Descartes S Secret Notebook

René Descartes (1596–1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook—and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages—which, though written in code, he amazingly deciphered there on the spot. Leibniz’s hastily scribbled notes are all we have today of Descartes’s notebook, which has disappeared. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.

René Descartes (1596—1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates has made our intellectual conquest of physical space possible. But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes’s death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians of all time, moved to Paris in search of this notebook–and eventually found it in the possession of Claude Clerselier, a friend of Descartes’s. Liebniz called on Clerselier and was allowed to copy only a couple of pages–which, though written in code, he amazingly deciphered there on the spot. Liebniz’s hastily scribbled notes are all we have today of Descartes’s notebook. Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions will lead the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.

Does God exist? What are the various arguments that seek to prove the existence of God? Can atheists refute these arguments? The Existence of God: A Philosophical Introduction assesses classical and contemporary arguments concerning the existence of God: the ontological argument, introducing the nature of existence, possible worlds, parody objections, and the evolutionary origin of the concept of God the cosmological argument, discussing metaphysical paradoxes of infinity, scientific models of the universe, and philosophers’ discussions about ultimate reality and the meaning of life the design argument, addressing Aquinas’s Fifth Way, Darwin’s theory of evolution, the concept of irreducible complexity, and the current controversy over intelligent design and school education. Bringing the subject fully up to date, Yujin Nagasawa explains these arguments in relation to recent research in cognitive science, the mathematics of infinity, big bang cosmology, and debates about ethics and morality in light of contemporary political and social events. The book also includes fascinating insights into the passions, beliefs and struggles of the philosophers and scientists who have tackled the challenge of proving the existence of God, including Thomas Aquinas, and Kurt Gödel - who at the end of his career as a famous mathematician worked on a secret project to prove the existence of God. The Existence of God: A Philosophical Introduction is an ideal gateway to the philosophy of religion and an excellent starting point for anyone interested in arguments about the existence of God.

The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.​

During the fifteenth century, the Scientific Revolution signaled a major shift in the way people viewed the natural world. Today, Ren� Descartes is perhaps best known as the father of modern Western philosophy, but he also played an important role in the development of a rational approach toward scientific questions. He was a gifted mathematician and his examinations of the natural world led him to develop theories about light, the formation of the universe, and how the human mind works. This biography shows how Descartes�s rational method inspired his own discoveries and continues to resonate today.

Non-scientists often perceive science as a dry, boring vocation pursued by dry, boring people. Contrary to popular perception, science has actually been the product of fascinating people seeking to explain the world around them. From Galileo’s difficulties with the Inquisition, to the quirkiness of Newton, to the iconic figure that was Einstein, this innovative volume chronicles the history of science using extensive passages from the works of the scientists themselves. Who better to appeal to our common sense concerning the truth of a sun-centered universe than Copernicus himself? Kepler expresses in his own words the way in which he awoke to the revelation of elliptical orbits, and Darwin shares his slowly evolving ideas leading to the theory of natural selection. Part biography, part history, this work reveals the personalities behind the world’s most significant scientific discoveries, providing an interesting new perspective on the human endeavor we call science. Instructors considering this book for use in a course may request an examination copy here.