Yes, there are many varied methods of logically proving the nonexistence of any deity.

The distinction shold be noted that this does not physically demonstrate the nonexistence of any deity. Logic can be used to prove anything if you assume what is needed; very rarely do you get exactly what you need for your proof.

no thing; not anything; naught or nonexistence; nothingness

It means nonexistence. Cease to existence.

well, basically he accounted the change of the world existence and nonexistence.

Nonexistence; the negation of being., A thing not existing., A person or thing of little or no account.