I'm trying to reduce Nagarjuna's concept of self to logic. However, I'm new to logic and not an expert in Tibetean Buddhism. Is this a close fit?
∃x (S ∃¬x)
I'm reading it as:
If "S" represents the concept of having a permanent, unchanging self (similar to Nagarjuna's anatman), then the statement could be seen as a way to say: "There exists something that lacks a permanent self, because the existence of a permanent self is negated."
But another candidate is:
∃x (S ∃x)
Where I reinterpret "S" as "lacks a permanent, unchanging self," and existence refers to a temporary phenomenon, it could be seen as loosely capturing the idea of impermanent selves arising from causes and conditions.