Encyclopedia > Logical conditional

  Article Content

Logical conditional

In logical calculus of mathematics, logical conditional is a binary logical operator connecting two statements, if p then q where p is a hypothesis (or antecedent) and q is a conclusion[?] (or consequent). The operator is denoted using an left-arrow "->".

The hypothesis is sometimes also called "necessary condition" while the conclusion may be called "sufficient condition".

It is defined using the following truth table:

p q | p -> q
T T |    T
T F |    F
F T |    T
F F |    T

In the case that the hypothesis is true, the result is the same as conclusion. Otherwise, the whole statement is true regardless the value of conclusion.

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

... rapid growth and consumption by the booming population. Phosphates are a component of certain types of detergent, but because of boom-bust cycles tied to emission of ...