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5 Ways How Artificial Intelligence Will Impact Our Future

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How Big Is Infinity

 Infinity! a wondering topic to discuss. How can we define an endless, limitless subject. Infinity is a complicated as well as a simple topic. An interesting topic with various topics and logic. Infinity refers to something that is uncountable, unmeasurable, and a thing that is beyond our thinking. We can say that space is infinite. We don't know how big is the universe is. Today we will discuss this weird but interesting topic. So let us get started.



Infinity mainly represents the idea of the boundless, limitless thing, that we can't count. But we can just wonder. For example, we can talk about the numbers. The number lines can be infinite. We all know that we can count as far as we want. For the number line, we can discuss its two types which are countable infinity and absolute infinity.

1. Countable Infinity

The set of numbers is endless. But we can assign them to each one and still count them. Actually, we can easily count them. If it extends to infinity still we can count them. 

2. Absolute Infinity

To understand absolute infinity first we have to go by division. 

What is the division of 1/3?

Its .3333333........ and so on. In the number line we can see this type of nature in the division part. Between the numbers the infinite numbers exist. When we will divide the small number by a larger number the infinite thing will arise. 


We can also understand infinity in some situations. I have mentioned some of the situations below. 

Situation 1

(Infinite Hotel Paradox)

This is based on David Hilbert's theory about infinity. Using infinity he created a paradox, which is called the grand hotel paradox or the infinite hotel paradox. In this situation, a guest comes at night to the hotel but there was no room left. All the rooms were booked. The manager of the hotel was a mathematician. So he found a mathematical solution. He told the people in each room to move to the next room. So everyone did according to him. So the man of the 'n' number room will transfer to the n+1 number room. The final result was the first room was empty. But how did this happen? The hotel was infinite, right. So the n+1 is still infinite. So the guest got his room.


Situation 2

A bus of infinite length with infinite guests

In this situation, we have to create infinite in infinite. We know that multiplying any number by 2 always gives an even number. So we will multiply n by 2 and we will get 2n. So we will tell people to go to other rooms which have twice the number than their current room number. So everyone will go to the 2n number room. We know that in number line 2n number is infinite as well as odd numbers. So when the new guests will come we will tell them to settle in the odd number of rooms. It is as simple as this.


To know more 

 How Big Is Infinity

Reference:https://en.wikipedia.org/w/index.php?title=Special:Search&search=what+is+infinite&fulltext=1&profile=default&wprov=srpw1_dym1



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