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A '''determiner''' is a particle that consumes a predicate phrase and produces a noun phrase. | A '''determiner''' is a particle that consumes a predicate phrase and produces a noun phrase. | ||
For example: {{t| | For example: {{t|sá}} “some” is a determiner, {{t|bıo}} “…is a cup” is a predicate phrase, and {{t|sa bıo}} is a noun phrase meaning “some cup(s)”. | ||
== Determiner particles == | == Determiner particles == | ||
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! Word !! Meaning | ! Word !! Meaning | ||
|- | |- | ||
| {{t| | | {{t|◌́}} || X (bound to something) | ||
|- | |- | ||
| {{t| | | {{t|sá}} || some X | ||
|- | |- | ||
| {{t| | | {{t|tú}} || every/each X | ||
|- | |- | ||
| {{t| | | {{t|túq}} || all X | ||
|- | |- | ||
| {{t| | | {{t|sía}} || no X | ||
|- | |- | ||
| {{t| | | {{t|hú}} || endophoric determiner | ||
|- | |- | ||
| {{t| | | {{t|ké}} || exophoric determiner | ||
|- | |- | ||
| {{t| | | {{t|báq}} || X in general, X-[[kind]] | ||
|- | |- | ||
| {{t| | | {{t|já}} || λX | ||
|- | |- | ||
| {{t|hı}} || which X? | | {{t|hı}} || which X? | ||
|} | |} | ||
== Semantics == | == Semantics == | ||
Formally, grammatical determiners tend to correspond to logical '''quantifiers''' over a now-bound variable, plus an | Formally, grammatical determiners tend to correspond to logical '''quantifiers''' over a now-bound variable, plus an occurrence of that variable. For example, the {{t|sa}} determiner corresponds to the <math>\exists</math> quantifier. The tagged predicate phrase doubles both as a ''domain'' and a ''name'' for the variable. | ||
In short, {{t| | In short, {{t|sá bıo}} does three things: | ||
# <span style="color:brown">introduces</span> an existentially bound variable {{t|bío}} to the clause; | # <span style="color:brown">introduces</span> an existentially bound variable {{t|bío}} to the clause; | ||
# <span style="color:chocolate">specifies</span> that it refers to a cup (or some cups: see [[plural logic]]); | # <span style="color:chocolate">specifies</span> that it refers to a cup (or some cups: see [[plural logic]]); | ||
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<blockquote> | <blockquote> | ||
{{t| | {{t|Heaq jí <u>sá bıo</u>.}}<br> | ||
<math> | <math> | ||
{\color{brown} \underbrace{\exists \textsf{bio}:}_{1}} | {\color{brown} \underbrace{\exists \textsf{bio}:}_{1}} | ||
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=== Every, each, all === | === Every, each, all === | ||
{{t| | {{t|tú bıo}} quantifies over the range of "cups-es". The possible values of {{t|bío}} include not only individual cups, but also groups of cups. A group of cups is also a {{t|bio}}, after all. | ||
This can lead to surprising behavior: see below. | This can lead to surprising behavior: see below. |
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