One plus one equals two; can God make it equal three?
As humans, it is completely impossible for us to comprehend or execute such a problem. This is because it directly contradicts the most basic rules of the logic of this universe in which we live, as well as the logic of our minds through which we understand this universe. But does this mean it is equally impossible for God?
First, logic as a creation, not a backdrop: Logic is not a backdrop that has existed since eternity, because this contradicts one of the fundamental tenets of monotheism—namely, that the only eternal entity is God. There can be no other eternal thing alongside God alone. Therefore, logic is one of God's creations. Just as God was capable of creating our human logic—the logic our minds comprehend and by which our universe operates—God is equally capable of creating another logic, by virtue of His unlimited power.
Second, the unstudied critique of this idea: We cannot use the very same tool—human logic—to criticize an idea asserting that human logic is not the only logic. Thus, most ideas and attempts aimed at criticizing the notion of another logic's existence—specifically, the idea of God's ability to do inherently impossible things—are flawed. They simply rely on logic itself, human logic, assuming that our human logic is the sole baseline and foundation upon which everything must be constructed. The idea that another baseline or foundation could exist is deemed impossible by them. Building upon such premises is what renders these criticisms fundamentally incorrect at their core.
Third, when we discuss logic and propose the example of 'one plus one equals three,' we are not talking about mere terms and labels; we are speaking about essence, existence, structure, and perception.
Fourth, this idea is not built on our own logic: Our human logic states that 'one plus one equals three' is impossible, with no room for debate. Therefore, when we entertain the possibility of another logic, we are effectively no longer relying on human logic in our thinking.
We are trapped inside this logic and cannot apply or comprehend any other logic, including mathematical logic, which branches from it. This is simply because our minds are constructed and programmed around this logic—it is what we require to exist in our universe, which is likewise built upon this exact logic that we, as humans, understand. If you were to ask someone: 'Is there another logic? And if so, what does another logic look like, or how would another mathematical logic operate?' it would be akin to asking a person sitting inside a room with opaque walls and locked doors: 'Is there another room outside? And if yes, what is inside that room?'
In our scenario, the walls represent the human mind, which blocks our comprehension of another logic just as those walls block the view of another room. The locked door represents our universe, which prevents us from applying any other logic just as that lock prevents the person from exiting the room. Ultimately, even this metaphor and analogy are built upon our human logic itself. In another logic, perhaps people can see through opaque walls and pass through locked doors. This is not a flaw in the analogy itself, because the analogy was crafted by a human who is also trapped inside this very same human logic.
As the creator of this idea, I do not claim to be absolute about this information, because I am human. However, I looked through the keyhole designated for the key in our previous analogy. Even if I couldn't see anything—because the key is inserted in the lock, blocking the view—I still gained a little insight. I haven't left the prison, but I realized that I am imprisoned.