Conjunction (and)
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).