Imagine qualitative infinity between phenomena. How would everything not be totally alien to everything?
As for quantitative infinity what does it matter that you can plug a function of +1 if such function thus not translate to new information after you exhausted all phenomena in Reality?
So which is it, either you have Qualitative irrational Infinity, in which case you have to explain how everything is not alien and irrational towards everything else, or, if you don't, where does quantity stops representing qualia/phenomena/sets, of real things, such that you are left only with a fractal pattern repeat, of whatever sets of phenomena already exist which are finite?
To put it more succinctly what is the value function of quantity up to infinity without quality matching it? If quantity is counting repeated patterns of information it is not informing much...