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I think infinity is possible and what it does is simply take you to another dimension.
An example:
An infinite number of 1 dimensional lines gives you 2 dimensional plane
An infinite number of 2 dimensional planes yields you in the third dimension
An infinite volume of 3 dimensional models takes you to travel time through parallel worlds
An infinite number of 4 dimensional time lines takes you to deal with another unit called tachyon which recently to have infinite speed(faster than light).
And so forth
Also to create millions of species and atom based precision in movement of planets in an order of 10 to the power who knows what span of the galaxy, you would need infinite super computing wisdom that God only has.
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