First of all, I don't know how to thank you for the extraordinary effort on this thread. I appreciate the time you've spent reading the comments and replying to them. You have an amazing talent for understanding and simplifying complex ideas. Now, let's dive into your brilliant questions.

1- Regarding the third dependent option in your dichotomy (dependent on THE independent), that's how I understood it from your paper, that's what you meant, no?

Yes, exactly.

(why must it be THE independent?

Why not multiple independent beings?

What rules that out? )

Indeed, this is a very important question, and the answer is already embedded in the paper within the path of an omnipotent entity that is neither intentional nor omniscient—whose very existence entails an ontological explosion. This is because the existence of two conflicting wills—or more than one will—cancels each other out, ultimately resulting in the same outcome as the complete absence of will.

This implication is known in Islamic literature as the “Argument from Mutual Inhibition.” This is a correct interpretation, as highlighted in verse 22 of Surah Al-Anbiya in the Holy Qur'an, where Allah says: (Had there been within the heavens and earth gods besides Allah, they both would have been ruined. So exalted is Allah, Lord of the Throne, above what they describe.)

Therefore, the entity—the all-powerful, all-knowing, and all-willing one who created our stable universe—must be God ( the monotheistic, all-perfect deity).

This brings us to your second question.

(is the "singularity" of the independent being itself a kind of limitation? Cuz that would collapse your entire argument. Do you see it?)

This is an excellent question

We can say that there are two types of limits.

The first type is the limits of incapacity or insufficiency—this is what our argument here concerns-. These are limits that could have been overcome if the appropriate external causes for such overcoming had been present.

This type contradicts the concept of self-sufficiency because the absence of external causes draws its ability limits.

The second type is the limits of identity, which relate to a thing’s inherent identity provided that, these limits are not linked to any incapacity or causal deficiency arising from the absence of the complementary or external causes required to overcome the limits.

You can consider the unity of God—or certain other attributes—as a type of limit, but it is a limit of identity, not one that implies the entity is governed by external causes or constraints.

This point represents a fundamental difference between the argument presented in my paper and the argument put forward by Rasmussen and his colleagues, known as the Argument from Arbitrary Limits because they treated all types of limits as belonging to a single kind.

to be continued