...a finite part of an 'infinite' thing is not all-embracing, so it's not also infinite itself.
You must be a mathematician, if not by profession, then certainly by inclination. Try to divorce yourself from Cantor and his infinity of infinities (countable and uncountable). Forget the infinite series, in its many guises. These things exist only in the minds of mathematicians. They have less affinity with reality than does the square root of minus one. (I know I am going to regret bringing the sqrt of -1 into it).
You are probably familiar with holographic plates. Not the holograms we find on credit cards etc.,but those which when viewed by reflected light just look like a lot of swirls, but which when viewed by the right sort of transmitted light produce 3D images.
You are probably aware that however many times you cut one of these plates in half (or any other fraction), it will still product the whole 3D image. The quality will diminish, but the entire image is still there. It seems that every part of the plate contains the whole image. Physical infinity must be rather like this. Every part is the whole.
A finite part of an infinite thing is a figment of the mathematician's imagination.
