The following are my slightly logical arguments on why my infinity is bigger than your infinity.

My infinity is bigger than your infinity. Since infinity is infinite, and our brains are not, we cannot truly comprehend infinity, regardless of how much we may think we comprehend it. Therefore, infinity is only as large as we can picture it, and when I look at my infinity, it may not be the same as when you look at my infinity. Since you are now trying to picture my infinity to compare it to your infinity, we now have both your brain AND my brain picturing my infinity, so my infinity can be twice as large. Furthermore, you are likely not the only one reading this at the current moment, so even when you go back to picturing your infinity again, there will be others picturing my infinity, keeping it larger than yours can be individually.

My infinity is bigger than your infinity. To explain, I will need to define a new mathematical function: hypexp, meaning hyper exponent. This means that x hypexp y would equal x to the power of y, y times. Example: 2 hypexp 3 would be $2^{3^{3^{3}}}$, and 5 hypexp 2 would be $5^{2^{2}}$. Since infinity times any number is still infinity, my infinity can be defined as $\infty hypexp\infty$ and still be an infinity. However, because, as mentioned in the first argument, infinity is relative, my infinity looks infinitely larger than your infinity. Since infinity can only expand to the limit of the imagination, it means that your infinity must shrink in comparison to mine, filling up only an infinitely small portion of your brain.