Which Conflict between Observation and Theory is called "Olbers's Paradox"?

Question

The Night Sky is Dark in an Eternal Universe

The Night Sky is Dark in an Infinite Universe

The Night Sky is Dark in a Homogeneous Universe

The Night Sky is Dark in an Infinite and Homogeneous Universe

Answer 1

The night sky is dark in an infinite universe and homogeneous universe.

Olber's paradox says that if the universe is infinite and homogeneous, then stars should be uniform in the night sky. Uniform, and everywhere because the universe is infinite. Thus, that the night sky is dark seems to suggest the universe can not be both infinite and homogeneous.

There are various solutions to the problem, one is based on the finite speed of light and finite age of the universe.

Answer 2

The night sky is dark in an infinite and homogeneous universe!

Every direction you look in you would see a star so the sky would be equally bright (as bright as the sun) in all directions.  

We would fry!

Clearly, this is not what is observed!

Answer 3

Olber's Paradox is the argument that a dark night sky conflicts with the theory of an infinite and eternal static universe.

Its also sometimes also known as the "dark night sky paradox".

So of your 4 options, the 4th is the closest.

Answer 4

I think the last one "The night sky is Dark in an infinite and Homogeneous Universe is Olbers's paradox. Because only with this assumption one can logically prove that night should not be dark. But it is. This paradox is then resolved  by the assumption of an expanding universe.