Inconsistency
(also known as: internal contradiction, logical inconsistency)
Description: In terms of a fallacious argument, two or more propositions are asserted that cannot both possibly be true. In a more general sense, holding two or more views/beliefs that cannot all be true together. Quotes from Yogi Berra (even if apocryphal) are great examples of fallacies, especially inconsistencies.
Logical Form:
Proposition 1 is logically inconsistent with proposition 2.
Proposition 1 and proposition 2 are both asserted or implied to be true.
Example #1:
"I never said most of the things I said." - Yogi Berra
Explanation: I know this requires no explanation, and I don't mean to insult your intelligence, but for consistency's sake, I will explain. If he had said those things, then he said them, which is a contradiction to his claim that he never said them. This is both an internal inconsistency and a logical inconsistency. It is internal because the inconsistency is contained within the statement itself; it doesn't require any other premises or arguments.
Example #2:
"Nobody goes there anymore. It's too crowded." - Yogi Berra
Explanation: Again, I apologize, but here it goes... If "nobody" went there, then it could not possibly be crowded, since "crowded" implies too many people are there. This is both an internal inconsistency and a logical inconsistency.
Exception: One needs to be able to explain how the beliefs are not inconsistent.
Tip: Think about your beliefs. Are there any inconsistent with each other? Any inconsistent with how you act and what you do?

References: This a logical fallacy frequently used on the Internet. No academic sources could be found.
Master Logical Fallacies Online
Take the Virversity course and sharpen your reasoning skills with structured lessons.
View Online Course