Olber's Paradox

samsara15

Wouldn't the Redshift result in decreased heat from far distant stars, resulting in an equilibirum temperature, much lower than the average star?

russ_watters

Yes. That logic led to the discovery of the CMB....though it isn't stars that is seen in the CMB, but the surface of last scattering.

Doesn't help much with Obler's paradox though.

256bits

Actually it does help.
Obler's paradox refers to a night sky that would be illuminated if the universe was static and infinite, in contrast with what we do see, a black night sky. A static universe would not have the observed Redshift ( capitalized as in the question ), so a black might sky is used as evidence in support of the big bang theory, expanding universe, along with the CMB and its redshift.

sophiecentaur

The Olber Paradox doesn't refer to a Universe where red shift is relevant -in any case, to deal with your red shift point, in a stead state Universe, surely there would be as many stars approaching us as receding.

The Olber paradox has done its job, you could say, in that it has shown that a steady state, infinite Universe would not appear like our Universe does.