We believe to seem to know that there is a reality that exists. I doubt we can conceive reality, but only a vague understanding of it. Moreover we have no experience of “not existing”, so it’s hard to argue that we have a strong grasp on deeply understanding that there is a reality that exists.
Biggest issue is here imho (this is a very common misunderstanding): math is just a tool which we use to describe our universe, it is not (unless you take some approach like the mathematical universe) our universe. The fact that it works well is selection bias. We use math that works well to describe our universe, we discard the rest (see e.g. negative solution to the equation of motion in newtonian mechanics). Math by itself is infinite, we just use a small subset to describe our universe. Also we take insipiration from our universe to build math.
Interesting paradox.
As other commented, I see multiple flaws:
We believe to seem to know that there is a reality that exists. I doubt we can conceive reality, but only a vague understanding of it. Moreover we have no experience of “not existing”, so it’s hard to argue that we have a strong grasp on deeply understanding that there is a reality that exists.
Biggest issue is here imho (this is a very common misunderstanding): math is just a tool which we use to describe our universe, it is not (unless you take some approach like the mathematical universe) our universe. The fact that it works well is selection bias. We use math that works well to describe our universe, we discard the rest (see e.g. negative solution to the equation of motion in newtonian mechanics). Math by itself is infinite, we just use a small subset to describe our universe. Also we take insipiration from our universe to build math.