English

## Did you know?

### Paradox of even and natural numbers

We would often think that there are more number of natural numbers than the even numbers because natural numbers is comprised of both even and odd numbers.

But can you believe that there are as many even numbers as natural numbers?

This can be proved by making one-to-one correspondence between the natural numbers and even numbers.

1 <---> 2

2 <---> 4

3 <---> 6

4 <---> 8

5 <---> 10

6 <---> 12

7 <---> 14

It goes on... In the above series, every natural number has a even number that is twice as large as it. As well every even number has a natural number that is half of it.

Here we can say that for every natural number there is equal number of even number. So its proved that both the infinite sets are same in size and are called as countably infinite.

#### Latest Facts

##### Math madness 0 by 0 equals to 1 by 2

If this is proved to be correct, everything we have learned in our life so far in Mathematics will g...

##### Benfords law (first-digit law)

This will be one of the world most unexplained phenomena you would ever see. The miracle of numbers ...

##### Monty hall problem

Monty hall problem was named after the American game show Lets make a deal hosted by Monty hall. Its...

#### Related Facts

##### Microwave oven by percy spencer

Percy Spencer, an American Engineer accidentally discovered Microwave Oven while working on Raytheon...

##### Maximum possible chess moves is 10921506 possible position after 7 moves

The number of possibility chess moves after the white move's is 20 (ie 4 knight moves and 16 moves o...

##### John nash - a beautiful mind

A Beautiful Mind is the movie based on the life of john nash, who is said to be Nobel Laureate in e...

##### Time dilation: your twin sibling will get more youthful than you

Your twin sibling will get more youthful than you when he returns from the space travel. If your twi...

##### Grigori yakovlevich perelman a mathematician to solve most difficult problems in topology

Grigori Yakovlevich Perelman is a Russian mathematician, who made a history in Riemannian geometry a...

Daily Maths Topic Today - paradox of even and natural numbers.