Short week
To start, I'll give you the intro from the paper I wrote over the weekend...
It would seem against our own intuition to associate a size with infinity. So often infinity is defined by an opposite approach; infinity is that which is uncountable, immeasurable, and so on. However, it would also seem natural that for certain infinite collections, one collection could be of a different size or magnitude than the other, i.e. the real numbers and the natural numbers. Common language relies on such words as greater and less than or larger and smaller than to compare two objects of different sizes. And while these comparisons have an exact meaning in terms of the finite, they do not seem so coherent in this infinite application. Thus, it is necessary to examine how these words can relate to various sizes of infinity, and perhaps append something to their definitions, so they can be more precisely used in such discussion.
Yea, think about that for a while.
I bought an iPod shuffle the other day, it's pretty cool, and it forces me to use iTunes, which I was mad about at first, but now I'm sort of indifferent.
A lot of work was done last week, and yesterday, and today, so I'm pretty much done until I go home. It's going to be weird going home for Easter and my mom not being there, but I'm coming back early to support the RCIA kids that are being baptized. So whatever.
Confirmation in a week and a half. That's insane.
And if I don't get my masters degree at Nova, I'll have five empty course slots senior year. Even after double minoring. Wow.
It would seem against our own intuition to associate a size with infinity. So often infinity is defined by an opposite approach; infinity is that which is uncountable, immeasurable, and so on. However, it would also seem natural that for certain infinite collections, one collection could be of a different size or magnitude than the other, i.e. the real numbers and the natural numbers. Common language relies on such words as greater and less than or larger and smaller than to compare two objects of different sizes. And while these comparisons have an exact meaning in terms of the finite, they do not seem so coherent in this infinite application. Thus, it is necessary to examine how these words can relate to various sizes of infinity, and perhaps append something to their definitions, so they can be more precisely used in such discussion.
Yea, think about that for a while.
I bought an iPod shuffle the other day, it's pretty cool, and it forces me to use iTunes, which I was mad about at first, but now I'm sort of indifferent.
A lot of work was done last week, and yesterday, and today, so I'm pretty much done until I go home. It's going to be weird going home for Easter and my mom not being there, but I'm coming back early to support the RCIA kids that are being baptized. So whatever.
Confirmation in a week and a half. That's insane.
And if I don't get my masters degree at Nova, I'll have five empty course slots senior year. Even after double minoring. Wow.