Descartes' Dream: The World According to Mathematics (Dover Science Books)
Average customer rating: 2.5 out of 5 stars
  • Interview with Charles M. Strauss
  • Interesting , but doesn't add up to a unified whole
  • surprisingly flimsy
Descartes' Dream: The World According to Mathematics (Dover Science Books)
Philip J. Davis , and Reuben Hersh
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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Similar Items:
  1. The Mathematical Experience The Mathematical Experience
  2. What Is Mathematics, Really? What Is Mathematics, Really?

ASIN: 0486442527

Book Description

These provocative essays take a modern look at the seventeenth-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.

Customer Reviews:

3 out of 5 stars Interview with Charles M. Strauss.......2006-08-08

My favorite part of this book was the interview with CS. As a programmer, it was gratifying to read such a sensible articulation of the profession.

3 out of 5 stars Interesting , but doesn't add up to a unified whole.......2006-02-26

THIS IS A well-intentioned but hardly satisfying book. From various angles it shows the increasing mathematization of our lives - but more importantly it questions the wisdom of placing our faith in this type of orderly, rationalized world.

We have become more mathematically inclined than you probably realize. It has become a given that those fields having a solid mathematical underpinning (e.g. physics and chemistry) have more validity than those that don't (e.g. psychology and sociology). The implications of this belief stretch far and wide. Mathematics has now reached into everything from biology, medicine, astrophysics, and economics to linguistics, musical composition, choreography, and art. The more math a field employs, it is believed, the more valid it must be.

The belief that guides much of modern society is that anything in the physical world can become the subject of a mathematical theory. This was French philosopher Rene Descartes' dream. In 1637 he published his revolutionary "Discourse on Method" which was a methodology for science based on the deductive logic of mathematical reasoning. This meant that since one plus one equals two, and this is a truth that cannot be challenged, then anything that can be put into a mathematical framework would also be true. This view also leads to the belief (as it did for Descartes) that animals - and perhaps humans - are merely complex machines; after all, life itself exists in the physical world.

But where does one draw the line? Certainly some things must be kept outside of the mathematical/computerized realm. Hopefully, emotions, attitudes, literature and the like will never make a successful transition into a computer program.

The authors attempt to create a "heightened awareness of the relationship between humans and the mathematics they have created!" An awareness, they say, "is necessary to shield us from the effects of the revolutionary waves of symbols that are about to wash over us."

However, the approach the authors take in developing this idea is less than satisfying. It pokes and jabs at various aspects of our math-inflicted society but the ideas do not always flow easily into the central theme. This is due to the book's construction, a loosely compiled collection of articles, addresses and taped interviews. Indeed, the authors suggest that readers should "browse at random and read whatever catches their fancy." At 306 pages, it's a good idea; but the result of this, however, is a book that has many interesting parts that often do not add up to any sort of unified whole.

Some of the essays lure you in with an interesting premise but then drown you in page after page of difficult math. By the time you've gotten to the end of the essay you've really forgotten what the point was or where it fits in with the rest of the book.
The message of this volume - that we "are being mathematized at an increasing rate ... and it may not be good for us" - is one that more people should hear.

2 out of 5 stars surprisingly flimsy.......2005-04-23

This book is supposed to cover how math is applied to real world problems, or at least that is what I expected when I got it. Alas, while it tries to address this agenda, there is very little of substance here beyond some rather simplistic assertions of how and why this was done. Sure, math has creeped into most academic disciplines, from hard to social sciences, but that doesn't mean it shouldn't be questioned, which the authors fail to do. As such, what you get is a series of exmaples, none of which I can even remember, some assertions of philosophical relevance, and then not much more than simple convenstional views.

For example, even the title attests to the authors' superficial treatment: Descartes is portrayed as the source of much of the revolution of the physical and other sciences, folllowing his "vision" of unifying the sciences while lieing in an oven to keep warm. Well, I think even that view can be challenged: many scientists I know, while acknowledging his contribution to math with coordinate geometry, would argue that Descartes philosophical writings in fact had little impact on the direction of science - one even told me that it was the French intelligensia that hoped to claim responsibility for the sci revolution then underway. (In this view, the real hero would be Newton.) THe authors' probe none of that. Nor do they question the usefulness of what I see as an overapplication of math to many disciplines, such as political science and even economics in some cases, which may be revealed as little more than academic fashions in the future.

That makes this book the conventional view, over lightly. Not recommended. Mathematicians may like it, but critics of math will not.
Descartes Dream the World According to M
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    Descartes Dream the World According to M
    Philip J Davis
    Manufacturer: Harvester Press Ltd
    ProductGroup: Book
    Binding: Unknown Binding

    GeneralGeneral | Philosophy | Nonfiction | Subjects | Books
    ASIN: 0710811373
    Descartes' Dream The World According To Mathematics
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      Descartes' Dream The World According To Mathematics
      Davis and Hiersh
      Manufacturer: Harcourt Brace Jovanovich, Inc.
      ProductGroup: Book
      Binding: Hardcover
      ASIN: B000NL7RSY
      Descartes' Dream: The World According to Mathematics.
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        Descartes' Dream: The World According to Mathematics.

        Manufacturer: 0
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        Binding: Paperback
        ASIN: B000ICDZSE
        Descartes' Dream: The World According to Mathematics.
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          Descartes' Dream: The World According to Mathematics.
          Philip J. Davis
          Manufacturer: see notes for publisher info
          ProductGroup: Book
          Binding: Paperback
          ASIN: B000M3QZVI
          Descartes' Dream; The World According to Mathematics
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            Descartes' Dream; The World According to Mathematics
            Philip J. & Reuben Hersh Davis
            Manufacturer: Harcourt
            ProductGroup: Book
            Binding: Paperback
            ASIN: B000OJDEXC

            Marine Protected Areas: Tools for Sustaining Ocean Ecosystems
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              National Research Council
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              Serengeti II: Dynamics, Management, and Conservation of an Ecosystem
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                Manufacturer: University Of Chicago Press
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                The Kruger Experience: Ecology And Management Of Savanna Heterogeneity
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                      Ecosystem Management for Parks and Wilderness (Contribution)
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                        A Biological Assessment of Laguna del Tigre National Park, Peten, Guatemala (Conservation International Rapid Assessment Program)
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                          The Laguna del Tigre National Park--a critical reservoir of wetland and tropical dry forest habitats--is currently threatened by human encroachment, out-of-control fires, and hydrocarbon exploitation. This rapid assessment of the region reveals a freshwater reef, two new species of fish, and range extensions for an endemic deer mouse and an aquatic snake, as well as providing detailed observations of the endangered Morelet's crocodile and the first species list for ants and phytoplankton in the park. Of special significance are toxological studies of DNA damage to two fish species, drawing international attention to the potential effects of hydrocardon operations on the park's ecosystems.

                          Ecological Dynamics on Yellowstone's Northern Range
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                            Committee on Ungulate Management in Yellowstone National Park , and National Research Council
                            Manufacturer: National Academies Press
                            ProductGroup: Book
                            Binding: Paperback

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                            The Greater Yellowstone Ecosystem: Redefining America`s Wilderness Heritage
                            Average customer rating: 4.5 out of 5 stars
                            • Comprehensive edited volume on management problems surrounding Yellowstone
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                            • What do the authors think about the nuclear/hazardous waste?
                            The Greater Yellowstone Ecosystem: Redefining America`s Wilderness Heritage
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                            Book Description

                            In this important book experts in science, economics, and law discuss key resource management issues in the greater Yellowstone ecosystem-among them the management of fire, elk, wolves, and bison-using them as starting points to debate the manner in which humans should interact with the environment of this region. Generously illustrated with special archival photographs of the Yellowstone area, it will be the major source of information on this area and a valuable resource for worldwide wildland preservation for years to come.

                            Customer Reviews:

                            4 out of 5 stars Comprehensive edited volume on management problems surrounding Yellowstone.......2007-05-20

                            Like many others,, this book examines ecosystem management in the Greater Yellowstone Ecosystem. (Sidenote: why doesn't anyone seem to study the Greater Yosemite or Smoky Mountain Ecosystems?) The concept of "ecosystem management" has plenty of wrinkles to it - - hence the need for this book - - but the basic idea is to management both processes and outcomes at the level of an entire ecosystem instead of managing individual species.

                            The book focuses on three controversial issues, fire, elk and wolves. However, many other ecosystem issues appear through the book as well.

                            This book is explicitly multidisciplinary, with contributions from lawyers, economists, biologists, and land managers. The contributors address the kinds of topics that you'd want them to address, such as the role of top-level carnivores (wolves and bears), the consequences of elk (over)grazing, forest fire, and the like. The chapters fall into three rough groups - - the first, one the history and policy of the Greater Yellowstone Ecosystem (GYE) concept, varying approaches to ecosystem management, and then particular processes (especially forest fire). The book is intended for the specialist rather than the layman - - but specialists in one discipline won't have any trouble understanding contributions from other disciplines, and advanced-level undergraduates in many fields would be able to read the book.

                            Like any edited volume, the contributions vary significantly in quality. Some authors have a clear view of the "big picture," while others are more limited to their own specialty. The biologists tend to have the greatest tunnel vision, but John Craighead's chapter does a great job seeing biological issues in a larger historical and political context.

                            It's also dated in significant ways, reflecting debates over the northern range of Yellowstone in the 1980s and 1990s. Since the introduction of wolves in 1995, top-down regulation of elk by predators has supplanted the policy of "natural regulation" of elk by food supply that motivated many of these changes.

                            Nonetheless, if you're interested in ecosystem management, or in the management of Yellowstone National Park, you'll want to read this book. It doesn't really address topics outside of these, so the general reader will probably find it frustratingly specialized.

                            4 out of 5 stars Not totally for the layman.......2003-11-13

                            The essays compiled in this book are an excellent resource for someone who is trying to understand the complex issues surrouding the protection of the Greater Yellow Ecosystem. However, a number of the essays, in providing evidence to support the arguments are geared more toward the policy maker or toward the scientist who is gathering background information on the issues.

                            Not all of the essays are written in such a fashion that they are beyond the comprehension of the average reader. Some essays are written clearly and do provide an effective starting point for someone coming into the field to understand the issues surrounding issues such as fire policy or wolf management. Both of which are still hot topics in the region today.

                            Finally, many of the essays are better for understanding a historical perspective to the issues. Wolf reintroduction has occurred and now Wyoming, Montana, and Idaho are looking to have wolves delisted. The essays on wolf management are dated enough that they are a starting point to understand the underpinnings of the issues of today, rather than where we are going in the near future.

                            All in all, if the reader can move past some of the more technical aspects of the book, they will have a better grasp of how and why various management issues are occuring in this wonder of nature.

                            5 out of 5 stars What do the authors think about the nuclear/hazardous waste?.......1999-08-09

                            The DOE plans to build a nuclear/hazardous waste incinerator directly upwind of the Greater Yellowstone Ecosystem, Yellowstone and Grand Teton National Parks. What do the authors think about this recent development?
                            Greater Yellowstone's Future: Prospects for Ecosystem Science, Management, and Policy
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                              Greater Yellowstone's Future: Prospects for Ecosystem Science, Management, and Policy
                              Tim W. Clark , and Steven C. Minta
                              Manufacturer: Homestead Publishing
                              ProductGroup: Book
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