I is finding I

If we keep basic principles of Advaita aside for a minute and just look at the process of finding 'Who Am I' with pure logic. Here we are doing an action I.e. 'finding '. Then we are also finding 'I' . But the idea of 'I' comes from the sense of self created by the ego(or which is ego). So when 'I' is finding 'I' isn't it creating a paradox. We are using ego to find ego. How can it lead to an abstract concept such as Brahman ?