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Added definition about contradiction (#30310)

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* Added definition about contradiction

* Update index.md
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mkoument
2018-11-24 03:37:41 +02:00
committed by Randell Dawson
parent 2cea1e1c66
commit 0aa89d91f0
1 changed files with 6 additions and 3 deletions
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guide/english/logic/tautologies/index.md
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@ -4,6 +4,8 @@ title: Tautologies
## Tautologies ## Tautologies
### Definition ### Definition
In logic, a tautology is a statement that is true in every possible case. The opposite of a tautology is a contradiction, a statement being false in every possible cases. In logic, a tautology is a statement that is true in every possible case. The opposite of a tautology is a contradiction, a statement being false in every possible cases.
Also, a formula is said to be a contradiciotn if every truth assignment to its component statements results in the formula being false.
### Example ### Example
<table> <table>
<tr> <tr>
@ -52,6 +54,7 @@ The arrow simply means "implies". p implies p OR q, it can also mean <i>if...the
#### More Information: #### More Information:
<!-- Please add any articles you think might be helpful to read before writing the article --> <!-- Please add any articles you think might be helpful to read before writing the article -->
[Wikipedia Tautology (Logic)](https://en.wikipedia.org/wiki/Tautology_(logic)) - [Wikipedia Tautology (Logic)](https://en.wikipedia.org/wiki/Tautology_(logic))
[Youtube Truth Tables](https://www.youtube.com/watch?v=O0KbymjE7xU) - [Youtube Truth Tables](https://www.youtube.com/watch?v=O0KbymjE7xU)
[Wikipedia Logic Symbols](https://en.wikipedia.org/wiki/List_of_logic_symbols) - [Wikipedia Logic Symbols](https://en.wikipedia.org/wiki/List_of_logic_symbols)
- [Mathonline, Tautologies and Contradictions](http://mathonline.wikidot.com/tautologies-and-contradictions)