Are there truly fundamental entities in nature? Or are the things that we regard as fundamental in our theories – for example space, time or the masses of elementary particles – merely awaiting a derivation from a new, yet to be discovered theory based on elements that are more fundamental? This was the central question posed in the 2018 FQXi essay competition, which drew more than 200 entries from professional physicists, philosophers, and other scholars. This volume presents enhanced versions of the fifteen award-winning essays, giving a spectrum of views and insights on this fascinating topic. From a prescription for “when to stop digging” to the case for strong emergence, the reader will find here a plethora of stimulating and challenging ideas - presented in a largely non-technical manner - on which to sharpen their understanding of the language of physics and even the nature of reality.

This 2003 book offers an interpretation of Heidegger's major work, Being and Time. Unlike those who view Heidegger as an idealist, Taylor Carman argues that Heidegger is best understood as a realist. Amongst the distinctive features of the book are an interpretation explicitly oriented within a Kantian framework (often taken for granted in readings of Heidegger) and an analysis of Dasein in relation to recent theories of intentionality, notably those of Dennett and Searle. Rigorous, jargon-free and deftly argued this book will be necessary reading for all serious students of Heidegger.

What is Meaning? Fundamentals of Formal Semantics is a concise introduction to the field of semantics as it is actually practiced. Through simple examples, pictures, and metaphors, Paul Portner presents the field’s key ideas about how language works. Explains the fundamental ideas and some of the most significant results of modern semantic theory Combines foundational discussion with simplified analyses of complex phenomena to provide readers with a sense of the fascination to be found in the details of the human language Includes exercises and thought-provoking questions to facilitate learning

Fundamental Neuroscience is a comprehensive textbook that seeks to define the full scope of neuroscience. Developed in accordance with results of extensive reviews by neuroscience instructors, this premier textbook is divided into seven integrated sections. Each section may be used for a specific course, or the full text may be adopted to provide a broad-based curriculum that will carry the student from molecular to cognittive neuroscience.

There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Faith Comes from What Is Heard: An Introduction to Fundamental Theology informs both the heart and mind as it brings together dogmatic and biblical theology, the Thomistic tradition, the teachings of the Fathers of the Church, and the contemporary Magisterium. Drawing heavily upon the works of St. Thomas Aquinas, Bl. John Henry Newman, Joseph Ratzinger, and St. John Paul II, the author examines the foundations of Catholic theology, or Fundamental Theology, “which is theology’s reflection on itself as a discipline, its method, and its foundation in God’s Revelation transmitted to us through Scripture and Tradition.” Although Faith Comes from What Is Heard is useful for all Catholics who want to understand the foundations of their faith, it is specifically designed to serve as a textbook for courses in Fundamental Theology in seminaries and in graduate and undergraduate programs in theology. It can also serve as a textbook for introductory theology and Scripture courses. The topics covered in Faith Comes from What Is Heard include: Revelation and FaithTheologyTradition and the MagisteriumBiblical Hermeneuticsthe Historicity of the Gospelsand Biblical Typology

One of our great contemporary scientists reveals the ten profound insights that illuminate what everyone should know about the physical world In Fundamentals, Nobel laureate Frank Wilczek offers the reader a simple yet profound exploration of reality based on the deep revelations of modern science. With clarity and an infectious sense of joy, he guides us through the essential concepts that form our understanding of what the world is and how it works. Through these pages, we come to see our reality in a new way--bigger, fuller, and stranger than it looked before. Synthesizing basic questions, facts, and dazzling speculations, Wilczek investigates the ideas that form our understanding of the universe: time, space, matter, energy, complexity, and complementarity. He excavates the history of fundamental science, exploring what we know and how we know it, while journeying to the horizons of the scientific world to give us a glimpse of what we may soon discover. Brilliant, lucid, and accessible, this celebration of human ingenuity and imagination will expand your world and your mind.

Fundamentals of Forensic Science, Third Edition, provides current case studies that reflect the ways professional forensic scientists work, not how forensic academicians teach. The book includes the binding principles of forensic science, including the relationships between people, places, and things as demonstrated by transferred evidence, the context of those people, places, and things, and the meaningfulness of the physical evidence discovered, along with its value in the justice system. Written by two of the leading experts in forensic science today, the book approaches the field from a truly unique and exciting perspective, giving readers a new understanding and appreciation for crime scenes as recent pieces of history, each with evidence that tells a story. - Straightforward organization that includes key terms, numerous feature boxes emphasizing online resources,historical events, and figures in forensic science - Compelling, actual cases are included at the start of each chapter to illustrate the principles being covered - Effective training, including end-of-chapter questions – paired with a clear writing style making this an invaluableresource for professors and students of forensic science - Over 250 vivid, color illustrations that diagram key concepts and depict evidence encountered in the field