Conceptualizing Infinity

Infinity – often denoted by the symbol, ∞ represents something that is boundless or endless, or else something that is larger than any real or natural number. Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. Wikipedia

Can you imagine BOUNDLESS?  ...  what about ENDLESS?

Before we go any further, let me introduce Entropy into the situation.

What is entropy?

Entropy is a lack of order or predictability; gradual decline into disorder.

So, can you have INFINITY and ENTROPY at the same time?
And, if that is possible then infinity will gradually decline into disorder... and what then?

According to Quora.com:   A microstate is a particular way particles that make up the system can have different positions and momenta and still yield the same macroscopic measurements such as temperature and pressure. Since no finite system can have an infinite number of microstates, it's impossible for the entropy of the system to be infinite.

In short, INFINITY is something that NEVER ENDS...

Yet, mankind is predicated upon the fact that there is a BEGINNING and that there is an END.  But, infinity and entropy cannot exist at the same time and yet entropy is a scientific fact whereas infinity is not.

Another contradiction is the notion that OUR UNIVERSE is ENDLESS and what we know now is that our UNIVERSE is still EXPANDING...  but, what is it expanding into?  And, because it is still expanding does this now confirm an ENDLESS UNIVERSE?

Additionally, religious scholars believe that there is an ENDLESS LIFE after death in HEAVEN...  but, there is not proof of that either.