Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1 - Page 257: 109

Answer

Gödel’s discovery about mathematics and logic tells that there are certain things in mathematics that cannot be said certainly or have exact proofs. On the other hand, Blitzer Bonus tells us that every even number, as large as it can be, can be expressed as the sum of two prime numbers, which has not been proved so as to why this happens. Hence, it can be concluded that Gödel’s discovery was right that certain things in mathematics cannot be proved.
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