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In this post, we will study several important examples of set. The elements of these sets are all numbers. Notations are:

\mathbb{N}: Natural numbers.

\mathbb{Z}: Integers.

\mathbb{Q}: Rational numbers.

\mathbb{R}: Real numbers.

\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R}.

Also, assume the addition (加法) and multiplication (乘法) of integers, i.e., 1+1=2, 3-5=-2, 4 \cdot (-2)=-8. Now we can start to develop these number systems (sets).

1. Natural numbers

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