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(1) **Self-awareness as evidence -** Although all embodied beings are more or less enveloped by the veil of ignorance and doubt their own existence, when their intellect becomes even slightly stable, they experience the realization, "I am not." This is contradicted by the certainty, "I am." This is what Shri Shankaracharya also said, "All souls experience their existence, not 'I am not'." This certainty is called self-awareness or self-realization.
(2) **Refutation of obstructive evidence -** There is no evidence that negates the existence of the soul. If it is doubted that the inability of the mind and senses to perceive the soul is obstructive evidence, then the solution is simple. Because obstructive evidence is considered to be that which has the power to know the object and, even when all other materials are present, cannot perceive it. For example, the eye can see an earthen pot. But if, even when light, proximity, etc. are present, it does not see the pot, then it should be considered an obstruction to that object.
The senses are all physical. Their power of perception is finite. They can only superficially know the terrestrial, nearby, and fixed objects from among physical objects. Microscopes, etc. are also in a similar state. They have so far only been proven to work on physical objects, and even then not completely. Therefore, their inability to know the non-physical, non-material soul cannot be called obstructive. Even though the mind is subtle and physical, it becomes a slave to the senses - one after another, it runs around like monkeys in many objects, then Rajas and Tamas qualities are generated in it. The Sattvic quality does not manifest. This is also mentioned in the Gita.