Lectures and Essays by the Late William Kingdon Clifford, F.R.S

Lectures and Essays by the Late William Kingdon Clifford, F.R.S
Author: William Kingdon Clifford
Publisher: Legare Street Press
Total Pages: 0
Release: 2022-10-27
Genre: Education
ISBN: 9781015826175

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

On the Hypotheses Which Lie at the Bases of Geometry

On the Hypotheses Which Lie at the Bases of Geometry
Author: Bernhard Riemann
Publisher: Birkhäuser
Total Pages: 181
Release: 2016-04-19
Genre: Mathematics
ISBN: 3319260421

This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

W. K. Clifford and "The Ethics of Belief"

W. K. Clifford and
Author: Timothy Madigan
Publisher: Cambridge Scholars Publishing
Total Pages: 200
Release: 2008-12-18
Genre: Philosophy
ISBN: 1443802638

W. K. Clifford (1845-1879) was a noted mathematician and popularizer of science in the Victorian era. Although he made major contributions in the field of geometry, he is perhaps best known for a short essay he wrote in 1876, entitled "The Ethics of Belief", in which he argued that "It is wrong always, everywhere, and for any one, to believe anything upon insufficient evidence." Delivered initially as an address to the august Metaphysical Society (whose members included such luminaries as Alfred Lord Tennyson, William Gladstone, T. H. Huxley, and assorted scientists, clerics and philosophers of differing metaphysical views, "The Ethics of Belief" became a rallying cry for freethinkers and a bone of contention for religious apologists. It continues to be discussed today as an exemplar of what is called 'evidentialism', a key point in current philosophy of religion debates over justification of knowledge claims. In this book, Timothy J. Madigan examines the continuing relevance of "The Ethics of Belief" to epistemological and ethical concerns. He places the essay within the historical context, especially the so-called 'Victorian Crisis of Faith' of which Clifford was a key player. Clifford's own life and interests are dealt with as well, along with the responses to his essay by his contemporaries, the most famous of which was William James's "The Will to Believe." Madigan provides an overview of modern-day critics of Cliffordian evidentialism, as well as examining thinkers who were positively influenced by him, including Bertrand Russell, who was perhaps Clifford's most influential successor as an advocate of intellectual honesty. The book ends with a defense of "The Ethics of Belief" from a virtue-theory approach, and argues that Clifford utilizes an "as-if" methodology to encourage intellectual inquiry and communal truth-seeking.' The Ethics of Belief' continues to provoke and stimulate controversy, which was perhaps Clifford's own fondest hope, although he had no right to believe it would do so.

Such Silver Currents

Such Silver Currents
Author: Monty Chisholm
Publisher: Lutterworth Press
Total Pages: 210
Release: 2021-05-27
Genre: Biography & Autobiography
ISBN: 0718848276

Such Silver Currents is the first biography of a mathematical genius and his literary wife, their wide circle of well-known intellectual and artistic friends, and through them of the age in which they lived. William Clifford is now recognised not only for his innovative and lasting mathematics, but also for his philosophy, which embraced the fundamentals of scientific thought, the nature of the physical universe, Darwinian theory, the nature of consciousness, personal morality and law, and the whole mystery of being. Clifford algebra is seen as the basis for Dirac's theory of the electron, fundamental to modern physics, and Clifford also anticipated Einstein's idea that space is curved. The book includes a personal reflection on William Clifford's mathematics by the Nobel Prize winner Sir Roger Penrose O.M. The year after his election to the Royal Society, Clifford married Lucy Lane, the journalist and novelist. During their four years of marriage they held Sunday salons attended by many well-known scientific, literary and artistic personalities. Following William's early death, Lucy became a close friend and confidante of Henry James. Her wide circle of friends included Rudyard Kipling, Thomas Hardy, George Eliot, Leslie Stephen, Thomas Huxley, Sir Frederick Macmillan and Oliver Wendell Holmes Jr.

William Kingdon Clifford

William Kingdon Clifford
Author: MANSFIELD MERRIMAN
Publisher: Prabhat Prakashan
Total Pages: 16
Release: 2021-01-19
Genre: Biography & Autobiography
ISBN:

William Kingdon Clifford by Mansfield Merriman is a biographical work that explores the life and contributions of the renowned English mathematician and philosopher, William Kingdon Clifford. Through meticulous research and insightful analysis, the book delves into Clifford's groundbreaking work in mathematics and his profound influence on the development of philosophical thought. Key Points: Merriman's biography offers a comprehensive portrait of William Kingdon Clifford, shedding light on his remarkable intellectual journey and his significant contributions to both mathematics and philosophy. The book explores Clifford's pioneering work in geometry, his influential ideas on the nature of knowledge and belief, and his lasting impact on the fields of science and philosophy. The biography situates Clifford's work within the intellectual and cultural context of his time, providing readers with a deeper understanding of the challenges and opportunities he faced. It examines the broader scientific and philosophical developments of the era, highlighting the ways in which Clifford's ideas challenged prevailing beliefs and laid the groundwork for future advancements. William Kingdon Clifford not only celebrates the life of a remarkable thinker but also highlights the interconnectedness of mathematics and philosophy. The book demonstrates how Clifford's multidisciplinary approach and his commitment to the pursuit of truth bridged the gap between these two disciplines, inspiring subsequent generations of scholars to explore the fascinating intersections between mathematics, science, and philosophy.

Matrix Gateway to Geometric Algebra, Spacetime and Spinors

Matrix Gateway to Geometric Algebra, Spacetime and Spinors
Author: Garret Sobczyk
Publisher:
Total Pages: 188
Release: 2019-11-07
Genre:
ISBN: 9781704596624

Geometric algebra has been presented in many different guises since its invention by William Kingdon Clifford shortly before his death in 1879. Our guiding principle is that it should be fully integrated into the foundations of mathematics, and in this regard nothing is more fundamental than the concept of number itself. In this book we fully integrate the ideas of geometric algebra directly into the fabric of matrix linear algebra. A geometric matrix is a real or complex matrix which is identified with a unique geometric number. The matrix product of two geometric matrices is just the product of the corresponding geometric numbers. Any equation can be either interpreted as a matrix equation or an equation in geometric algebra, thus fully unifying the two languages. The first 6 chapters provide an introduction to geometric algebra, and the classification of all such algebras. Exercises are provided. The last 3 chapters explore more advanced topics in the application of geometric algebras to Pauli and Dirac spinors, special relativity, Maxwell's equations, quaternions, split quaternions, and group manifolds. They are included to highlight the great variety of topics that are imbued with new geometric insight when expressed in geometric algebra. The usefulness of these later chapters will depend on the background and previous knowledge of the reader.Matrix Gateway to Geometric Algebra will be of interest to undergraduate and graduate students in mathematics, physics and the engineering sciences, who are looking for a unified treatment of geometric ideas arising in these areas at all levels. It should also be of interest to specialists in linear and multilinear algebra, and to mathematical historians interested in the development of geometric number systems.