**law of excluded middle**is a classical law of logic first established by Aristotle that states any proposition is true or its negation is true.Any form of logic that adheres to the law of excluded middle can not handle degrees of truth. This doesn't mean that partial truths don't exist. Several modern forms of logic, such as fuzzy logic, can handle partial truths.

## Principle of Bivalence

The principle of bivalence states that every proposition has exactly one truth value, either true or false. This is very similar to the law of excluded middle but can be shown to have semantic differences.### Summary

The law of excluded middle is a simplification that is adopted as an assumption or constraint for system of logic. This is not very pragmatic for real world applications because practically every statement that is made by humans and machines is in some grey area such as partially true or mostly false. For this reason, modern pursuits are more likely to rely on systems such as probabilities that can handle grey areas.Overview: Law Of Excluded Middle | ||

Type | ||

Definition | Any proposition is true or its negation is true. | |

Value | Simplifies logic by sticking to true and false. | |

Related Techniques |