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Philosophy of mathematics asks questions about mathematical theories and practices. It can include questions about the nature or reality of numbers, the ground and limits of formal systems and the nature of the different mathematical disciplines.
24
votes
Why is 2 considered a prime number?
Why is 2 considered a prime number?
This is really a question of terminology. The current notion of an integer that is unrepresentable by a product of other integers is given the name "prime numb …
7
votes
How is 0 defined?
One common formulation of natural numbers is the Peano axioms.
Axiom 1 defines 0 as a natural number.
Axiom 6 states that if n is a natural number, then S(n) is a natural number. This is what allows …