In the science of structure, order, and relation otherwise known as mathematics, the successor function is a primitive recursive function S in a way that S(n) = n+1 for n, each natural number.
The successor function is also known as the successor operation and in the context of a zeroth hyperoperation, it is called zeration.
Sn = n + 1
Sn = n - 1
Sn = n * 1
Sn = n/1
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0
1
2
-1
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6
4
5
3
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9
10
5
11
18
20
21
25
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Implementation
Zeration
Zeroth functions
Geometric functions
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Recurrence function
Recursive function
Reorganized function
Inordinate function
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H0 (a, b) = 1 + a
H0 (a, b) = 1 + b
H1 (a, b) = a + b
H2 (a, b) = a * b
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Peano axioms
Richardson axioms
Patt axioms
Corolla axioms
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Real number
Whole number
Integer
Natural number
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