Being logically self consistent means that a god's beliefs, actions, and attributes do not contradict one another and are in line with the laws of logic.
This is a matter of philosophical debate. Some argue that a god who is not logically self consistent cannot truly be all-powerful, as there would be limitations to their power. Others argue that the concept of all-powerful allows for contradictions and illogical actions.
The problem of evil questions how an all-powerful and all-loving god can exist in a world with suffering and evil. If a god is logically self consistent, it would mean that their attributes of being all-powerful and all-loving do not contradict each other, potentially providing an explanation for the existence of evil.
Many religions and belief systems have their own interpretations of an all-powerful god. Some may view a logically self consistent god as necessary for their beliefs, while others may not place as much emphasis on this concept.
Science and technology have allowed us to understand the natural world in more detail, and many scientists and philosophers argue that this has made the concept of an all-powerful and logically self consistent god less necessary. However, others may argue that the complexity and order of the universe still point towards a higher power. Ultimately, this is a matter of personal belief and interpretation.