I read more about natural and even numbers. I am little confused about that. That thing also confused some of the smarter people of the last millennium. So, there are more even or natural numbers?
If you know natural numbers are
N={1,2,3,4,....}
even numbers={2,4,6,8...}
odd numbers={1,3,5,...}
So, you can see that
N = even + odd in total
Of course, if we count to any finite value of N, then the natural numbers will be twice as many as even numbers. So at first it may seem that this is an easy answer to our question.
But if we start counting even numbers, then we have something like this
2 4 6 8 10 12 14 16… - even numbets
1 2 3 4 5 6 7 8… - natural numbers
So, if you look, for every natural number we have coresponding even number for
1 this is a 2,
2 this is a 4,
3 this is a 6,
....
If you look better you Will see that
EVEN = 2 x NATURAL
So, for every even we have natural number. So, this told as thet we have same number of even and natural number, but how is it possible?
Natural numbers consist of even and non-even. How is it possible that there are as many even and odd numbers together as there are even numbers?
This is a paradox.