Encyclopedia > Biconditional introduction

  Article Content

Biconditional introduction

Biconditional introduction is the inference that, if B follows from A, and A follows from B, then A if and only if B.

For example: if I'm breathing, then I'm alive; also, if I'm alive, then I'm breathing. Therefore, I'm breathing if and only if I'm alive.

Formally:

  ( A → B )
  ( B → A )  
  ∴ ( A ↔ B )



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Monty Woolley

... of the cranky professor forced to stay immobile because of a broken leg in 1942's The Man Who Came to Dinner[?], which he had performed onstage before taking it t ...

 
 
 
This page was created in 27.4 ms