Converse (logic)

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In mathematics and logic, a converse is a variant of an implication. More specifically, given an implication of the form , the converse is the statement . [1]

While a converse is similar to its originating implication, they are not logically equivalent.[2] This means that the truth of an implication does not guarantee the truth of its converse (and vice versa).[1]

As a logical connective, the converse of and can be represented by the symbol (as in ).[3]

Related pages[change | change source]

References[change | change source]

  1. 1.0 1.1 "The Definitive Glossary of Higher Mathematical Jargon". Math Vault. 2019-08-01. Retrieved 2020-10-09.
  2. Taylor, Courtney. "What Are the Converse, Contrapositive, and Inverse?". ThoughtCo. Retrieved 2020-10-09.{{cite web}}: CS1 maint: url-status (link)
  3. "Comprehensive List of Logic Symbols". Math Vault. 2020-04-06. Retrieved 2020-10-09.