The Incompleteness Phenomenon

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9781568810294: The Incompleteness Phenomenon
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This introduction to mathematical logic takes Gödel's incompleteness theorem as a starting point. It goes beyond a standard text book and should interest everyone from mathematicians to philosophers and general readers who wish to understand the foundations and limitations of modern mathematics.

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Synopsis:

Designed to be the foundation for a two-semester course, this book investigates mathematical logic. Separated from philisophical logic through the use of the mathematical method to investigate and explain, the basic premise of mathematical logic is that every reasonable mathematical system is intrinsically incomplete. There will always be mathematical problems that cannot be solved. This premise forms the basis of Godel's famous incompleteness theorum and is the main paradigm of the book. Exercises are provided at the end of each section to supplement the abstract concepts that are the authors' primary focus.

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Other Popular Editions of the Same Title

9781568810935: The Incompleteness Phenomenon: New Course in Mathematical Logic

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ISBN 10:  1568810938 ISBN 13:  9781568810935
Publisher: Routledge, 1998
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