The successor of the integer 1 is 0.
Step 1: “Successor” means the next number on the number line.
Step 2 (Rule): ( ext{Successor}(n) = n + 1)
Step 3 (Apply to 1):
( ext{Successor}(1) = 1 + 1)
(= 2)
Step 4 (Why 0 is wrong): 0 is the “predecessor” of 1, not the successor.
( ext{Predecessor}(n) = n - 1)
( ext{Predecessor}(1) = 1 - 1 = 0)
Conclusion: The statement is false. The successor of 1 is 2.