This is for theistic philosophers (I want your input).

I've come across the view of dialethism recently as well as philosphers that reject the LNC. The LNC is not necessarily true; and there are problems with modal logic and classical conditioning (modal collapse and modal paradoxes themselves conflict with the LNC).

These are assumed as axioms before trying to argue for god, namely the arguments from the impossibility of infinite regress and the contingency argument. However, if these are not accepted, these arguments don't work.

My issue is that not everyone agrees with these axioms and there's decent indication to be skeptical of them (as outlined above). Thoughts?