# The Laws of Thought

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The Laws of Thoughts are the fundamental axioms of rational logic as it is practised by humans. They are of specific interest to philosophers and logicians alike.

A violation of these laws is either impossible or paradoxical. Many logic puzzles hinge around these properties of logic.

## Law of Identity

Whatever is, is.

$\left ( P = P \right ) \forall P$

## Law of Non-Contradiction

Nothing can be and not be.

$\sim \left ( P = ( \sim P ) \right ) \forall P$

## Law of Excluded Middle

Everything must be or not be.

$\left ( P \lor ( \sim P ) \right ) \forall P$

**Cite as:**The Laws of Thought.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/the-laws-of-thought/