Matter And Mathematics

Author : Jean-Pierre Changeux,Alain Connes
Publisher : Princeton University Press
Page : 272 pages
File Size : 53,5 Mb
Release : 1998-12-27
Category : Philosophy
ISBN : 0691004056

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Conversations on Mind, Matter, and Mathematics by Jean-Pierre Changeux,Alain Connes Pdf

Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.

Author : John Urschel,Louisa Thomas
Publisher : Penguin
Page : 256 pages
File Size : 50,6 Mb
Release : 2019-05-14
Category : Biography & Autobiography
ISBN : 9780735224872

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Mind and Matter by John Urschel,Louisa Thomas Pdf

A New York Times bestseller John Urschel, mathematician and former offensive lineman for the Baltimore Ravens, tells the story of a life balanced between two passions For John Urschel, what began as an insatiable appetite for puzzles as a child developed into mastery of the elegant systems and rules of mathematics. By the time he was thirteen, Urschel was auditing a college-level calculus course. But when he joined his high school football team, a new interest began to eclipse the thrill he felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. After he accepted a scholarship to play at Penn State, his love of math was rekindled. As a Nittany Lion, he refused to sacrifice one passion for the other. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete. While he was an offensive lineman for the Baltimore Ravens, he simultaneously pursued his PhD in mathematics at MIT. Weaving together two separate narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he declined offers from prestigious universities and refused to abandon his team. He describes his parents’ different influences and their profound effect on him, and he opens up about the correlation between football and CTE and the risks he took for the game he loves. Equally at home discussing Georg Cantor’s work on infinities and Bill Belichick’s playbook, Urschel reveals how each challenge—whether on the field or in the classroom—has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. “So often, people want to divide the world into two,” he observes. “Matter and energy. Wave and particle. Athlete and mathematician. Why can’t something (or someone) be both?”

Author : Andrew Younan
Publisher : CUA Press
Page : 245 pages
File Size : 54,9 Mb
Release : 2022-11-08
Category : Philosophy
ISBN : 9780813236124

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Matter and Mathematics by Andrew Younan Pdf

"What is "A Law of Nature"? It's a question that's vexed philosophers and scientists ever since Descartes first coined the term. Fr. Andrew Younan explores it in this insightful book. After carefully reviewing the positions of Humeans and Anti-Humeans, he employs the philosophy of Aristotle and Aquinas to argue for an essentialist understanding. His study leads him back to the beginnings of modern science and then forward to quantum mechanics. The philosophical account of how the laws of nature arise from observed regularities in the world is followed by a theological discussion of the nature and action of the Lawgiver."--from the foreword by Michael J. Dodds, OP To borrow a phrase from Galileo: What does it mean that the story of the creation is "written in the language of mathematics?" This book is an attempt to understand the natural world, its consistency, and the ontology of what we call laws of nature, with a special focus on their mathematical expression. It does this by arguing in favor of the Essentialist interpretation over that of the Humean and Anti-Humean accounts. It re-examines and critiques Descartes' notion of laws of nature following from God's activity in the world as mover of extended bodies, as well as Hume's arguments against causality and induction. It then presents an Aristotelian-Thomistic account of laws of nature based on mathematical abstraction, necessity, and teleology, finally offering a definition for laws of nature within this framework.

Author : John Casti
Publisher : Unknown
Page : 264 pages
File Size : 52,9 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015034420987

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Five Golden Rules by John Casti Pdf

In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.

Author : Luis Manuel Braga de Costa Campos
Publisher : CRC Press
Page : 888 pages
File Size : 49,6 Mb
Release : 2014-04-18
Category : Mathematics
ISBN : 9781420071153

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Generalized Calculus with Applications to Matter and Forces by Luis Manuel Braga de Costa Campos Pdf

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2) as a functional over a set of test functions from which properties are inherited. The second approach is developed more extensively to encompass multidimensional generalized functions whose arguments are ordinary functions of several variables. As part of a series of books for engineers and scientists exploring advanced mathematics, Generalized Calculus with Applications to Matter and Forces presents generalized functions from an applied point of view, tackling problem classes such as: Gauss and Stokes’ theorems in the differential geometry, tensor calculus, and theory of potential fields Self-adjoint and non-self-adjoint problems for linear differential equations and nonlinear problems with large deformations Multipolar expansions and Green’s functions for elastic strings and bars, potential and rotational flow, electro- and magnetostatics, and more This third volume in the series Mathematics and Physics for Science and Technology is designed to complete the theory of functions and its application to potential fields, relating generalized functions to broader follow-on topics like differential equations. Featuring step-by-step examples with interpretations of results and discussions of assumptions and their consequences, Generalized Calculus with Applications to Matter and Forces enables readers to construct mathematical–physical models suited to new observations or novel engineering devices.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,8 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:603416309

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Mathematics, Matter and Method by Anonim Pdf

Author : Anonim
Publisher : Dr. Nun Amen-Ra
Page : 129 pages
File Size : 53,7 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 8210379456XXX

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Mind, Matter, Mathematics, & Mortality: Meditations on a Momentous Metaphysical Theory by Anonim Pdf

Author : Hilary Putnam
Publisher : CUP Archive
Page : 362 pages
File Size : 45,6 Mb
Release : 1975-11
Category : Philosophy
ISBN : 0521206650

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Mathematics, Matter and Method: Volume 1, Philosophical Papers by Hilary Putnam Pdf

Author : Cathy Humphreys
Publisher : Unknown
Page : 196 pages
File Size : 47,7 Mb
Release : 2015
Category : Electronic
ISBN : 1760016527

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Making Number Talks Matter by Cathy Humphreys Pdf

Author : Hermann Weyl
Publisher : Courier Corporation
Page : 368 pages
File Size : 45,8 Mb
Release : 2013-04-26
Category : Science
ISBN : 9780486318424

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Space, Time, Matter by Hermann Weyl Pdf

Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.

Author : Sven Ove Hansson
Publisher : Springer
Page : 373 pages
File Size : 52,7 Mb
Release : 2018-10-24
Category : Philosophy
ISBN : 9783319937793

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Technology and Mathematics by Sven Ove Hansson Pdf

This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability. The book also examines the work of such historical figures as Gottfried Wilhelm Leibniz, Charles Babbage, Ada Lovelace, and Alan Turing.

Author : Glenn Fulford,Philip Broadbridge
Publisher : Cambridge University Press
Page : 220 pages
File Size : 49,9 Mb
Release : 2002
Category : Mathematics
ISBN : 0521001811

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Industrial Mathematics by Glenn Fulford,Philip Broadbridge Pdf

An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.

Author : Richard Courant,Herbert Robbins
Publisher : Oxford University Press, USA
Page : 596 pages
File Size : 40,6 Mb
Release : 1996
Category : Juvenile Nonfiction
ISBN : 0195105192

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What is Mathematics? by Richard Courant,Herbert Robbins Pdf

The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Author : Hilary Putnam
Publisher : Cambridge University Press
Page : 382 pages
File Size : 51,8 Mb
Release : 2012-05-11
Category : Philosophy
ISBN : 9781139241663

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Mathematics, Matter and Method: Volume 1 by Hilary Putnam Pdf

Author : Hilary Putnam
Publisher : Cambridge University Press
Page : 380 pages
File Size : 54,8 Mb
Release : 1979-04-30
Category : Mathematics
ISBN : 0521295505

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Philosophical Papers: Volume 1, Mathematics, Matter and Method by Hilary Putnam Pdf

This volume deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry.