a history of the circle mathematical reasoning and the physical universe

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A History Of The Circle

Author : Ernest Zebrowski
ISBN : 0813528984
Genre : Mathematics
File Size : 49. 47 MB
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Ranging from ancient times to twentieth-century theories of time and space, looks at how exploring the circle has lead to increased knowledge about the physical universe.

Landscape Of The Mind

Author : John F. Hoffecker
ISBN : 9780231518482
Genre : Social Science
File Size : 60. 9 MB
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John F. Hoffecker explores the origin and growth of the mind, drawing on information from the human fossil record, archaeology, and history. Hoffecker argues that, as an indirect result of bipedal locomotion, early humans developed a feedback relationship among their hands, brains, and tools, evolving the capacity to externalize thoughts in the form of shaped stone objects. When anatomically modern humans evolved a parallel capacity to externalize thought as symbolic language, individual brains within social groups were integrated into a neocortical internet, or super-brain, thus giving birth to the mind. Noting that archaeological traces of symbolism coincide with evidence for the ability to generate novel technology, Hoffecker contends that human creativity, as well as higher-order consciousness, is a product of the collective super-brain. Hoffecker equates the subsequent growth of the mind with human history, which began in Africa more than 50,000 years ago. As anatomically modern humans spread across the globe, adapting to a variety of climates and habitats, they redesigned themselves technologically and developed alternative realities via toolmaking, tool use, and artistic expression. Hoffecker connects the rise of civilization to a hierarchical reorganization of the super-brain, triggered by explosive population growth. According to him, subsequent history reflects the varying degrees to which rigid hierarchies of states and empires suppressed the creative powers of the mind, constraining the further accumulation of knowledge. The modern world emerged from the fragments of a collapsed empire after 1200 AD. In the final chapter, Hoffecker speculates on the possibility of artificial intelligence and a mind without biology.

Library Journal

Author :
ISBN : IND:30000070269174
Genre : Libraries
File Size : 30. 92 MB
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Author :
ISBN : UCSC:32106015639989
Genre : Best books
File Size : 74. 12 MB
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Mathematical Reviews

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ISBN : UVA:X006088869
Genre : Mathematics
File Size : 26. 57 MB
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Author :
ISBN : UOM:39015078443754
Genre : Science
File Size : 37. 49 MB
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The Saga Of Mathematics

Author : Marty Lewinter
ISBN : UOM:39076002809023
Genre : Mathematics
File Size : 38. 68 MB
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This inexpensive paperback uses lively language to put mathematics in an interesting, historical context and points out the many links to art, philosophy, music, computers, navigation, science, and technology. The arithmetic, algebra, and geometry are presented in a way that makes them relevant to daily life as well as larger issues. Topics include: Oh So Mysterious Egyptian Mathematics; Mesopotamia Here We Come; Those Incredible Greeks; Greeks Bearing Gifts; Must All Good Things Come to an End?; Europe Smells the Coffee; Mathematics Marches On; A Few Good Men; A Most Amazing Century of Mathematical Marvels!; The Age of Euler; A Century of Surprises; Ones and Zeros; Some More Math Before You Go.

The Liar Paradox And The Towers Of Hanoi

Author : Marcel Danesi
ISBN : UCSC:32106019047965
Genre : Mathematics
File Size : 76. 57 MB
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A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from Königsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ

The Puzzle Instinct

Author : Marcel Danesi
ISBN : UOM:39015055203148
Genre : Language Arts & Disciplines
File Size : 70. 9 MB
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Publisher Fact Sheet Recalling Stephen Pinker's The Language Instinct, the author argues that humans are born with an "instinct for puzzles" that betrays a larger search for the meaning of life. This "instinct" has led to discoveries in mathematics and science, as well as revolutions in philosophical thought.

Current Contents

Author : Institute for Scientific Information (Philadelphia)
ISBN : 01633155
Genre :
File Size : 59. 1 MB
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