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

Great River, New York

... km² (0.4 mi²) of it is water. The total area is 8.91% water. Demographics As of the census of 2000, there are 1,546 people, 509 households, and 417 families ...