INFINITE definition: 1. without limits: 2. extremely large or great: 3. something that has no limits, such as the…. Learn more. The Sierpiński triangle contains infinitely many (scaled-down) copies of itself. Infinity is something which is boundless, limitless, endless, or larger than any natural number. It is denoted by ∞, called the infinity symbol. From the time of the ancient Greeks, the philosophical nature of infinity has been the subject of many discussions. In the 17th century, with the introduction of the infinity symbol [1] and the infinitesimal calculus, mathematicians began to work with infinite series ... To find out if your web browser supports JavaScript or to enable JavaScript, see web browser help. The meaning of INFINITE is extending indefinitely : endless. How to use infinite in a sentence.