So, this week, I will write about something a bit different. I will be talking about a math concept commonly known as “infinity”.
Most people see infinity as a sideways 8, the common symbol. However, infinity has different levels. The first level of infinity is…….
This is the first “smallest infinity”. This is the number of all natural numbers there are. Also, all even numbers. Also, all odd numbers. Also, all rational numbers. This is the number that is equal to the sum of every single number possible.
But what if you have an ℵ0 number of lines, and then you draw one after all those lines?
Would it be a ℵ0 + 1? No. It would still be ℵ0, but you just start from the one after. But what if you had to show the lines in the order that it were drawn? Then it would be ω (omega). This number does not contribute to the total, but is after ℵ0. Congratulations, you have just passed infinity. After ω, it is ω + 1, then +2, then so on, then, skipping x2 and so forth, you get ω1. Then, ωω… No problem. This is just ε0. But what if there is a level of infinity, so high, that no amount of lower infinities caould reach it.
Such a number is called an inaccessible cardinal. The symbol? θ. This is a number so infathobly large that is would be impossible to reach. Interestingly enough, a shadow of this number has already been found. ℵ0. Nothing can also reach it from below.
Congragulations. You have reached infinity.
So, if you have ever felt the feeling of acing a test or feeling so sad if you fail one, you know firsthand why I think this way. I think grades are one of the most important things in life (after God and family).
First of all, tests and quizzes have completely different feelings. 100s on quizzes are not rare, and that is what you are expecting out of yourself. However, tests are completely different. For one, they are not as commonplace as tests, and 100s are not that easy to come by. The feeling when you ace a test, especially a math test, is unmatched with any other feeling that day. Unfortunately, there is usually that one place where you put a +2 instead of a -2 into your calculator that prevents you from getting a perfect score. I don’t know about you guys, but for me the only reason on why I don’t get a question right is because of one or two misprints or handwriting mistakes. The feeling isn’t just for math tests either. Chair tests in orchestra probably have just as much or even more suspense than math tests, and don’t even get me started on region results.
Secondly, if your parents are anything like mine, they will probably congratulate you for getting an A, but just 2 points lower into the 80s, they berate you for days. Mostly, you are hoping to get a good grade so that you can escape the lecture that is sure to follow if you don’t get an A.
Finally, you always have a deep rooted feeling that what you do now affects your future. Even though this is completely false, you are afraid that your average now will change whether or not you can get into your dream college. No one looks at your 7th grade report cards in college, but you are worried that it symbolizes that you are not smart.
If you are like this you have definitely experienced this before, and if you are not, I hope you enjoyed looking into the mind of a grade freak.