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CarterT27 committed Sep 27, 2024
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Expand Up @@ -97,3 +97,18 @@ Truth Table - deducing the truth value of complicated mathematical statements us
> [!remark] Suppose $P\lor Q$ is true
> Some people might think that exactly one of $P,Q$ is true.
> However, it just means they are not both false.
## Summary

What is a mathematical statement?
Can build complicated statements using logical connectives.
Properties of logical statements are given by truth tables.
Truth values of complicated statements can be determined if we know the truth values of the atomic statements.

> [!example] $(\neg P) \lor Q$
> | $P$ | $Q$ | $(\neg P) \lor Q$ |
> | --- | --- | --- |
> | T | T | T |
> | T | F | F |
> | F | T | T |
> | F | F | T |

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