The standard resolution to this paradox invokes the finite age of the cosmos and the speed of light. Even if the cosmos is endless and full of stars, one might reason, we can only see the ones that are close enough for there to have been enough time (since the beginning of the Universe) for the light to reach us from there. Anything distant enough from the Earth that the light travel time is more than the age of the Universe is invisible to us.
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The 'Hubble-Lemaître' law is more useful for calculating distant galaxies. The law shows that the further the galaxy is from Earth, the faster it moves away from us - the consequence of the Universe expanding.
The galaxy's speed is measured by...
If we know the intrinsic brightness of an object in space - that is, how bright an object really is - then we can estimate its distance from how bright it appears to us from Earth.
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