were, spanning the entirety of Christian history from Creation to the Apocalypse. Iliffe's book allows readers to fully engage in the theological discussion that dominated Newton's age. A vibrant biography of one of history's towering scientific figures, Priest of Nature is the definitive work on the spiritual views of the man who fundamentally changed how we look at the universe.

This international collaborative project on G. W. F. Hegel's philosophy includes contributions by eighteen scholars of 18th to 20th century philosophy. It will be an essential reference tool for students and scholars of modern philosophic thought in general and of 19th century German thought in particular. The first part of the volume examines Hegel's early writings up to and including the 1807 Phenomenology of Spirit. The second part is devoted to Hegel's major mature works and lectures as well as to the primary themes of his system of philosophy. It opens with a comprehensive account of Hegel's Science of Logic followed by detailed treatments of the Philosophy of Nature and the Philosophy of Spirit from the Encyclopaedia of Philosophical Sciences. Three further parts of this volume investigate key concepts and interpretive issues, paradigmatic forms of Hegelian argumentation, and main lines of Hegel's influence since the mid-19th century. The volume contains chronologies of Hegel's life and works, a bibliography of primary and secondary sources and an analytical index.

"If one takes a panoramic view of Hegel's entire philosophical endeavor—the endeavor to come to grips with and to be committed to reality in the concrete—one is struck by one inescapable idea: The Hegelian enterprise is an extraordinarily unified and grandiose attempt to elaborate one concept, which Hegel sees as the root of all intelligibility—the concept of God, whatever that term is going to turn out to mean... "...The question with which we are faced ... is neither whether Hegel is correct in what he says nor whether his interpreters are justified in what they say of him. Rather the question is one of finding out just what Hegel does say and of determining what impact that can have on our own thinking... "...Why, then, the 'Concept of God'? The answer is to be found in the culmination of the entire Hegelian system, 'The Philosophy of Absolute Spirit.' Only in the light of 'absolute Spirit' is anything Hegel says intelligible ... in Hegel's view, 'absolute Spirit' is in fact to be identified with God and that, therefore, only if Hegel's 'Concept of God' is intelligible, will anything Hegel says be intelligible." — from the Introduction

A Transition to Advanced Mathematics: A Survey Course promotes the goals of a "bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective is "to bring about a deep change in the mathematical character of students -- how they think and their fundamental perspectives on the world of mathematics." This text promotes three major mathematical traits in a meaningful, transformative way: to develop an ability to communicate with precise language, to use mathematically sound reasoning, and to ask probing questions about mathematics. In short, we hope that working through A Transition to Advanced Mathematics encourages students to become mathematicians in the fullest sense of the word. A Transition to Advanced Mathematics has a number of distinctive features that enable this transformational experience. Embedded Questions and Reading Questions illustrate and explain fundamental concepts, allowing students to test their understanding of ideas independent of the exercise sets. The text has extensive, diverse Exercises Sets; with an average of 70 exercises at the end of section, as well as almost 3,000 distinct exercises. In addition, every chapter includes a section that explores an application of the theoretical ideas being studied. We have also interwoven embedded reflections on the history, culture, and philosophy of mathematics throughout the text.

Hegel's Phenomenology of Spirit is probably his most famous work. First published in 1807, it has exercised considerable influence on subsequent thinkers from Feuerbach and Marx to Heidegger, Kojève, Adorno and Derrida. The book contains many memorable analyses of, for example, the master / slave dialectic, the unhappy consciousness, Sophocles' Antigone and the French Revolution and is one of the most important works in the Western philosophical tradition. It is, however, a difficult and challenging book and needs to be studied together with a clear and accessible secondary text. Stephen Houlgate's Reader's Guide offers guidance on: Philosophical and historical context Key themes Reading the text Reception and influence Further reading

The Omnidoxy is the founding treatise of the Astronist religion and was solely authored by the philosopher and religious founder, Cometan. Partitioned into twelve disquisitions, each of which are further divided into hundreds of discourses, which are themselves titled by those which are known as rubrals, The Omnidoxy has been codified according to a unique writing structure known as insentence. The Omnidoxy not only forms the foundations of Astronism, but it remains the primary modern contributor and the book that ignited the establishment of the Astronic tradition of religion which encompasses the philosophy of Astronism. Introducing brand new philosophical concepts such as cosmocentricity, reascensionism, transcensionism, and sentientism amongst many others, The Omnidoxy remains the principal signifier of a new era in philosophy. The Omnidoxy births hundreds of new belief orientations, schools of thought, neologisms, disciplines of study, theories, and concepts which, when combined and considered collectively, have formed the basis of Astronism. The authorship of The Omnidoxy rests with the single individual philosopher, Cometan who began writing The Omnidoxy at the age of seventeen driven by what he terms as personal inspiration. The historical origination of The Omnidoxy rests in its authorship by Brandon Taylorian during early 21st century England, specifically in the northern county of Lancashire. Like in all textual criticism, the timing and location of the codification of The Omnidoxy is integral to understanding why and how it was written, especially by considering the influential factors impacting Taylorian during his construction of the text, particularly the cultural, political, religious, and social contexts of Taylorian's personal life and of wider society at the time. This forms an important branch of study within omnidoxicology known as omnidoxical criticism, or omnidoxical exegesis in which scholars study and investigate The Omnidoxy in order to discern conclusive judgements inspired by how, where, why, by whom, for whom, and in what circumstances The Omnidoxy was written.