A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.

This new study of David Hume s philosophy of mathematics critically examines his objections to the concept of infinity, and his alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles.

Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Discover the Enlightenment Legacy: Locke's Masterpieces Embark on a profound journey into the foundational texts of modern philosophy with this captivating 2 Ebook combo, unveiling the timeless wisdom of John Locke. Book 1: An Essay Concerning Humane Understanding, Volume 1 Delve into the depths of human cognition and perception as Locke navigates the intricate landscape of knowledge acquisition. Through meticulous analysis and philosophical inquiry, Locke challenges conventional notions, laying the groundwork for empirical inquiry and the understanding of the self. Book 2: Second Treatise of Government Explore the fundamental principles of political philosophy as Locke elucidates the nature of governance, authority, and individual rights. With eloquence and clarity, Locke articulates the social contract theory, igniting debates that resonate through the annals of history and shape modern political thought. Unravel the Threads of Enlightenment Ideals: Are We Bound by Consent or Constrained by Circumstance? Join the Intellectual Expedition! As you immerse yourself in Locke's seminal works, contemplate the essence of human understanding and the foundations of governance. Do we shape our reality through the faculties of the mind, or are we products of societal constructs? The answers lie within these profound treatises, awaiting your exploration. Unlock the Treasures of Enlightenment Thought - Secure Your Journey Today!

An Essay Concerning Human Understanding by John Locke is a foundational text in the philosophy of empiricism, exploring the nature of human knowledge and the mind. Published in 1689, this Enlightenment masterpiece challenges the notion of innate ideas, proposing instead that the mind begins as a "tabula rasa" or blank slate, shaped by experience. Locke meticulously dissects the formation of ideas, distinguishing between simple ideas derived from sensory experience and complex ideas constructed by the mind. He examines primary and secondary qualities, emphasizing that our perception of the world is mediated by these qualities. Locke's exploration of personal identity introduces a psychological criterion, laying the groundwork for modern discussions on self and consciousness. The essay also delves into language, knowledge, and belief, offering insights into intuition, mathematics, and moral philosophy. An Essay Concerning Human Understanding remains a pivotal work in the categories of Philosophy, Epistemology, and Enlightenment Studies, influencing thinkers like David Hume and George Berkeley. Locke's clear and methodical approach invites readers to reconsider the origins and limits of human understanding.

This book are strictly the insights of the author based on his knowledge of scripture, common sense, and science. It covers a broad variety of topics that are not normally discussed together in an attempt to draw consistent conclusions about what we know about the nature of God, and ourselves. The first chapter, Infinity, describes how we know God exists. The second, Divinity, describes certain aspects of God and our relationship with Him. The third chapter, The Holy Trinity, describes God as the Holy Trinity which is based on the unique observations of the author. The author understands that there will be challenges to the numerous conclusions he makes. But, he hopes that the readers will read the book in its entirety to understand that each assertion is consistent with all other assertions made in the book. The author will be glad to follow up on those challenges.

Have you ever asked yourself why the world exists, why suffering seems unavoidable, or what the higher purpose of life might be? Well, look no further. This book delivers answers to some of our most enduring questions, clearly revealing the single truth that underpins every other truth. The author observes that while we tend to think of science and religion as opposites, they both try to understand the same reality. The problem is that understanding reality is tricky. Fortunately, the infinity principle tells us that we can understand the fundamental truths about this world. In fact, the answer is close by and is one we can find without scientific knowledge or religious creed. The infinity principle sheds light on our most haunting paradoxes and helps us grasp the ground conditions that rule our journey through space and time. Since the very first why was posed, mankind has pondered the deep enigmas of this world. Finally, a thorough answer is presented, and there is nothing mysterious about it.

The Righteous Way: Infinity Edition is a practical self-help guide for readers to tap into their infinite potential and power. It includes an exclusive interview with Big Daddy Kane, including mental health specialist Allah Shah, and entrepreneur Knowledge Infinite Allah; featured essays from Saladin Quanaah Allah and Infinite Mind Allah; and photos by Jamel Shabazz and Khalik Allah.