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'''Plural logic''' is logic that permits "plural quantification", i.e., allows for variables to also take on plural values, such as “''x'' = the cat and the dog (together)”, or “''y'' = all of the students”.
'''Plural logic''' is logic that permits '''plural quantification''', i.e., allows for variables to also take on plural values, such as “''x'' = the cat and the dog (together)”, or “''y'' = all of the students”.


Often, to drive this point home, the variables will be named like ''xx'' and ''yy''.
Often, to drive this point home, the variables will be named like ''xx'' and ''yy''.
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Toaq is based on such logic:
Toaq is based on such logic:
* When you say {{t|tu pỏq}}, the domain ranged over by the variable {{t|póq}} is not only each person, but all “people-s”, including all pairs and triples and groups of people. (If this is undesirable, there's {{t|tushı}}, which only ranges over singular values. See [[Quantifier]].)
* When you say {{Derani|󱚺󱛊󱚺 󱛘󱚳󱛃󱛂󱛙|sá poq}}, the domain ranged over by the variable {{Derani|󱚳󱛊󱛃󱛂|póq}} is not only that of each individual person, but of all “people-s”, including all pairs and triples and groups of people. (If this is undesirable, there's {{Derani|󱚺󱛊󱚺 󱛘󱚳󱛃󱛂󱛙 󱛀󱚹|sá poq shı}}, which only ranges over singular values. See [[Quantifier]].)
* In fact, numbers in Toaq have definitions like {{t|saq}}: ___ (plural) are three in number.”
* Numbers can be turned into verbs with the prefix {{Derani|󱚵󱚴󱛒|ne-}}, giving words like {{Derani|󱚵󱚴󱛒󱚺󱚺󱛂|nẹsaq}} “___ (plural) are three in number.”


== See also ==
== See also ==
* ''[[Plural Predication]]'', a pretty cool book on this topic.
* ''[[Plural Predication]]'', a pretty cool book on this topic.
* [https://en.wikipedia.org/wiki/Plural_quantification Plural quantification] on Wikipedia.