One of the Axioms of Peano's numbers is that 0 is the successor of all other whole numbers. True False

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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One of the Axioms of Peano's numbers is that 0 is the successor of all other whole numbers.

True
False
 
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Step 1

False

  • Zero is a natural number.
  • Every natural number has a successor in the natural numbers.
  • Zero is not the successor of any natural number.
  • If the successor of two natural numbers is the same, then the two original numbers are the same.
  • If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.
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