No.jason177 said:Alright this is a pretty simple question. So if A is a infinite subset of the reals, does that mean that its length is infinite (eg. the set of all numbers from 0 to infinite)
Yes.In fact its length could be zero.or could it also be just a set with an infinite number of terms (eg. the set of all real numbers between 1 and 2)?
jason177 said:Alright this is a pretty simple question. So if A is a infinite subset of the reals, does that mean that its length is infinite (eg. the set of all numbers from 0 to infinite) or could it also be just a set with an infinite number of terms (eg. the set of all real numbers between 1 and 2)?
An infinite subset is a subset of a set that has an infinite number of elements. It is a part of a larger set, but it contains an endless number of objects.
The length of an infinite subset is determined by the number of elements it contains. Since an infinite subset has an uncountable number of elements, its length is considered infinite.
No, an infinite subset cannot have a finite length. By definition, an infinite subset has an infinite number of elements, so its length is always considered infinite.
The terms used to describe infinite subsets include "infinite", "uncountable", "unbounded", and "endless". These terms emphasize the never-ending nature of infinite subsets.
Infinite subsets are used in various areas of mathematics and science, such as set theory, calculus, and physics. They allow for the exploration of infinite concepts and help to solve complex problems involving infinite quantities.