Existential elimination { 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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Existential elimination

Existential elimination or Existential instantiation (∃E) is a basic rule of inference in first-order logic by which an existential statement is removed in a proof by applying introducing a new constant to represent its claim.

The existential elimination rule may be formally presented as follows:

∃xφ(x) proves that φ(c)

… where c is a new constant.

The existential elimination rule simply states that, since we know that there exists something (at least one thing) for which φ is the case, we'll introduce a new constant to refer to that thing.