 ##  [Law of Noncontradiction](/law-noncontradiction) 

  ##  [Law of Noncontradiction](https://natural.quantumdictionary.io/law-noncontradiction-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

The logical principle that no proposition can be both true and false at the same time in the same sense; it prohibits holding a statement and its negation simultaneously as true within the same interpretive frame.

 
 ##  [Law of Noncontradiction](https://mathlogic.quantumdictionary.io/law-noncontradiction-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The logical principle that no proposition can be both true and false at the same time and in the same respect; formally it forbids a formula A and its negation ¬A from both holding under a single interpretation.