No Evidence for God, therefore No God

Atheists often rely on the appeal to ignorance fallacy: "No evidence for God, therefore there is no God" to settle any discussion with Theists regarding the existence of God. 

At first glance, the argument seems to make sense. If its not there, then it's not there right? Well let's examine it closer. 

1. First, how do we know that something does not exist?  In order to truly know for certain, one must be omniscient; that is to say, one must know about everything in reality.  This is obviously impossible for a human being.  We are barely scratching the surface on this physical universe with Physics as is. The more we look at sub atomic particles, the more this universe DOES NOT make sense. 
2. Second, evidence can be anything.  Does a historian need to produce the living corpse of George Washington to prove he existed, or are written accounts of his life enough?   
3. Third, the human being's senses, perception and cognitive abilities are extremely limited. The brain compensates a lot when processing stimuli so it does not always give an accurate account of what we call "reality."

Just because we might not be able to see, hear, taste, smell or feel God does not mean God does not exist.  Let me explain this using a historical figure in American history.   

I'm sure you've heard of Helen Keller. She is a well known figure in American history. Keller was blind, deaf and mute.

We all rely heavily on our senses, in particular hearing and sight. Imagine living without them. Unless you are touched, you will not have any awareness that something or someone is near you. Keller experienced this. 

Now suppose you had this condition. You cannot see or hear and 10 people encircle you without touching you and at the same time they avoid making any vibrations that your sense of touch might pick up.

• Would you be aware of those 10 people? 
• Would you have "empirical evidence" of their presence? 

The answer is no. You would be completely oblivious to their existence due to the absence of 2 of your most important senses.

• The evidence is there: 10 people encircling you. 
• The problem is that you cannot sense them by normative means. 

Just because you lack this ability to sense them does not mean the 10 people are not there.

God is the same. He is around us, we might not sense His presence as we would another human, animal or object unless He wills it, nonetheless, He is there.  Our perceptual limitations are not the final word on what exists and does not exist.  Therefore "absence of 'evidence' does not mean evidence of absence."