Wednesday, December 7, 2011

Never Ending Topic (Final summary)

Basically, we all started this class wondering what infinity was all about and everyone thought of it as something beyond our way of life. We compared it to nature by using the movements of the wind, sea waves, grass, human population, and water molecules. We also talked about some form of attributes of infinity which were boundless, irreducible, abstract, incomprehensible and endless, just to mention a few.
After further discussion, Professor Hamman started introducing us to simple way of relating infinity which he taught us One-to-One Correspondence by using two infinity set. Hilbert Hotel also showed us how an infinity hotel can accept each and everyone in the bus who needed a place to stay and the hotel never gets full. Cantor’s array of rational numbers and power set gave us more insight on infinity and we were able to create different subset from the original infinity set which were real numbers and natural numbers.
Zeno’s paradox which was the master of all infinity made everyone thought beyond their scope and Russell Paradox made it easier for us to get the details of the paradox and resolve it on our own. M. C. Escher and other great artist expressed their art in a way that we could express infinity through art work and we were able to identify them ourselves.
Finally, our final project work, the video and our poster summarized all we did in class but unfortunately one of our mirrors got broken with all our effort that evening but we were all happy to end the class with something we can continue to learn more about it. To believe in infinity or not to believe in infinity is the question?
On a personal note, I wish everyone all the best in the exams. We had a good team and everyone contributed in their own special ways. Professor Hamman, thank you for your time. Happy Hanukkah, Merry Christmas to you all and see you next semester if you are not transferring yet!!

3 comments:

  1. It's been a great experience and I learned something (I think). It has definitely been a challenge to get what infinity is/represents on paper. I'm thankful to have had this class and I'm sad to see it come to an end!

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  2. What a journey with the infinite! I look back and laugh but smile at my initial thoughts and views of infinity, which weren't wrong necessarily but very broad and uncertain. We've definitely built some brain muscles from this class. For me, the paradoxes put me in a state of paralysis but I'm glad to have gained a lot from it. IT's pretty awesome to explain some of the things we've learned to friends. Certainly makes one sound smart!! hahaha.

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  3. Yes, as i wrote in my final paper, i learned to look at "infinity" through math, philosophy, and artistic. They were all very interesting although required my brain to explode. As a result, i'm now "cooler" than my close friends. Thanks Yaa for labeling us "the talented group."

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