Hi everyone,
When the class started, we elaborated more on some perspective on infinity and we jumped on infinity hotel which gave us an idea of infinite and how it works. After reading my notes I realize some of the attribute come into place when you compare the hotel room situation. Some of them were limitless, irreducible, endless and boundless. I chose this 4 because no matter how the hotel room was filled, it could still take infinite number of people in the bus.
It is limitless because it has beginning but you can never know the end and there is no last person at the hotel room. No matter how you break it down there is more room available to be occupied, small or big doesn't define it so it's irreducible. It is endless or boundless because we added as many infinite buses as we like but they all had a room at the hotel.
We used different method like n-2, 2n-2, 6n-2 etc to make it easy to move people from room one and then it went on and on but at the end of the class I felt like they all come down to some of the attribute or perspective that the class listed. In my point of view infinity is undefined no matter how we think about it; there is always more to it. I was asking myself that if everything in this World is infinite how will the World be like to live in? If no one dies and everyone keeps on living will the World be a better place to live after all? Thanks a lot
Yaa
Yaa, I like the fact that you mentioned infinity is irreducible because it really showed in the example of infinite hotel that we talked about in class last week. Unlike finite, if you add or take a couple of things or even infinity itself away from infinity, it's still infinity, no matter what. And, we definitely saw this in the one-to-one correspondence that was discussed in the reading.
ReplyDeleteInfinity + Infinity; Infinity - Infinity. It seems as though we can do whatever we like with infinity and the result is still the same. We humans are trying to put a "round" obeject (if you will) in a square hole. No matter what you do to it, it just wont fit. We are trying to mold infinity in to a category so we can understand it better. I can see it's attributes and I can rationalize them, but will I get to the point of truly understanding this concept? Are there more attributes that we haven't discussed? I am anxious to find out.
ReplyDelete