Introduction, the natural numbers. Flashcards
1
Q
What represents the set of natural numbers?
A
ℕ - {1, 2, 3, … ,n}
2
Q
What are the four axioms defining the natural numbers including zero?
A
3
Q
What is the following known as?
A
The Principle of Mathematical Induction.
4
Q
What is the principle of mathematical induction?
A
5
Q
What are two principle of mathematical induction variants?
A
6
Q
Define addition and multiplication of numbers in ℕ0 with S(a) = a+1.
A
7
Q
What is the set ℤ?
A
Set of integers:
8
Q
What is the set ℚ?
A
Set of rational numbers:
9
Q
What is the proposition about the well-ordered principles (WOP)?
A
10
Q
Prove the following proposition.
A
11
Q
A
