>>7
If you really want my opinion, it's simple: There is no actual infinity, except in our minds (possibilities) and maybe outside our own universe (if anything does exist, such as other possible universes). This does not mean that I think infinity (as well as real numbers) is not an incredibly useful tool to model all kinds of systems. Just like negative numbers, complex numbers and all other mathematical constructs don't have meaning outside of math, they do allow you to solve and understand all kinds of interesting problems and approximate reality without having to deal with a lot more nastier complexity which would be too much for our human minds. It also allows us to generalize a lot and then build concrete real-world solutions from specific instances.
As for ``God'', that's just a loaded word, mostly by the world's religions and it has all kinds of possible definitions. Some definitions are illogical and can be disregarded as impossible, others are general enough to be in the realm of possibility. Myself, I know one thing to exist: my mind (consciousness) and from all the observations I've made, I'll also conclude that the universe exists (in the sense that the structure exists, not what its implementation details are) and my inner consciousness is something which emerges from my brain which is just matter in this universe. At least from what I've read relating to physics research, I've taken to think of the universe as a possibly finite system which has a certain unique geometry and rules which allow transition from one state to the next. I'd like to think it's discrete underneath and doesn't involve things like infinitesimals, and with my limited understanding of quantum physics, that seems to me to be the case. However, even if one thinks of our universe as one possibility (given its unique geometry) in the possible universe landscape (multiverse), I think that infinity should be allowed, at least only there: why would there only be one universe with some fixed geometry? why not nothing or why not more? Which means I only accept actual infinity in 2 places: one is in constructs built using math (so, an useful tool) and the other is in the set of possible universes, but that's just my philosophical worldview and I may very well be wrong about it, so I'm agnostic about the existence of the multiverse, but I think the alternatives are more complex than that, so I'll just use Occam's razor and leave it at that. The other interesting case is the fact that I know my raw consciosness exists (and you probably do the same), which is either a great illusion or just an interesting property of our universe or more likely an interesting property of all systems ( I'm of theChalmer's school of thought that all systems of equivalent functionality and organization would form the same kind of consciousness and perceive the same kinds of qualia, that is, if qualia exists at all, and if it doesn't, then this discussion doesn't even matter ). So in my understanding of ``God'' i just treat it the same thing as the multiverse (if it exists) and my raw consciousness (if it exists), or if those things don't exist, just this strange unique and finite universe, but we already have words for those things, so why call it God which is such a loaded word, thanks to the world's religions which try to add all kinds of meanings to things they shouldn't (why should it be human-like or have contradictory properties like omniscience and omnipotence or even illogical/impossible and human-centered properties like omnibenevolence).