In modern mathematics, the continuum is endowed with two meanings: 1. There is no minimum quantity; that is, for any given minimum quantity, there is always a smaller quantity (if a minimum quantity singularity is allowed to exist, the continuum will become a noncontinuum). 2.This continuum can be divided into parts of comparable size. For example, line AB, as shown in Figure 7, has points A and B that can be referred to as breakpoints. However, in axiom 3, breakpoints such as AB do not exist. A continuum is one quantity whose two ends extend to an infinite distance and cannot be divided into smaller parts.