What on God's Earth is a "justified axiom"?"God does not have a beginning" is not a justified axiom.
It's impossible to prove a first principle. First principles are assumed. In geometry we assume definitions, postulates, and common notions. We don't demonstrate them. How would you prove that "a point is that which has no part" or that "a line can be extended indefinitely"?
What makes God necessary is the a priori principle of causality. If there is an infinite regression of causality we would never arrive at the present which is absurd.We have to deduce necessity from the nature of God. What makes God necessary? What aspects lead it to that conclusion?
Necessity can be proven by the absurdity of the opposite and the manifest truth of the affirmation.
We know the universe had a beginning. And all beginnings are caused.
http://www.hawking.org.uk/lectures/lindex.html
The Big Bang had a necessary cause and we call it God. The opposite, that the first motion in the universe and the Big Bang happened without cause, is absurd. If Big Bangs and motion can happen without cause you might as well flush science down the toilet.All the evidence seems to indicate, that the universe has not existed forever, but that it had a beginning, about 15 billion years ago. This is probably the most remarkable discovery of modern cosmology.
As Heisenberg writes in Physics and Philosophy:
In the discussion of the Copenhagen interpretation of quantum theory it has been emphasised that we use the classical concepts in describing our experimental equipment and more generally in describing that part of the world which does not belong to the object of the experiment. The use of these concepts, including space, time and causality, is in fact the condition for observing atomic events and is, in this sense of the word, 'a priori'.
When we make an experiment we have to assume a causal chain of events that leads from the atomic event through the apparatus finally to the eye of the observer; if this causal chain was not assumed, nothing could be known about the atomic event.
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