Moritz's 'Memorabilia Mathematica' inspired this work, but this one differs in that sources are limited to mathematicians of the 20th century. Useful to researchers to facilitate a literature search, to writers who want to emphasize or substantiate a point, and to teachers, students, and other readeres who will have their appetite for the subject whetted by the 83 quotes. -- Book News, Inc.
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...identical, is as much at home in the art of reasoning as anywhere else: and this is why no science, whether biology or any other, can offer any kind of reasoning, of which mathematics does not supply a simpler and purer counterpart. Thus, we are enabled to eliminate the only remaining portion of the old philosophy which could even appear to offer any real utility; the logical part, the value of which is irrevocably absorbed by mathematical science.--Comte, A. Positive Philosophy, Martineau, (London, 1875), Vol. 1, pp. 321-322. 1316. We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of exact science are mathematics and logic: the mathematical sect puts out the logical eye, the logical sect puts out the mathematical eye; each believing that it can see better with one eye than with two. De Morgan, A. Quoted in F. Cajori: History of Mathematics (New York, 1897), p. 316. 1316. The progress of the art of rational discovery depends in a great part upon the art of characteristic (ars characteristica). The reason why people usually seek demonstrations only in numbers and lines and things represented by these is none other than that there are not, outside of numbers, convenient characters corresponding to the notions.--Leibnitz, G. W. Philosophische Schriften Gerhardt Bd. 8, p. 198. 1317. The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus.... To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in...
In 1578, during months of imprisonment for his reformist beliefs, San Juan de la Cruz composed a series of narrative poems inspired by the Biblical Song of Songs—and, the story goes, a popular love song overheard from his cramped cell—that take God as the beloved. Erotically charged, initially scandalous, his mystical poetry engages with the journey of the soul through the darkest trenches of suffering and despair toward an enlightened spiritual connection with God. For hundreds of years, these poems have resonated deeply with those who search for meaning in the dark, and have influenced generations of poets, artists, and philosophers. This bilingual edition of the Complete Poems—including “Dark Night” and both the Sanlúcar and Jaén manuscripts of “Spiritual Canticle”—presents an intimate and exceptionally collaborative new translation from María Baranda and Paul Hoover. Baranda, one of the most distinguished Mexican poets of her generation, lends her deft hand with expansive, meditative poetry. Hoover—the accomplished American poet, editor, and translator—offers his dexterity with form and the possibilities of language. The product is uniquely faithful to image and idea, and loyal to the ecstatic lyricism of this canonical text. A volume that hums with the soul’s longing to find solace, The Complete Poems of San Juan de la Cruz is a collection to be treasured.
An NPR Best Book of 2022 * One of Christian Science Monitor's 10 best books of May “This amazing new book . . . takes us on a journey through classic and contemporary philosophy powered by questions like ‘What do we have the right to do? When is it okay to do this or that?’ They explore punishment and authority and sex and gender and race and the nature of truth and knowledge and the existence of God and the meaning of life and Scott just does an incredible job.” —Ryan Holiday, The Daily Stoic Some of the best philosophers in the world gather in surprising places—preschools and playgrounds. They debate questions about metaphysics and morality, even though they’ve never heard the words and perhaps can’t even tie their shoes. They’re kids. And as Scott Hershovitz shows in this delightful debut, they’re astoundingly good philosophers. Hershovitz has two young sons, Rex and Hank. From the time they could talk, he noticed that they raised philosophical questions and were determined to answer them. They re-created ancient arguments. And they advanced entirely new ones. That’s not unusual, Hershovitz says. Every kid is a philosopher. Following an agenda set by Rex and Hank, Hershovitz takes us on a fun romp through classic and contemporary philosophy, powered by questions like, Does Hank have the right to drink soda? When is it okay to swear? and, Does the number six exist? Hershovitz and his boys take on more weighty issues too. They explore punishment, authority, sex, gender, race, the nature of truth and knowledge, and the existence of God. Along the way, they get help from professional philosophers, famous and obscure. And they show that all of us have a lot to learn from listening to kids—and thinking with them. Hershovitz calls on us to support kids in their philosophical adventures. But more than that, he challenges us to join them so that we can become better, more discerning thinkers and recapture some of the wonder kids have at the world.
This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.
Beyond their esthetic and utilitarian importance, urban trees seem to fill a deeper human need. Perhaps they are reminders of the inexorable cycles of the natural world. Perhaps they serve as eddies and rills of slowness and sureness within the frantic rush of our urban environment. For more than two decades, photographer David Paul Bayles has been making images of trees in cities and suburbs--places of tension, as he puts it, between "what we build and what we grow." This beautifully designed and produced volume showcases his extraordinary vision of urban trees and their often precarious, sometimes triumphant place in the human landscape. Initially drawn to his subject by "the balance and harmony and beauty between the manmade structure and the tree," Bayles has also found and photographed plenty of imbalance and human folly along the way. His images are laconic, almost deadpan, yet at the same time infused with irony, humor, and compassion. They avoid the easy trap of politicization, allowing and encouraging each of us to see the relationship between humankind and trees--in all of its complexity--for ourselves. This much is certain: Those who delve into the pages of this remarkable book will never again look at the trees around them in quite the same way.
Game designers today are expected to have an arsenal of multi-disciplinary skills at their disposal in the fields of art and design, computer programming, psychology, economics, composition, education, mythology—and the list goes on. How do you distill a vast universe down to a few salient points? Players Making Decisions brings together the wide range of topics that are most often taught in modern game design courses and focuses on the core concepts that will be useful for students for years to come. A common theme to many of these concepts is the art and craft of creating games in which players are engaged by making meaningful decisions. It is the decision to move right or left, to pass versus shoot, or to develop one’s own strategy that makes the game enjoyable to the player. As a game designer, you are never entirely certain of who your audience will be, but you can enter their world and offer a state of focus and concentration on a task that is intrinsically rewarding. This detailed and easy-to-follow guide to game design is for both digital and analog game designers alike and some of its features include: A clear introduction to the discipline of game design, how game development teams work, and the game development process Full details on prototyping and playtesting, from paper prototypes to intellectual property protection issues A detailed discussion of cognitive biases and human decision making as it pertains to games Thorough coverage of key game elements, with practical discussions of game mechanics, dynamics, and aesthetics Practical coverage of using simulation tools to decode the magic of game balance A full section on the game design business, and how to create a sustainable lifestyle within it
What is it that brings all these different things together? The subatomic particles and the Vedic square. The hydrogen atom and the golden section. Fibonacci numbers, consciousness, and alchemy. Nikola Tesla, music, and the ether. Electromagnetism, gravity, and the fourth dimension. The procession of the equinox, the Mayan dooms day, the Hindu Brahma cycle, and Atlantis. It is Numbers, or more precisely; their Digital Root. In this book the author examines the amazing world of numbers, particularly those which have intrigued and fascinated ancient and modern mathematicians alike. However, he does it from a very novel point of view; by implementing the digital root operation, in which the individual digits of any of these numbers are summed up until a single digit is left over. The author will show that when applying this simple operation to magical numbers, and to many other groups of numbers, an amazing world of hidden interconnections; repetition cycles; numerical symmetries; and geometrical patterns emerge. Especially when the geometrical (the circle) and the numerical aspects of the digital root world are combined together. It is in this circular/numerical world where numbers, individually and collectively, exist in their most basic, yet perfect and symmetrical states, and where the basic nine numbers are differentiated into three groups of amazing properties, which will be shown to underlie the essence of the whole universe; from the atom and its forces to the solar system and its geometry. This book will take us on a numerical and spiritual journey: starting from prime and figurate numbers; to Fibonacci sequence and the golden section; to alchemy and the Mayan calendar; to the atoms and its forces, along with the ether and the fourth dimension. In addition, the author will show how these new revelations of the digital root world are corroborating the numerological and mystical qualities that have been attributed to numbers by philosophers and mystics throughout the ages. This book will paint a so holistic and meaningful image of the world that will forever change our perception, not only towards numbers, but towards the whole universe as well.
