**What do you know about infinity?**

Currently, what I now is that there can be different sizes of infinity, and although it makes your head hurt, it is possible to somewhat calculate infinity. I also know that there is a way to have infinity as a sign in some formulas, however what I do not know is how to calculate the formulas. That is something that I wish to learn.

**What new things have you discovered?**

Before, all I thought infinity was was just some sort of way to explain the fact that numbers can go on forever, just to not make our brains hurt. Then, I saw it as a sign in a formula and I realized that it actually meant a lot more than just that. What I discovered is that there are many ways to measure infinity. Although it is “infinite” and can go on forever without a clear ending, there are a lot of interesting and mind-blowing ways that I learned that mathematicians have created so that it is easier to calculate infinity.

**How can you explain/makes sense of different sizes of infinity?**

For me, it is a little easier now to wrap my head around the fact that infinity can be different sizes, so how I make sense of it is that I imagine people just picking up handfuls of numbers, just like when I pick up sand, because the number of sand pebbles are almost, or at least they seem, infinite. I can pick up different sizes of sand handfuls, so that must mean that I can “pick up” many different sizes of infinite numbers, too.

**What are countable infinities? What are non countable infinities?**

From what I have understood, a countable infinity is basically all the numbers that you can count, or at least the numbers that you can imagine in a pattern (like if you were to double every number, you can imagine the answers). Non-countable infinities are all the other infinities that are usually either impossible to count, or they are so long that it would take forever to figure them out.

**What questions do you still have about infinity?**

I think that my only question about infinity is how many different was there are to “measure” infinity. I learned quite a few that I though were quite interesting, however I know that with the numerous amount of mathematicians who have tried to count infinity, there must be millions of ways to do it.

Good job with this assignment! You did a great job answering every question even though it wasn’t mandatory. you did a good job explaining every answer in detail and it made a lot of sense. The example you used for different sizes of infinity was really good except that there is a definite number of grains of sand as with infinity there is an infinite amount of numbers, although it was still a great example, it wasn’t as accurate. Great job with your effort on this assignment.