# Definition of an Infinite Set

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The definition of an infinite set is a set that has infinite numbers, either countable or uncountable. Learn about examples of an infinite set, such as all integers or all real numbers, with information from a tutor in this free video on math.

Part of the Video Series: Math Lessons
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## Video Transcript

Hi, my name is Samir Malik and I'm a tutor for middle school and high school students. Today we are going to be discussing the definition of an infinite set. Now, an infinite set is a set which has infinite numbers, and in other words, it is not a finite set, and these numbers can be countable or uncountable. Examples will include a set of all integers. So, for example, negative, negative numbers and positive whole numbers would be a set of all integers, this would be set of an infinite set. Another example of an infinite set would be all real numbers. So this would be any number you could think of would be classified in that set of an infinite set because there is no end to it, it is not finite. This is a definition of an infinite set, and some examples as well of an infinite set.

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