Question

What is the importance of the real number system.

Answer 1

One can construct the real numbers explicitly from other objects in set theory; e.g., the natural numbers. From a strictly theoretical viewpoint the second alternative has an important advantage; it dramatically simplifies the total number of assumptions that are needed to set up a logical framework for mathematics.

Answer 2

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One can construct the real numbers explicitly from other objects in set theory; e.g., the natural numbers. From a strictly theoretical viewpoint the second alternative has an important advantage; it dramatically simplifies the total number of assumptions that are needed to set up a logical framework for mathematics.

ᕼOᑭE IT ᗯIᒪᒪ ᕼEᒪᑭᔕ ᑌ !!(^^)