Specifically this is rigorously confirmed by induction based on observation, not deduction. Otherwise one could simply say we can simply deduce what you just called "miracles" do not happen without any observation of the universe at all.
An eternal universe is no more or less absurd than an eternal God.
If and only if this eternal God did not transcend nature in a way that made the observation based induction of causality applicable to Him.
An eternal universe.
If there is one thing modern physics has strongly suggested about the universe, that we as a species were not aware of before, it is that there is no example of anything infinite in it.
Now this contradicts our intuition, and who knows what theories will evolve later, but currently it looks like there is a smallest discreet unit of everything. Matter, energy, space, and even time. Thus nothing in the universe strictly needed the Calculus. There is a lot of space, but it doesn't go on forever. There are many particles, but there is a finite amount. There is a lot of energy, but it is finite. Any kind of infinity in this universe only appears to be a concept in the minds of people.