5 types

You will find there are only five types of god claims:

1 - The absurd: "Trees are beautiful therefore god".

2 - Equivocation:  "God is love".

3 - Argument from ignorance: "Nobody knows the antecedent of the universe, therefore god."

4 - Special pleading: "The universe cannot be infinite therefore god must be infinite".

5 - Appeal to authority "God told me stuff to do".

All of them fail on the basis of their logical errors and thus show that the idea of god is illogical.