Math 108.2 Enrichment Paper

569 Words2 Pages

Trevor Gillhouse

Math 108

2/16/17

Enrichment Paper #1

My favorite quote of all time in the Toy Story series, is something that Buzz Lightyear said- “To infinity and beyond!” For this paper, I decided to read a chapter in a book named To Infinity and Beyond by Dr. Kent A. Bessey. In this book, he explains about how the number infinity can be comprehended and can be counted. He explained this through something called cardinality, through the Counting Theory, and through different dimensions.

Dr. Bessey went on and on about this law called Cardinality and how is refers to the number of elements in a set. “Through pairing, we can determine whether the cardinality of a set is less than, more than, or the same as the cardinality of another set …show more content…

My professor told us that we can comprehend God through finite numbers even though he is infinite. I have always wondered how. After reading more of this book I figured out how. Some infinite sets are tremendously larger than others and how Dr. Bessey explains it, he says, “We have already shown that the power set of {1, 2, 3} contains 23 or 8 subsets. Using the general formula, we conclude that the power set of {1, 2, 3, 4} contains 24 or 16 subsets; the power set of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} contains 210 or 1,024 subsets; and the power set of {1, 2, 3, 4, . . . , 100} contains 2100 or 1,267,650,600,228,229,401,496,703,205,376 subsets, which is more than one million trillion trillion. Exploring further, we discover that the power set of {1, 2, 3, 4, . . . , 1000} contains 21000 subsets, where 21000 equals a number that has 302 digits! Thus, by means of the power set, any finite set can be used as a stepping-stone to build another, much larger, finite set.” It is so crazy to me to think that we can understand infinity and even eternity by using finite numbers. Not only that but we can understand the eternities by understanding dimensions as

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