That is correct. The existence of God, in fact of any god, can not be proven by any scientific means. His existence can only be assumed, by those who wish to do so. It is sometimes claimed that the Bible proves the existence of God, because to Bible tells us about God, and the Bible is God's word so it must be true. Of course, that is a circular argument that resolves as an assumption, not proof.
It cannot be proved or disproved because all premises will be inconclusive.
Benjamin Franklin proved the existence of electricity.
Heinrich Hertz proved the existence of electromagnetic waves. The unit of frequency, hertz (Hz), is named in his honor.
In general a contradiction cannot be proved.
Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
Axioms cannot be proved.
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
The existence of francium in cosmos was not proved.
J.J. Thompson proved the electron's existence through the cathode ray experiment.
No, axioms are the starting rules that you use to prove everything else, ie they are assumed truths.
Ernest Rutherford