Why Infinity Could Possibly Be Nonsense

Could Infinity be a "side-effect" of mathematics and have no relevance with reality? Here`s the thought process:

Counting numbers and saying they go off until infinity makes complete sense as that`s a fundamental logic of maths. I.e. we can keep adding one and get bigger numbers. However maths itself, when discussing matters of the Universe, is useful to an extent. By this I mean, the ancient Romans and Greeks had completely different counting systems compared to us. One had X`s and V`s and the other units pictured as lines.

As their maths reached its limits, the geniuses of their time would invent totally new forms of maths. This new maths would gradually help them better understand the world around them. Maths is therefore a tool of human invention and we shouldn`t be naive and assume that our maths is universal and used by other intelligent species. Extrapolate this process until the present. We see maths progresses with physics and vice versa.

Now if we take a look at the Universe, which is understood by physics and therefore primarily through maths. It follows that physics is the process of giving observed data meaning through maths. Everything we can understand can be fundamentally explained through physics, which uses maths as its best tool of explaining it all. But this does not mean our current maths is perfect. Like I said before, maths changes and progresses with time.

Using this methodology, it makes sense that current physics is constrained by current mathematics. We can understand nearly our entire universe with physics and maths. There are some points in reality which are said to be infinite, like the centre of BlackHoles, and that might mean infinity is a true thing so maths is correct. But a lot of physicists believe that BlackHoles are not infinite at the centre but limited to the Planck-Length. Another example is temperature. Temperature does not go up to infinity; implying that energy also does not. When enough energy is pumped into any point in space, the moment it reaches the Planck-Temperature, that point of Space-Time becomes so dense that it is forced to collapse into a BlackHole. Stopping the process of adding further energy into the system. Theories in physics that explain a particular phenomena is tending to infinity; are usually deemed incorrect or incomplete. In the case of BlackHoles, a new model called `The Quantum Theory of Gravity` aims to remove the limitations of the model that currently explains it; achieved by creating new forms of mathematics. Infinity is certainly not a good sign, as it doesn`t explain anything!

With the logic from everything I have said; could it possibly be true that infinity is just an occurrence of current maths and has no relevance with nature. Maybe reality has no need for infinity.