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# Conjunction (and)

_{ Jan 01 . 2003 }

Any two propositions **P** and **Q** can be conjoined, producing the new, complex, proposition:

**P and Q**

The proposition **P and Q** is true if and only if both **P** and **Q** are true. It is false otherwise.

## Truth Table

P | Q | P and Q |

T | T | T |

T | F | F |

F | T | F |

F | F | F |

## Examples

“Experts and studies agree vaccination against COVID-19 provide safer and better protection over natural immunity.” Damage control. Note the phrase “safer and better.” “Better” alone would be a clear falsehood (though you can always find an expert and study somewhat to support a falsehood).

Jay Richards, commenting on a Twitter Moment (January 21, 2022).