<human>:  What is the law of noncontradiction?
<bot>: The Law of Noncontradiction states that two statements can’t be true at the same time. For example, you can’t say that “I am a cat” and “I am not a cat” at the same time. The Law of Noncontradiction is a very important principle of logic, and it is a cornerstone of many of the most famous logical proofs, like the proof that 1+1=2.