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This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
INFINITY IS NOT WHAT IT SEEMS… Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes in a divine Creator infinite in knowledge, power, and benevolence. According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, Forever Finite offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology.
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Metaphysicians have for centuries attempted to clarify the nature of the world and how rational human beings construct their ideas of it. Materialists believed that the world (including its human component) consisted of objective matter, an irreducible substance to which qualities and characteristics could be attributed. Mindthoughts, ideas, and perceptionswas viewed as a more sophisticated material substance. Idealists, on the other hand, argued that the world acquired its reality from mind, which breathed metaphysical life into substances that had no independent existence of their own. These two camps seemed deadlocked until Immanuel Kant's Critique of Pure Reason endeavored to show that the most accurate theory of reality would be one that combined relevant aspects of each position, yet transcended both to arrive at a more fundamental metaphysical theory. Kant's synthesis sought to disclose how human reason goes about constructing its experience of the world, thus intertwining objective simuli with rational processes that arrive at an orderly view of nature.
Library Committee: Timothy Dwight ... Richard Henry Stoddard, Arthur Richmond Marsh, A.B. [and others] ... Illustrated with nearly two hundred photogravures, etchings, colored plates and full page portraits of great authors. Clarence Cook, art editor.
Immanuel Kant's 'The Critique of Pure Reason: Base Plan for Transcendental Philosophy' is a monumental work in the field of philosophy, exploring the nature of knowledge, reason, and metaphysics. Kant's complex and rigorous argumentation seeks to establish the limits of human understanding and defend the possibility of metaphysical knowledge. Through his meticulous analysis of the faculties of the mind, Kant presents a groundbreaking examination of the ways in which we perceive and interpret the world around us. The book is written in a dense and academic style, with precise definitions and carefully crafted arguments, making it essential reading for anyone interested in the history of philosophy. Immanuel Kant, a German philosopher of the 18th century, is widely considered one of the most influential thinkers in Western philosophy. His work revolutionized the field of metaphysics and epistemology, setting the stage for modern philosophical thought. Kant's background in mathematics and natural science informed his systematic approach to philosophy, as he sought to establish a rational basis for understanding the nature of reality and human cognition. I highly recommend 'The Critique of Pure Reason' to readers who are interested in delving into the intricacies of philosophical inquiry. Kant's insights into the nature of reason and perception continue to influence contemporary debates in philosophy, making this text an essential resource for scholars and students alike.
This eBook edition of "Immanuel Kant" has been formatted to the highest digital standards and adjusted for readability on all devices. Table of Contents: Introduction: IMMANUEL KANT by Robert Adamson KANT'S INAUGURAL DISSERTATION OF 1770 Three Critiques: THE CRITIQUE OF PURE REASON THE CRITIQUE OF PRACTICAL REASON THE CRITIQUE OF JUDGMENT Critical Works: PRELOGOMENA TO ANY FUTURE METAPHYSICS FUNDAMENTAL PRINCIPLES OF THE METAPHYSIC OF MORALS THE METAPHYSICS OF MORALS Philosophy of Law; or, The Science of Right The Metaphysical Elements of Ethics Pre-Critical Works and Essays: DREAMS OF A SPIRIT-SEER IDEA OF A UNIVERSAL HISTORY ON A COSMOPOLITICAL PLAN Preface to THE METAPHYSICAL FOUNDATIONS OF NATURAL SCIENCE PERPETUAL PEACE: A Philosophical Essay OF THE INJUSTICE OF COUNTERFEITING BOOKS Criticism: CRITICISM OF THE KANTIAN PHILOSOPHY by Arthur Schopenhauer Immanuel Kant (1724-1804) was a German philosopher, who, according to the Stanford Encyclopedia of Philosophy is "the central figure of modern philosophy." Kant argued that fundamental concepts of the human mind structure human experience, that reason is the source of morality, that aesthetics arises from a faculty of disinterested judgment, that space and time are forms of our understanding, and that the world as it is "in-itself" is unknowable. Kant took himself to have effected a Copernican revolution in philosophy, akin to Copernicus' reversal of the age-old belief that the sun revolved around the earth.