Law of Noncontradiction

Natural & 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

- Natural & Formal Sciences -
Mathematics & 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.