What you mean to say is that you humans can't judge something it doesn't understand, but our brains are very skilled at gather and organizing information and science is the tool we use to do it logically. Our telescopes are technology, but so are your eyes, crafted by evolution.
And we can see other galaxies and the furthest reaches of the universe. This is Hubble Deep Field, these galaxies are currently billions of light years from us, and are seen by the telescope how the existed in the very early stages of our universe.
We can see even further back in microwave light. This is the edge of the universe, but remember when you talk about an edge, you are also talking about time. This picture is the universe when it was about 300,000 years old. We can't see further back than that, it's not a limitation of our technology either. It's a limitation imposed on us by a universe that has a finite speed of light and a beginning of time.