infinity

... This theorem is valid based on the "Validity of Proof by Contradiction." In 1895, a German mathematician by the name of Georg Cantor introduced a way to describe infinity using number sets. The number of elements in a set is called its cardinality. For example, the cardinality of the set {3, 8, 12, 4} is 4. This ... before it arrives at the end. And, of course, it must traverse the half of the half before it reaches the middle, and so on for infinity." Another argument that he stated was that, " If Achilles (a Greek Godlike person) can run 1000 yards a minute, he will never overtake a t...

• Word Count: 992
• Approx Pages: 4
• Grade Level: High School

... , but how do we know that there are 1,000 and not 900. The reason is humans have no experience with a number that large. Trying to visualize infinity in our heads is impossible. Imagine performing an act an infinite amount of times, for instance running, is not possible. As Suber states, "We only experience ... not made out of paper, you would not have any idea that I was describing a basketball. Here is an example similar to the one in class to understand infinity that I can relate. I am an intern for the Spokane Chiefs Hockey Club. An intermission promotion that we do is Chuck-a Puck, ...

• Word Count: 795
• Approx Pages: 3
• Grade Level: High School

... Once of the sources I used was my mother. She is a recently retired 2nd grade teacher, and when I asked her what I should teach children about infinity, she said that little kids are much smarter than we think sometimes, she told me that she used very basic ideas, and simply enough, she told them that ... infinity is something that goes on forever, and doesn't stop. So I had an idea, I thought it might be a good idea to introduce infinity to them, by showing them a globe, and asking them to "walk" around the globe, until ... I will explain to them that if I add 1 to all of those numbe...

• Word Count: 708
• Approx Pages: 3
• Has Bibliography
• Grade Level: High School

... is not for those who are afraid of heights! There was at one point in time, a tree that was growing from the roof of the Infinity Room's farthest point. This tree remained growing there until a couple of years ago when severe weather made it tumble 156 feet to the forest floor. Before ... construction of the Infinity Room began, Alex Jordan had a twelve ton concrete and steel bridge built in order to connect the rock that the house was built on, and ... the rock right next to it. The actual Infinity Room was built in a telescoping manner. That is the first section of the room was made ...

• Word Count: 1602
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

... false. For example, a table is brought into being by a carpenter, who is in turn caused by his parents. Evidently, we cannot go on to infinity. Therefore, one is forced to suppose some first efficient cause, to which everyone gives the name "God". In summary, Aquinas" second way states that no ... weak points. To begin with, consider Aquinas" first way, the Argument from Motion. Aquinas says that the line of movers cannot go on to infinity, which common sense would tell you to be true. He thus establishes the arbitrary endpoint of God. A problem arises in that this argument could always...

• Word Count: 2350
• Approx Pages: 9
• Has Bibliography
• Grade Level: High School

... result of activity of other things. These causes are in fact the result of yet other activities. Yet this causal series cannot go back to infinity, hence there must be a first member. This first member is not caused by any preceding member, and hence labeled God. What frequently gets ... of causes, this would still not do away with the need for a first cause. "Every object has a phenomenal cause, if you insist on the infinity of the series. But the series of phenomenal causes is an insufficient explanation of the series. Therefore, the series has not a phenomenal cause, but a transcend...

• Word Count: 3256
• Approx Pages: 13
• Grade Level: High School

... result of activity of other things. These causes are in fact the result of yet other activities. Yet this causal series cannot go back to infinity, hence there must be a first member. This first member is not caused by any preceding member, and hence labeled God. What frequently gets ... of causes, this would still not do away with the need for a first cause. "Every object has a phenomenal cause, if you insist on the infinity of the series. But the series of phenomenal causes is an insufficient explanation of the series. Therefore, the series has not a phenomenal cause, but a transcend...

• Word Count: 4014
• Approx Pages: 16
• Grade Level: High School

... 1. The embryonic stage As early as in the ancient Greeks (3rd - 5th century B.C.), people already started to discuss about the concepts of "infinity", "limits" and "infinite partitions". These are all crucial concepts in the theory of differentiation and integration. Despite the fact that some of these ... discussions were absurd from a modern logical point of view, they are remembered as the first human attempt to understand the concepts of infinity and limits, which paved the way to the subsequent development of calculus. For example, in the ancient Chinese text Zhuangzi, there was .....

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... her hand. As she tries to touch the sky with her hand, she becomes overwhelmed and realizes that it goes on into infinity. Becoming overwhelmed by the thought of infinity, Edna St. Vincent Millay tries to relate her awareness of infinity to a total sense of compassion for all mankind. As she does this, she talks about a man who is starving in Capri. Edna ... able to understand the essence of God. Edna St. Vincent Millay uses a unique strategy in developing her understanding of compassion, the world around her, and God. This strategy, peering into infinity can be traced and understood by...

• Word Count: 942
• Approx Pages: 4
• Grade Level: High School