Well, our brain is comprised only of a finite number of neurons. How could it possibly not be finite?

Is it only neurons? Is it not also the forces acting on the brain matter, chemical/physical and pre-conditionally? I suspect any brain state is practically created from infinite complexity, unless there was some way to simulate the local light cone and age a model appropriately.

Bekenstein bound applies to any physical system. If humans are to be excluded from it for some reason, then that needs to be proven.

I'm sorry you had to find out this way but no, souls aren't real.

Show me the experimental results...

That result is stashed in a small china teapot that is orbiting the sun.

Even according to platonism souls are forms and forms are described by science. The only difference is that forms are substance and can exist detached from matter, but this doesn't affect computability. Moreover, mathematics is epitome of eidos.

Yes yes, everyone has their own twee bespoke definition of soul.

Well, I could argue the contrary, show that souls are real with experimental results!

Your argument, might not be your intention, infer that just because you can't prove X thus Y exist.

The commenter's point was to disagree with the previous comment that "souls aren't real". Lack of evidence either way means we don't know. Occam's razor, while a good heuristic, is a heuristic, not a theorem.