system
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human
If the Big Bang theory is correct, how can we look back in time if we were once at the center of the event?

I was reading an article today about how hubble is getting close to seeing the very beginnings of our universe very close to the big bang, and it got me thinking about how that could be possible.

What I don't understand is that even if space is continuing to expand, why would we be seeing light that is so old?  

For instance, lets say that space is expanding far slower than the speed of light, and therefore, our point of perspective is moving away from the epicenter of the big bang at that slow rate, wouldn't the light from the origins of the big bang have passed our vantage point long ago? Even light that is hundreds of millions or billions of years old should have passed us. 

On the other hand, lets say that the universe is expanding at the speed of light, wouldn't that mean that we should have a spot in our field of view, corresponding to the epicenter of the big bang that is complete darkness, since light would never reach our vantage point, as we are accelerating at the same rate as the light waves?

I have been unable to find a satisfactory answer to this on the googles.


edit:  Thanks to Clever-Username789 and aescolanus for the clear explanation.  I assumed there was just something I did not understand, but nothing I ever found  before could explain it in simple terms.  Reddit delivers again.
gpt
The big bang did NOT happen at one point in space. This is the fault in your understanding. At the instant of the big bang the universe was infinite in density AND size. Then the big bang caused this infinite space to start expanding, hence no longer infinite in density.

When the universe transitioned from being opague to transparent (the time that we observe as the cosmic nicrowave background) photons were permitted to travel without being interupted. So they could travel indefinitely in every direction from every point in the infinite expanse of the universe until being absorbed by a detector of some sort. This is what we're looking for, and we see it in every direction we look. If we were in Andromeda we would also see the same CMB in every direction. If we were in a galaxy 10 billion light years from here we would see the same CMB at the same distance from us and come to the same conclusions about the universe.

The big bang happened everywhere at once,  every point in space is the origin of the big bang. We are not in a special center point of the universe,  only the center of our observable universe.