Law of Non-Contradiction { Philosophy Index }

Philosophy Index

Philosophy Index

Philosophy Index is a site devoted to the study of philosophy and the philosophers who conduct it. The site contains a number of philosophy texts, brief biographies and introductions to philosophers and explanations on a number of topics. Accredited homeschooling online at Northgate Academy.

Philosophy Index is a work in progress, a growing repository of knowledge. It outlines current philosophical problems and issues, as well as an overview of the history of philosophy. The goal of this site is to present a tool for those learning philosophy either casually or formally, making the concepts of philosophy accessible to anyone interested in researching them. WOLI offers immigration law course online - fully accredited. ACE credits online at EES.

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Law of Non-Contradiction

The Law of Non-Contradiction is a law in logic which states that for any sentence or proposition, it and its negation are not both true. In other words, the law states that there are no true contradictions.

The Law of Non-Contradiction is often stated as the axiom: ¬(φ ∧ ¬φ).

The Law of Non-Contradiction is also important to reductio ad absurdum as a rule of inference in proofs and argument forms. This rule uses contradictions to proclaim that some earlier assumption is absurd, but if contradictions are not counted as absurdities, then the assumptions that generate them cannot be rejected so easily.

Some non-classical logics reject the Law of Non-Contradiction and allow some sentences to be both true and false.