Is it true that.999…=1? Is it possible to disassemble a sphere and reassemble it into two spheres of equivalent size? Is it impossible to prove the consistency of mathematical systems? Yes, the answer to each of these questions is, to many people’s surprise! And paradoxes can be found at the center of any question.
For millennia, paradoxes have molded mathematics and led the advancement of the field of mathematics. From the ancient paradoxes of Zeno to the current paradoxes of Russell, paradoxes serve as a continual reminder of the need to reevaluate our understanding of mathematical concepts. As a result, paradoxes are extremely essential in science.
Mathematical Paradoxes: Guiding Forces in Mathematical Exploration is a collection of mathematical paradoxes that cover a wide range of themes, digging into each dilemma from the perspectives of mathematics, philosophy, history, and other disciplines. The reader will obtain a comprehensive understanding of how paradoxes have contributed to and led the advancement of mathematics in a variety of ways. As an added bonus, Paradoxes offers the reader with a compelling argument in support of the inclusion of paradoxes in education. Everyone who has a high school background in mathematics will find this information to be useful. This book will appeal to any reader who is looking for a mathematical and philosophical challenge, as it is both entertaining and enlightening.