Scope: Difference between revisions

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A phrase's '''scope''' is the part of the sentence that that phrase's semantics apply to.
A phrase's '''scope''' is the region of the sentence in which that phrase's meaning applies.
 
== Quantifier scope ==
 


<div class="figure" style="text-align:center;margin:0em 1em">
<div class="figure" style="text-align:center;margin:0em 1em">
{{Scope|red|<b>Ꝡa</b> chı sá poq, {{Scope|#0bf|<b>ꝡä</b> faq tú huı kûı sá raı.}}}}
{{Scope|red|<b>Ꝡa</b> chı sá poq, {{Scope|#09f|<b>ꝡä</b> faq tú huı kûı sá raı.}}}}
<p style="margin:2px 2px 2em;font-size:12px">[[Complementizer]]s create scopes.</p>
<p style="margin:2px 2px 2em;font-size:12px">[[Complementizer]]s create scopes.</p>
{{Scope|red|Ꝡa chı <b>sá</b> poq, {{Scope|#0bf|ꝡä faq <b>tú</b> huı kûı <b>sá</b> raı.}}}}
{{Scope|red|Ꝡa chı <b>sá</b> poq, {{Scope|#09f|ꝡä faq <b>tú</b> huı kûı <b>sá</b> raı.}}}}
<p style="margin:2px 2px 2em;font-size:12px">[[Determiner]]s are limited by scopes.</p>
<p style="margin:2px 2px 2em;font-size:12px">[[Determiner]]s are limited by scopes.</p>
{{Scope|red|<small>∃ poq:</small> Ꝡa chı <b>póq</b>, {{Scope|#0bf|<small>∀ huı: ∃ raı:</small> ꝡä faq <b>húı</b> kûı <b>ráı</b>.}}}}
{{Scope|red|<small>∃ poq:</small> Ꝡa chı <b>póq</b>, {{Scope|#09f|<small>∀ huı: ∃ raı:</small> ꝡä faq <b>húı</b> kûı <b>ráı</b>.}}}}
<p style="margin:2px;font-size:12px">Determiners imply [[quantifier]]s at the start of the scope.</p>
<p style="margin:2px;font-size:12px">Determiners imply [[quantifier]]s at the start of the scope.</p>
</div>
</div>


For example, the scope of a [[determiner]] that introduces a logical quantifier is the ''smallest'' [[clause]] it's in. This means that the interpretation of the quantification happens in that smallest clause, and not at the level of the entire sentence:
A [[determiner]] introduces a logical quantifier whose scope is the ''smallest'' [[clause]] it's in. This means that the interpretation of the quantification happens in that smallest clause, and not at the level of the entire sentence:


<blockquote>
<blockquote>
{{t|Shoe jí {{vy}}ä kuq súq <u>sía</u> raı da.}}<br>
{{t|Shoe jí ꝡä kuq súq <u>sía</u> raı da.}}<br>
'''means:''' “I allow you to say <u>nothing</u>.” (i.e. I allow you to shut up)<br>
'''means:''' “I allow you to say <u>nothing</u>.” (i.e. I allow you to shut up)<br>
'''not:''' ❌ “There is nothing that I allow you to say.”
'''not:''' ❌ “There is nothing that I allow you to say.”
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Here, the scope of {{t|sía}} is the clause “{{t|{{vy}}ä kuq súq sía raı}}”.
Here, the scope of {{t|sía}} is the clause “{{t|{{vy}}ä kuq súq sía raı}}”.
=== What creates scope boundaries? ===
Scope boundaries are created by complementizers like {{t|ꝡä}} and {{t|mä}}, but also by certain other words.
[[Object incorporation]] creates a small scope boundary for just the verb and the incorporated object.
<blockquote>
{{Scope|red|<b>Ꝡa</b> he pua báq poq {{Scope|#ea0|joe <b>tû</b> raı}} <b>sía</b> raı da.}}<br>
“People <u>who are good at everything</u> don't enjoy anything.”<br>
('''not:''' “For all ''x'', people who are good at ''x'' don't enjoy anything.”)
</blockquote>
Similarly, any [[predicatizer]] ({{t|po, jeı, mea}}) creates a small scope boundary for itself and its incorporated object.
<blockquote>
{{Scope|red|<b>Ma</b> mala kaqgaı súq fóto {{Scope|#ea0|<b>po</b> <b>tú</b> poq}} móq?}}<br>
“Have you seen the picture <u>of everyone</u>?”<br>
('''not:''' “Have you, for all ''x'', seen ''x''’s picture?”)
</blockquote>
The [[cleft verb]] {{t|nä}} creates a scope boundary to its right.
<blockquote>
{{Scope|red|2=<b>Ꝡa</b> êa, {{Scope|#09f|<b>ꝡä</b> jıq báq majı,}} {{Scope|#0a0|<b>nä</b> geq há <b>sá shıtuaq</b>}} da.}}<br>
“If magic were real, there would be unicorns one could meet.”<br>
('''not:''' “There are some unicorns ''x'', that if magic were real, one could meet ''x''.”)
</blockquote>
The [[event accessor]] verb {{t|ë}} creates a scope boundary for its clause.
<blockquote>
{{Scope|red|2=<b>Ꝡa</b> luı ca ní zuetue {{Scope|#0a0|<b>é</b> jaı <b>sía</b> choaq}} da.}}
<br>
“This emergency has caused <u>that no guest is happy</u>.”<br>
('''not:''' “This emergency hasn't caused any guest's happiness.”)
</blockquote>


== Clefting and scope ==
== Clefting and scope ==
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See [https://toaq.net/refgram/syntax/#the_cleft_verb The cleft verb] in the [[refgram]].
See [https://toaq.net/refgram/syntax/#the_cleft_verb The cleft verb] in the [[refgram]].


<!--
== "Scoping over" ==
== "Scoping over" ==
For two phrases X and Y, if the scope of X fully includes the scope of Y, then we say “X '''scopes over''' Y”.
For two phrases X and Y, if the scope of X fully includes the scope of Y, then we say “X '''scopes over''' Y”.
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This amounts to a claim about the ''order'' to apply their respective semantics in.
This amounts to a claim about the ''order'' to apply their respective semantics in.


<!-- For example: [[adverbial|high adverbials]] "scope over" the verb of the clause they're in. Thus, the sentence {{t|Dảı ní bũ da}} is interpreted as <math>\neg \text{possible}(\text{this})</math> “this isn't possible” rather than <math>\text{possible}(\neg \text{this})</math> “this is possibly false”. -->
For example: [[adverbial|high adverbials]] "scope over" the verb of the clause they're in. Thus, the sentence {{t|Dảı ní bũ da}} is interpreted as <math>\neg \text{possible}(\text{this})</math> “this isn't possible” rather than <math>\text{possible}(\neg \text{this})</math> “this is possibly false”. -->


== Scope creep ==
== Scope creep ==
<div class="figure" style="text-align:center">
<div class="figure" style="text-align:center">
{{Scope|red|<b>Ꝡa</b> shoe jí, {{Scope|#0bf|<b>ꝡä</b> kuq súq <b>sía</b> raı.}}}}
{{Scope|red|<b>Ꝡa</b> shoe jí, {{Scope|#09f|<b>ꝡä</b> kuq súq <b>sía</b> raı.}}}}
<p style="margin:2px 2px 2em;font-size:12px">{{t|Sía}} has its scope limited by {{t|ꝡä}}.</p>
<p style="margin:2px 2px 2em;font-size:12px">{{t|Sía}} has its scope limited by {{t|ꝡä}}.</p>
{{Scope|red|<b>Ꝡa</b> shoe kuq jí súq <b>sía</b> raı.}}
{{Scope|red|<b>Ꝡa</b> shoe kuq jí súq <b>sía</b> raı.}}
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However, the {{t|{{vy}}ä}} clause that was limiting the scope of {{t|sía}} is now gone, which means that {{t|sía}} scopes over the whole sentence. The meaning of the sentence is thereby changed to ''“There is nothing that I allow you to say”''.
However, the {{t|{{vy}}ä}} clause that was limiting the scope of {{t|sía}} is now gone, which means that {{t|sía}} scopes over the whole sentence. The meaning of the sentence is thereby changed to ''“There is nothing that I allow you to say”''.
== See also ==
* [[Negation]]

Latest revision as of 16:08, 23 July 2024

A phrase's scope is the region of the sentence in which that phrase's meaning applies.

Quantifier scope

Ꝡa chı sá poq, ꝡä faq tú huı kûı sá raı.

Complementizers create scopes.

Ꝡa chı poq, ꝡä faq huı kûı raı.

Determiners are limited by scopes.

∃ poq: Ꝡa chı póq, ∀ huı: ∃ raı: ꝡä faq húı kûı ráı.

Determiners imply quantifiers at the start of the scope.

A determiner introduces a logical quantifier whose scope is the smallest clause it's in. This means that the interpretation of the quantification happens in that smallest clause, and not at the level of the entire sentence:

Shoe jí ꝡä kuq súq sía raı da.
means: “I allow you to say nothing.” (i.e. I allow you to shut up)
not: ❌ “There is nothing that I allow you to say.”

Here, the scope of sía is the clause “ꝡä kuq súq sía raı”.

What creates scope boundaries?

Scope boundaries are created by complementizers like ꝡä and , but also by certain other words.

Object incorporation creates a small scope boundary for just the verb and the incorporated object.

Ꝡa he pua báq poq joe raı sía raı da.
“People who are good at everything don't enjoy anything.”
(not: “For all x, people who are good at x don't enjoy anything.”)

Similarly, any predicatizer (po, jeı, mea) creates a small scope boundary for itself and its incorporated object.

Ma mala kaqgaı súq fóto po poq móq?
“Have you seen the picture of everyone?”
(not: “Have you, for all x, seen x’s picture?”)

The cleft verb creates a scope boundary to its right.

Ꝡa êa, ꝡä jıq báq majı, geq há sá shıtuaq da.
“If magic were real, there would be unicorns one could meet.”
(not: “There are some unicorns x, that if magic were real, one could meet x.”)

The event accessor verb ë creates a scope boundary for its clause.

Ꝡa luı ca ní zuetue é jaı sía choaq da.
“This emergency has caused that no guest is happy.”
(not: “This emergency hasn't caused any guest's happiness.”)

Clefting and scope

If we want to say the other thing, we have to lift sía out of the clause by clefting it to the main clause:

Sía raı nä shoe jí ꝡä kuq súq ráı da.
There is nothing that I allow you to say. (i.e. I ban you from talking)

See The cleft verb in the refgram.


Scope creep

Ꝡa shoe jí, ꝡä kuq súq sía raı.

Sía has its scope limited by ꝡä.

Ꝡa shoe kuq jí súq sía raı.

Removing ꝡä changes the scope.

One common mistake is to rephrase sentences involving ꝡä using a serial verb, under the impression that the meaning stays the same:

Shoe jí ꝡä kuq súq sía raı da.
“I allow you to say nothing.” (I allow you to shut up)
→ 🤔 Shoe kuq jí súq sía raı da.
“I allow-to-say you nothing.” (I ban you from talking)

However, the ꝡä clause that was limiting the scope of sía is now gone, which means that sía scopes over the whole sentence. The meaning of the sentence is thereby changed to “There is nothing that I allow you to say”.

See also