Hello, Welcome to London. Did you visit the infinity pool? It is utterly amazing. Oh, yeah, during my stay in London, my mind flashed with some questions. What is the science behind the limitless and the mind-blowing facts on infinity? I did some research, and may I say they were truly amazing. Why don’t I tell you while we walk to the infinity pool. Onward we go! Wait, you may need to pack some snacks! Its 30 minutes on foot.
What is the science behind the limitless- Mind-blowing facts on Infinity
Infinity is a concept, not a number. Infinity is limitless and has no end. It is a continuous process. Infinity may seem confusing, but beyond doubt, it is incredible. The first Greek philosopher to work on the concept of infinity was Zeno of Elea(490-430 BC). Zeno introduced infinity to the west. Over the next few centuries, many philosophers made contributions to the idea of the boundless. You cannot name any phenomenon that will give it a limit. Infinity has no limit. Infinity is hard to find in the real world. Some think that space is infinite, but actually, no one knows. It may be like a sphere that has no end and is infinite. Another way to look at it is if we split an atom, we can keep on going for ages. Maybe, an example from our kitchen would support this concept. When we cut a noodle, the smaller pieces of noodles can be cut to fine pieces. This goes on until we are afraid to chop our fingers, but in our minds, we are sure that it goes on. Infinity also impacts our lives when we make decisions. There are infinite possibilities for a question. To me, Infinity means hope. What does infinity mean to you? Please tell us in the comments.
There are many ways to picture infinity, but here we will discuss some to understand the limitless or infinity. We think about infinity as an idea or a phenomenon that is an unreachable number. It is not a quantity, but quality in itself used to explain situations that don’t seem to end. Mathematicians today try to use different scenarios to change or to understand better what is infinity. This makes sense because as we research at the same angle, our knowledge pool becomes constrained. These mind-blowing paradoxes on infinity will assure you that infinity is limitless. If you would like to test these amazing and stunning paradoxes yourself, please be my guest.
Well-known, puzzle called the Russ Littlewood paradox or also called the Balls in the Urn Paradox. We find an answer to this puzzle by beginning to write numbers one through ten on a piece of paper. Then, we will have to erase the smallest number, which will be one. Then again, erase the smallest number, which will be number two. Then we will write the numbers eleven through twenty. Then we again erase the number three and then add the numbers twenty-one through thirty. We keep on doing this until we end up in a blank sheet of paper. Spoiler alert: In the end, you will end up with a blank piece of paper! If each number is named 'n' is erased and 9n numbers still on the sheet. There is no limit to the value of 9n. At some point, the number written on the paper will be erased as n →∞. As n=∞ and the process is infinite and never ends.
How Big is Infinity?
How big is Infinity is a question that needs to be investigated to understand the concept of infinity. When we compare the infinity of decimal to an infinity of a whole number, the infinity of a decimal number will be greater. A remarkable proof was given by George cantor(1845-1918). Have you ever tried writing all the possible real numbers between 0 and 1? You will quickly find out that it is impossible. The decimals tend to move towards infinity. As it is rightly said, that infinity is bigger then we can imagine.
Let me take a quick minute to explain this unique method by George Cantor on infinity. Shall I begin? First, we put all the fractions into a neat grid. For example, we can find the fraction 123/456 in the 123rd row and the 456th column. See they are all here. So we start at the top left corner and circle and swooping back and forth diagonally. Skip all the numbers which you have already circled. For instance, if you have already circled 1/1 then you don’t need to circle 2/2 or 3/3 or it can keep going on forever. How we can see that we can give each number a decimal.
Have you heard about irrational numbers? They are represented as infinite not going to end any time soon decimals. For example, there is π and √2, and so on. Like, fractions we can make all the decimals line up with the whole numbers. Is it possible to make a list of all the irrational and rational numbers? Mr. Cantor explains how this is impossible. Suppose your friend has declared that he or she has made a list of all the rational and irrational numbers. You can prove he or she is wrong by just making up a decimal. So decimal numbers have a bigger infinity and represent an infinity that is bigger than the infinity of whole numbers. There are infinite sets of infinities of different shapes and sizes. Not all infinities have the same sizes.
Some fun fact:
Any number divided by 0 is ∞
0/0=∞
Let’s split the equation
=> (0/1) *(1/0)
=> 0*∞
=> 0, anything multiplied by 0 is 0
Just by splitting the expression, we got 0 instead of ∞
Find where I went wrong, and I would love to hear your answers as comments.
Did you have fun learning about infinity? In conclusion, what infinity means is up to you to decide, but the end is not coming anytime soon. Infinity comes in all sizes. Surprise, we are here at the Infinity Pool. Wow! This is a sight. Infinity is a marvel which stuns the world and amazes as you think about it. Enjoy your wonderful stay in England. This topic infinity is endless and maybe I will write more on this. Don’t forget to send some pictures. Bye! Hope to see you next time!
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