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The idea behind the alphabet - that language with all its wealth of meaning can be recorded with a few meaningless signs - is an extraordinary one. So extraordinary, in fact, that it has occurred only once in human history: in Egypt about 4000 years ago. Alpha Beta follows the emergence of the western alphabet as it evolved into its present form, contributing vital elements to our sense of identity along the way. The Israelites used it to define their God, the Greeks to capture their myths, the Romans to display their power. And today, it seems on the verge of yet another expansion through the internet. Tracking the alphabet as it leaps from culture to culture, John Man weaves discoveries, mysteries and controversies into a story of fundamental historical significance.
If you’d love to learn Greek so you can study your Bible better, then this newly revised second edition of Greek for the Rest of Us is foryou. Developed by renowned Greek teacher William Mounce, this revolutionarycrash-course on “Greek for the rest of us” will acquaint you with the essentials of the language and deepen your understanding of God’s Word. You’ll gain a sound knowledge of Greek, and you’ll learn how to use tools that will add muscle to your Bible studies. This book is divided into three major sections (Foundational Greek, Church Greek, and Functional Greek), each of which builds on the previous section and takes you to the next level. Depending on which levels you take, the book will teach you how to: Read and pronounce Greek words Learn the fundamentals of the Greek noun and verb system Conduct effective Greek word studies Learn the basics of Greek exegesis for biblical interpretation Decipher why translations are different Read better commentaries Be comfortable using reverse and traditional interlinears Understand the information displayed by biblical software
This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education. Topics addressed include: • The historical context of any topic that involves how mathematical thinking emerged, focusing on archaeological and philological evidence. • Connection between math cognition and symbolism, annotation and other semiotic processes. • Interrelationships between mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution. • Whether mathematics is an innate faculty or forged in cultural-historical context • What, if any, structures are shared between mathematics and language