conversations on mind matter and mathematics

Download Book Conversations On Mind Matter And Mathematics in PDF format. You can Read Online Conversations On Mind Matter And Mathematics here in PDF, EPUB, Mobi or Docx formats.

Conversations On Mind Matter And Mathematics

Author : Jean-Pierre Changeux
ISBN : 0691004056
Genre : Mathematics
File Size : 77. 35 MB
Format : PDF, Docs
Download : 173
Read : 1086

Get This Book


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 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? 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? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. 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.

What Makes Us Think

Author : Jean-Pierre Changeux
ISBN : 0691092850
Genre : Philosophy
File Size : 45. 77 MB
Format : PDF, ePub, Mobi
Download : 143
Read : 1313

Get This Book


Will understanding our brains help us to know our minds? Or is there an unbridgeable distance between the work of neuroscience and the workings of human consciousness? In a remarkable exchange between neuroscientist Jean-Pierre Changeux and philosopher Paul Ricoeur, this book explores the vexed territory between these divergent approaches--and comes to a deeper, more complex perspective on human nature. Ranging across diverse traditions, from phrenology to PET scans and from Spinoza to Charles Taylor, What Makes Us Think? revolves around a central issue: the relation between the facts (or "what is") of science and the prescriptions (or "what ought to be") of ethics. Changeux and Ricoeur ask: Will neuroscientific knowledge influence our moral conduct? Is a naturally based ethics possible? Pursuing these questions, they attack key topics at the intersection of philosophy and neuroscience: What are the relations between brain states and psychological experience? Between language and truth? Memory and culture? Behavior and action? What is a mental representation? How does a sign relate to what it signifies? How might subjective experience be constructed rather than discovered? And can biological or cultural evolution be considered progressive? Throughout, Changeux and Ricoeur provide unprecedented insight into what neuroscience can--and cannot--tell us about the nature of human experience. Changeux and Ricoeur bring an unusual depth of engagement and breadth of knowledge to each other's subject. In doing so, they make two often hostile disciplines speak to one another in surprising and instructive ways--and speak with all the subtlety and passion of conversation at its very best.

Before Tomorrow

Author : Catherine Malabou
ISBN : 9780745691527
Genre : Philosophy
File Size : 82. 58 MB
Format : PDF, Kindle
Download : 160
Read : 511

Get This Book


Is contemporary continental philosophy making a break with Kant? The structures of knowledge, taken for granted since Kantï¿1⁄2s Critique of Pure Reason, are now being called into question: the finitude of the subject, the phenomenal given, a priori synthesis. Relinquish the transcendental: such is the imperative of postcritical thinking in the 21st century. Questions that we no longer thought it possible to ask now reemerge with renewed vigor: can Kant really maintain the difference between a priori and innate? Can he deduce, rather than impose, the categories, or justify the necessity of nature? Recent research into brain development aggravates these suspicions, which measure transcendental idealism against the thesis of a biological origin for cognitive processes. In her important new book Catherine Malabou lays out Kantï¿1⁄2s response to his posterity. True to its subject, the book evolves as an epigenesis ï¿1⁄2 the differentiated growth of the embryo ï¿1⁄2 for, as those who know how to read critical philosophy affirm, this is the very life of the transcendental and contains the promise of its transformation.

Triangle Des Pens Es

Author : Alain Connes
ISBN : 082182614X
Genre : Mathematics
File Size : 34. 42 MB
Format : PDF
Download : 866
Read : 796

Get This Book


Our view of the world today is fundamentally influenced by twentieth century results in physics and mathematics. Here, three members of the French Academy of Sciences: Alain Connes, Andre Lichnerowicz, and Marcel Paul Schutzenberger, discuss the relations among mathematics, physics and philosophy, and other sciences. Written in the form of conversations among three brilliant scientists and deep thinkers, the book touches on, among others, the following questions: Is there a ``primordial truth'' that exists beyond the realm of what is provable? More generally, is there a distinction between what is true in mathematics and what is provable? How is mathematics different from other sciences? How is it the same? Does mathematics have an ``object'' or an ``object of study'', the way physics, chemistry and biology do? Mathematics is a lens, through which we view the world. Connes, Lichnerowicz, and Schutzenberger examine that lens, to understand how it affects what we do see, but also to understand how it limits what we can see. How does a well-informed mathematician view fundamental topics of physics, such as: quantum mechanics, general relativity, quantum gravity, grand unification, and string theory? What are the relations between computational complexity and the laws of physics? Can pure thought alone lead physicists to the right theories, or must experimental data be the driving force? How should we compare Heisenberg's arrival at matrix mechanics from spectral data to Einstein's arrival at general relativity through his thought experiments? The conversations are sprinkled with stories and quotes from outstanding scientists, which enliven the discourse. The book will make you think again about things that you once thought were quite familiar. Alain Connes is one of the founders of non-commutative geometry. He holds the Chair of Analysis and Geometry at the College de France. He was awarded the Fields Medal in 1982. In 2001, he was awarded the Crafoord Prize by The Royal Swedish Academy of Sciences. Andre Lichnerowicz, mathematician, noted geometer, theoretical physicist, and specialist in general relativity, was a professor at the College de France. Marcel Paul Schutzenberger made brilliant contributions to combinatorics and graph theory. He was simultaneously a medical doctor, a biologist, a psychiatrist, a linguist, and an algebraist.

Mathematics As Sign

Author : Brian Rotman
ISBN : 0804736847
Genre : Mathematics
File Size : 90. 21 MB
Format : PDF, Kindle
Download : 493
Read : 857

Get This Book


In this book, Rotman argues that mathematics is a vast and unique man-made imagination machine controlled by writing. It addresses both aspects—mental and linguistic—of this machine. The essays in this volume offer an insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."

Mathematics And The Aesthetic

Author : Nathalie Sinclair
ISBN : 0387381457
Genre : Mathematics
File Size : 86. 94 MB
Format : PDF, Kindle
Download : 243
Read : 1242

Get This Book


This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Lost In Math

Author : Sabine Hossenfelder
ISBN : 9780465094264
Genre : Science
File Size : 90. 47 MB
Format : PDF, Docs
Download : 379
Read : 646

Get This Book


A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

Mind Over Matter

Author : K. C. Cole
ISBN : 9780547973128
Genre : Science
File Size : 89. 85 MB
Format : PDF, Docs
Download : 403
Read : 895

Get This Book


“Ruminations on every scientific subject over the sun—and plenty beyond it”—from the bestselling author of The Universe and the Teacup (The Boston Globe). A San Jose Mercury News Best Book of the Year A recipient of the American Institute of Physics Award for Best Science Writer, K. C. Cole offers a wide-ranging collection of essays about the nature of nature, the universals in the universe, and the messy playfulness of great science. In witty and fresh short takes, she explores some of the world’s most intriguing scientific subjects—from particle physics to cosmology to mathematics and astronomy—and introduces a few of science’s great minds. Revealing the universe to be elegant, intriguing, and, above all, relevant to our everyday lives, this book is “an absolute delight [that] belongs on the bedside bookshelf of every science enthusiast” (San Jose Mercury News). “Cole seeks the wondrous in the stuff we mistake for just ordinary.” —Publishers Weekly K. C. Cole, the Los Angeles Times science writer and columnist, always has a fresh take on cutting-edge scientific discoveries, which she makes both understandable and very human. Reporting on physics, cosmology, mathematics, astronomy, and more, Cole's essays, culled from her popular Mind Over Matter columns, reveal the universe as simple, constant, and complex—and wholly relevant to politics, art, and every dimension of human life.

Birth Of A Theorem

Author : Cédric Villani
ISBN : 9780374710231
Genre : Biography & Autobiography
File Size : 54. 79 MB
Format : PDF
Download : 188
Read : 1284

Get This Book


In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

How I Wish I D Taught Maths

Author : Craig Barton
ISBN : 1911382497
Genre : Mathematics
File Size : 57. 60 MB
Format : PDF, Docs
Download : 976
Read : 339

Get This Book


Craig Barton is one of the world's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies to save time and energy and have a positive impact on the long-term learning and enjoyment of students.

Top Download:

Best Books