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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

PQ P and Q
TT  T
TF  F
FT  F
FF  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).