Existential introduction { 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 introduction

Existential introduction or Existential generalization (∃I) is a basic rule of inference in first-order logic by which an existential statement is introduced to a proof by generalizing a claim about a particular.

The existential introduction rule may be formally presented as follows:

φ(c) proves that ∃xφ(x)

… where c is any constant.

The existential elimination rule simply states that, if we know that a statement, φ, applies to any constant, we can more generally say that there exists something that is φ.