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Originally Posted by Ab
The key point is not that "things are moving away from us" - it's that "everything is moving away from everything else". The distances between every object and every other object are increasing.
An analogy I've often found useful is that of the chocolate-chip muffin in an oven - as it rises, the muffin does not acquire any new mass, but every chocolate chip gets further away from every other chocolate chip.
Muffin = universe
Chocolate chips = planets, stars, galaxies
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Great point to make, that we're not using a consistent point to prove that things are expanding - we're taking measurements from each object to prove each object has shifted away from one another, rather than moving away from a central point.
Another one not many religious people tend to appreciate.