The New Renaissance: Computers and the Next Level of CivilizationThe electronic computer, argues Douglas Robertson, is the most important invention in the history of technology, if not all history It has already set off an information explosion that has changed many facets of civilization beyond recognition. These changes have ushered in nothing less than the dawn of a new level of civilization. In The New Renaissance, Robertson offers an important historical perspective on the computer revolution, by comparing it to three earlier landmarks of human development--language, writing, and printing. We see how these three inventions changed how we capture, store, and distribute information, and how each thereby triggered an information explosion that transformed society, ushering in a new civilization utterly unlike anything before. But history has never seen a revolution on the scale of the one being sparked by computers today. What can we expect from the most important technological breakthrough in human history? Robertson lays out possible scenarios regarding transformations in science and mathematics, education, language, the arts, and everyday life. School children, for instance, will forsake pencil and paper for keyboard and calculator, much as their forebears forsook clay tablets and abaci for pencil and paper. In films, the computer simulations of Jurassic Park could be eclipsed by "synthespians," artificial actors indistinguishable from living ones. Whether one is a computer enthusiast, a popular science buff, or simply someone fascinated by the future, The New Renaissance provides a breathtaking peek at the magnitude of changes we can expect as the full power of computers is unleashed. |
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Page 78
... number . In fact , infinity is a lot of numbers . As we shall see , there is more structure among the infinite ( or transfinite ) numbers than there is within the more con- ventional finite numbers . But the transfinite numbers need a ...
... number . In fact , infinity is a lot of numbers . As we shall see , there is more structure among the infinite ( or transfinite ) numbers than there is within the more con- ventional finite numbers . But the transfinite numbers need a ...
Page 82
... transfinite number of elements we have to make the argument with more care ... numbers ) No. It then follows that : 200 = ןא וא 2 = כא 3 א 3 = 22 An ... transfinite numbers ? Or have we missed any ? In particular , Cantor asked whether ...
... transfinite number of elements we have to make the argument with more care ... numbers ) No. It then follows that : 200 = ןא וא 2 = כא 3 א 3 = 22 An ... transfinite numbers ? Or have we missed any ? In particular , Cantor asked whether ...
Page 83
... transfinite numbers . In an uncanny echo of Euler's and Turing's questions , mathematicians asked whether there are infi- nite numbers that cannot be ... numbers ( including the irrationals ) contains a larger infinity UNCOMPUTABLE NUMBERS.
... transfinite numbers . In an uncanny echo of Euler's and Turing's questions , mathematicians asked whether there are infi- nite numbers that cannot be ... numbers ( including the irrationals ) contains a larger infinity UNCOMPUTABLE NUMBERS.
Contents
Introduction | 3 |
Theories of Everything | 37 |
in Science and Mathematics | 57 |
8 other sections not shown
Common terms and phrases
ability able advantage allow already answers arithmetic base basic become beginning binary bits calculation Cantor century changes chapter civilization complete computer technology computerized construct contain conventional course create critical decimal difficulties digits discovery earlier effects elements eliminate English entire essentially example exist explore expressed fact finite fundamental future growth human idea impact important increase infinite instructional integers interesting invention involved language less Level limits mathematicians mathematics methods musical noted original performance perhaps physics possible present Press printing problems produced proof prove puter quantity quartal question rational reading reason records require revolution rules scale scientific similar simple skills solution square standard tasks tech techniques theorem theory things tion translation Turing understand universe writing