Other examples of fundamental properties include: - The succession property of natural numbers (each number has a next) - The behaviour of numbers under basic arithmetic operations - The relationship between multiplication and division - The distributive property of multiplication over addition
Wrong.
The succession property is a part of a definition of what natural numbers are.
But the behavior under basic arithmetic operations can be defined recursively (using the succession), like:
Wrong.
The succession property is a part of a definition of what natural numbers are.
But the behavior under basic arithmetic operations can be defined recursively (using the succession), like:
a + 0 = a
a + s(b) = s(a + b)
a × 0 = 0
a × s(b) = (a × b) + a