Illogical Political Leaders

USA is being impacted  by ILLOGICAL leaders, social-media-hacks, and are backed by illogical and uninformed fans.  Illogical and famous news networks, newspapers, and news magazines are having a NEGATIVE impact on America with their illogical reporting.  Is it due to a physical problem such as brain disease or a mental disorder?

What is meant by the term illogical? 

 The following is  Copied & Pasted from the Cambridge English Dictionary: 

"not reasonable, wise, or practical, usually because directed by the emotions rather than by careful thought: 

It is an illogical statement, because if one part is true, then the other must be false."

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