The status of the law of noncontradiction is the ultimate battleground on which the traditional forces of rationalism and anti-rationalism have met. This conflict is the topic of this essay. People who reject the law of noncontradiction obliterate any significant difference between speech acts of asserting and denying. In doing so, they deprive themselves of the significant use of their own speech acts. Thus they are self-silencers. This is Aristotle’s “negative demonstration” of the law of noncontradiction, and I find it entirely persuasive.
Fogelin, Robert J.
"Why Obey the Laws of Logic?,"
Philosophic Exchange: Vol. 32
, Article 3.
Available at: http://digitalcommons.brockport.edu/phil_ex/vol32/iss1/3