Which term describes a set that goes on without end, having no finite size?

Which term describes a set that goes on without end, having no finite size?

• A. Finite
• B. Endless
• C. Infinite
• D. Unbounded

Answer: (C)

The main idea is deciding whether a set has a limited size or not. A set that goes on without end and has no finite size is described as infinite. Infinite is the precise mathematical term for a size that cannot be counted with a finite number of elements, like the natural numbers {1, 2, 3, …} which never end. Finite would describe a set with a definite, limited number of elements. Endless is everyday language and not a formal term for a set’s size, while unbounded means not limited but doesn’t itself name a set’s size as infinite. So the best choice is infinite.

The main idea is deciding whether a set has a limited size or not. A set that goes on without end and has no finite size is described as infinite. Infinite is the precise mathematical term for a size that cannot be counted with a finite number of elements, like the natural numbers {1, 2, 3, …} which never end. Finite would describe a set with a definite, limited number of elements. Endless is everyday language and not a formal term for a set’s size, while unbounded means not limited but doesn’t itself name a set’s size as infinite. So the best choice is infinite.