physics / maths

[Welsh cake]

There any real evidence that infinity exists such as
a mathematical proof for example : and if there is not
then is it not therefore presumptuous and unscientific for
a mathematician or physicist to automatically assume it does

Theoretically speaking, a gravitational singularity such as a black hole, where the object is incredibly small yet has infinite density is an example, its also a mathematical singularity, but we can't know for certain because this is the point where physical theory breaks down and renders mathematics meaningless.

We don't yet know what a singularity is, or what its made of, if anything.

According to Einsteins Special Theory Of Relativity nothing
can travel faster than light : galaxies however are accelerating
from each other beyond that speed

Am I doing your homework for you or something? You have the Internet otherwise you wouldn't be here. Look it up. Google is your friend, showing you the door to knowledge.