The concept of infinity has been an important component in the history and advancement of the knowledge in the areas regarding mathematics and philosophy since the beginning of the fourth century BC. The ancient Indian and Greek civilizations initially approached the concept of infinity from more of a conceptual philosophical aspect, rather than as a strict mathematical element. Ancient scholars, such as Aristotle, developed the foundations of the elements in infinity. Through the past several millenniums, the concept of infinity has been expanded and incorporated into the modern field of advanced infinitesimal calculus and the complex paradoxical philosophy in logic.
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