If we define “I” as the thinker, then the thought implies the existence of the thinker.
Whether the thinker’s perception of what “I” is is true or false does not matter. If the thinker believes they’re an individual french man in fancy clothes, but they’re actually a divine being imbuing all thinkers with thoughts collectively, the thinker still exists and can refer to themselves as “I”.
Re: your first point
If we define “I” as the thinker, then the thought implies the existence of the thinker.
Whether the thinker’s perception of what “I” is is true or false does not matter. If the thinker believes they’re an individual french man in fancy clothes, but they’re actually a divine being imbuing all thinkers with thoughts collectively, the thinker still exists and can refer to themselves as “I”.
I see! That’s a great point! Thank you!