Paradoxes: Guiding Forces in Mathematical Exploration
Description : A riveting account of paradoxes and their impact on mathematicsDoes .999... equal 1? Can a sphere be reassembled into two identically sized spheres? Is the consistency of mathematical systems unprovable? Surprisingly, the answer to all of these questions is yes! And at the heart of each question, there lies paradox.&nbspFormillennia, paradoxes have shaped mathematics and guided mathematical progress. From the ancient paradoxes of Zeno to the modern paradoxes of Russell, paradoxes remind us of the constant need to revamp our mathematical understanding. It is for this reason that paradoxes are so important.&nbspPardoxes: Guiding Forces in Mathematical Exploration provides a survey of mathematical paradoxes spanning a wide variety of topics delving into each paradox mathematically, philosophically, and historically. Listeners will gain a full picture of how paradoxes have contributed to and guided the progress of mathematics in many ways.&nbspPardoxes also provides the listener with a robust argument for the inclusion of paradoxes in education. This is all presented in a way that is accessible to anyone with a high school background in mathematics! Entertaining and educational, this book will appeal to any listener looking for a mathematical and philosophical challenge.PLEASE NOTE: When you purchase this title, the accompanying PDF will be available in your Audible Library along with the audio.