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1 - Introduction to the Paradoxes

from I - A FIRST PASS

Jose Wudka
Affiliation:
University of California, Riverside
John dePillis
Affiliation:
University of California, Riverside
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Summary

Aristotle vs. Galileo

Aristotle (384–322 B.C.) believed that a stone fell toward the earth because the stone and the earth were both in the “Earth” category among the four basic elements, Earth, Air, Fire, and Water. According to this reasoning, smoke, which consists of air and fire, wants to be closer to the sky (air) and further from an unlike element (earth). Hence, earthly objects move naturally toward the earth while “airy” objects move naturally upward. The assumed fifth element, the heavenly substance he called the Quintessence along with an assumed Prime Mover accounted for the “perfect” circular and uniform motion of the heavens. Finally, Aristotle asserted that motion of any object required a continuing force on that object as long as motion persisted.

As if to simplify the discussion, St. Thomas Aquinas (1225–1274) later declared that something is in motion when it is both what it is already and something else that it is not yet. (Apparently, new explanations do not always lead to clarity.)

In a complete departure from the convoluted explanations of Aristotle and Aquinas, Galileo Galilei (1564–1642) claimed that a force was not necessary to maintain constant, straight-line motion. This property is in evidence even today where it can be observed that an object in space will drift along forever without external forces.

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Chapter
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Illustrated Special Relativity through its Paradoxes
A Fusion of Linear Algebra, Graphics, and Reality
, pp. 11 - 42
Publisher: Mathematical Association of America
Print publication year: 2014

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  • Introduction to the Paradoxes
  • Illustrated by John dePillis, University of California, Riverside
  • Jose Wudka, University of California, Riverside
  • Book: Illustrated Special Relativity through its Paradoxes
  • Online publication: 05 September 2014
  • Chapter DOI: https://doi.org/10.5948/9781614445173.003
Available formats
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  • Introduction to the Paradoxes
  • Illustrated by John dePillis, University of California, Riverside
  • Jose Wudka, University of California, Riverside
  • Book: Illustrated Special Relativity through its Paradoxes
  • Online publication: 05 September 2014
  • Chapter DOI: https://doi.org/10.5948/9781614445173.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction to the Paradoxes
  • Illustrated by John dePillis, University of California, Riverside
  • Jose Wudka, University of California, Riverside
  • Book: Illustrated Special Relativity through its Paradoxes
  • Online publication: 05 September 2014
  • Chapter DOI: https://doi.org/10.5948/9781614445173.003
Available formats
×