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Jennifer Lee Lawson Infinity. Try for a moment to grasp it. Numbers with no end. Is it that it exists and we cannot grasp it, or is it that it simply does not exist? In this paper, I will argue that infinite cardinal numbers may not exist. I will analyze Cantor’s Theorem to show this. First, I will explain Cantor’s Theorem. Then, I will argue why I believe, when tried for infinite Sets, it is truly possible that he is incorrect. I will argue without using many mathematical or logical symbols, for ease of reading. Cantor’s Theorem is well known in mathematics, logic and philosophy of mathematics. It is a theorem in Set Theory. In the end, Cantor’s Theorem aims to show there is no largest cardinal number. In other words, there is no largest infinity. The concept of infinity is taught, in the United States, in public schools in our Math classes. On our finite chalkboards, we use < — > to symbolize numbers that go on forever in both directions. Infinity, the concept, how...
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