An example of a contradictory logic involves statements that cannot simultaneously be true.
The provided reference illustrates this concept:
- "If I did eat chicken, then it's not true that I did not eat chicken today."
- "On the other hand, if I did not eat chicken, then it's not true that I ate chicken today."
The core of a contradiction lies in asserting both a statement and its negation, which cannot both hold true at the same time. This creates a logical impossibility. While simple contradictions involve a direct statement and its opposite, the reference points out that "Contradictions could be more complex than merely a statement and its negation conjoined."
In other words, the relationship could be implied or obscured within a more intricate set of statements. However, the fundamental principle remains the same: the statements, when considered together, lead to a logical impossibility.