Law of non-contradiction
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Law of non-contradiction
The law of non-contradiction states that a proposition and its negation cannot both be true at the same time.
Statement
- p ∧ ¬p ≡ falsch (false)
Explanation
No proposition can be simultaneously true and false. This principle is a cornerstone of classical logic and prevents contradictions in reasoning.
Example
- For p = "It is raining", it cannot be both "It is raining" and "It is not raining" at the same time.
- Therefore, p ∧ ¬p is always false.
Truth Table
| p | ¬p | p ∧ ¬p |
|---|---|---|
| T | F | F |
| F | T | F |