Surpassing infinity?

[isamu]

I heard the following story: There was a statement made by a teacher that there is no number after ininfity. A student said that he heard there are infinite numbers between 1 and 2. So there is an end to infinity it comes after 1 and before 2. Which made me think that there is real end to infinity the number is 2. Then I tried to compare it to a real example using space/movement.

 

Take an object for example when that object moves from point A to point B it is constantly surpassing infinity. Point A suddenly ends and point B begins. So everytime an object moves it constantly surpasses infinity. The "jump" movement between point A and point B. This brings along several other thoughts but I became lost after thinking that far. When an object moves from point A to point B how can it be proven it is actually passing infinity?

 

Would anyone like to share their thoughts on this?

Edited January 3, 2016 by isamu

[ajb]

There was a statement made by a teacher that there is no number after ininfity.

This sounds like a mathematics question and not a physics one.

 

The teacher is right, infinity is not a real or complex number. It does not obey the rules you would like for thing that we call 'numbers'.

 

 

 

Would anyone like to share their thoughts on this?

Is this a bit like Dichotomy paradox? This is resolved in mathematics when we learn about limits and related things.

Edited January 3, 2016 by ajb

[Strange]

I heard the following story: There was a statement made by a teacher that there is no number after ininfity. A student said that he heard there are infinite numbers between 1 and 2. So there is an end to infinity it comes after 1 and before 2. Which made me think that there is real end to infinity the number is 2.

 

The thing is, there are an infinite number of integers (1, 2, 3, ...). And there are infinite numbers between 1 and 2. And also between 2 and 3 and 3 and 4 ...

 

A mathematician called Georg Cantor developed a very clever proof that you cannot map the infinity of numbers between 1 and 2 (the "reals") onto the infinity of integers. In other words, there are infinitely more reals than there are integers.

 

So the answer to what is beyond infinity is ... another infinity. In fact, you can define an infinite number of different infinities.