Consequentia Mirabilis { 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 and Philosophy online tutoring.

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. WTI offers immigration law course online - fully accredited. ACE credits online at EES.

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Consequentia mirabilis

Consequentia mirabilis is a Latin phrase meaning ‘admirable consequence’, which refers to a law in classical logic which states that if a sentence, or proposition, follows from its own negation, then that sentence is true.

Consequentia mirabilis is expressed as the axiom: (¬φ → φ) → φ.

As an axiom, the consequentia mirabilis is a consequence of a reductio ad absurdum argument, for it can be shown that (¬φ → φ) ⊢ φ. The principle expressed is also called Clavius's Law.