{"id":1037,"date":"2018-02-16T11:00:56","date_gmt":"2018-02-16T16:00:56","guid":{"rendered":"http:\/\/haleyai.com\/wordpress\/?p=1037"},"modified":"2018-07-14T17:17:27","modified_gmt":"2018-07-14T22:17:27","slug":"believed-by-many","status":"publish","type":"post","link":"http:\/\/haleyai.com\/wordpress\/2018\/02\/16\/believed-by-many\/","title":{"rendered":"&#8216;believed by many&#8217;"},"content":{"rendered":"<p>A <a href=\"http:\/\/haleyai.com\/wordpress\/linguist%e2%84%a2\/\">Linguist <\/a>user recently had a question about part of a sentence that boiled down to something like the following:<\/p>\n<ul>\n<li>It is believed by many.<\/li>\n<\/ul>\n<p>The question was whether &#8220;many&#8221; was an adjective, cardinality, or noun in this sentence.\u00a0 It&#8217;s a reasonable question!<\/p>\n<p><!--more-->In the sentence, &#8216;many&#8217; is the subject of the verb &#8216;believe&#8217;.\u00a0 That is, &#8216;many&#8217; acts as a noun phrase.\u00a0 This would lead you to think that &#8216;many&#8217; should be tagged as &#8216;NNS&#8217; (for plural common noun according to <a href=\"https:\/\/www.ling.upenn.edu\/courses\/Fall_2003\/ling001\/penn_treebank_pos.html\" target=\"_blank\">the Penn Tree-Bank tag-set<\/a>).<\/p>\n<p>For a lexicalized grammar, such as the English Resource Grammar (<a href=\"http:\/\/www.delph-in.net\/erg\/\" target=\"_blank\">ERG<\/a>), this might suggest that a nominal definition of &#8216;many&#8217; would appear in the lexicon.\u00a0 Well, the ERG does not include such a definition (at least not the one this person expected).<\/p>\n<p><span style=\"text-decoration: line-through;\">In general, a cardinality can be promoted to a noun (at least syntactically).\u00a0 Consider, for example, &#8220;the bread was shared among three.&#8221;\u00a0 In this example, there is an implicit noun which there are 3 of, but that noun does not appear in the sentence.<\/span><\/p>\n<p>In the sentence &#8220;three is a number&#8221;, &#8216;three&#8217; is clearly a noun.<\/p>\n<ul>\n<li>Is &#8216;3&#8217; a noun in &#8216;There were 3.&#8221;?<\/li>\n<\/ul>\n<p>Clearly there were 3 of something and whatever that something may be is the &#8220;head&#8221; of the noun phrase uttered as &#8216;3&#8217;.\u00a0 The ERG, being a head-driven phrase structure grammar (<a href=\"https:\/\/en.wikipedia.org\/wiki\/Head-driven_phrase_structure_grammar\" target=\"_blank\">HPSG<\/a>), &#8220;wants&#8221; this nominal head to be modified by &#8220;3&#8221; as a cardinal adjective.<\/p>\n<p>Thus, the ERG treats &#8216;many&#8217; as an adjective that modifies an unexpressed &#8216;generic entity&#8217; (i.e., something nominal but of unknown type or &#8216;sort&#8217;). This shows up as follows for this trivial example:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-semantic-clauses.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1039\" title=\"it is believed by many semantic clauses\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-semantic-clauses.png\" alt=\"\" width=\"829\" height=\"406\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-semantic-clauses.png 829w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-semantic-clauses-300x146.png 300w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>The preceding are the &#8220;semantic&#8221; discriminants.\u00a0 There are additional lexical and syntactic (and some other kinds of) discriminants not shown.<\/p>\n<p>The &#8216;many&#8217; argument in the second line above indicates that the adjective many modifies the same span of text (i.e., that what it modifies is elided). It was this rendering that the user did not understand.\u00a0 In any case, the general heuristic during disambiguation is to chose what is easiest and most certain first.\u00a0 Here, the verbal in which &#8216;many&#8217; is the subject of &#8216;believe&#8217; and &#8216;it&#8217; is its object is the most obviously correct choice.<\/p>\n<p>Indeed, making that choice fully disambiguates the sentence!\u00a0 The full set of implied discriminants is shown below.<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-detailed-clauses.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1041\" title=\"it is believed by many detailed clauses\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-detailed-clauses.png\" alt=\"\" width=\"226\" height=\"422\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-detailed-clauses.png 226w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-detailed-clauses-160x300.png 160w\" sizes=\"auto, (max-width: 226px) 100vw, 226px\" \/><\/a><\/p>\n<p>The resulting logic when rendered with conflation &#8220;all&#8221; and omitting unreferenced Davidsonian variables (aka, events or situations) is as follows:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-functional1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1045\" title=\"it is believed by many functional\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-functional1.png\" alt=\"\" width=\"394\" height=\"299\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-functional1.png 394w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-functional1-300x227.png 300w\" sizes=\"auto, (max-width: 394px) 100vw, 394px\" \/><\/a><\/p>\n<p>The logic appears as follows when rendered with Davidsonian variables (aka event or situational variables) and without conflation:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-no-conflation3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1046\" title=\"it is believed by many no conflation\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-no-conflation3.png\" alt=\"\" width=\"562\" height=\"303\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-no-conflation3.png 562w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/it-is-believed-by-many-no-conflation3-299x161.png 299w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/a><\/p>\n<p>Of course, the conflated logic without the Davidsonian variables is typically how Linguist users prefer to view their logic.<\/p>\n<p>On the other hand, if the application requires temporal or causal knowledge representation or reasoning (KRR), then the Davidsonian variable on &#8216;believe&#8217; (i.e., ?e3) may be critical.<\/p>\n<p>The astute reader may be interested in learning more about the motivation for &#8220;?e14&#8221;, in which case, I recommend <a href=\"https:\/\/www.isi.edu\/~hobbs\/\" target=\"_blank\">Jerry Hobbs<\/a>&#8216; classic, &#8220;<a href=\"https:\/\/pdfs.semanticscholar.org\/0b38\/0f641e115ad426984079f504b21aea9636c5.pdf\" target=\"_blank\">Ontological Promiscuity<\/a>&#8220;.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Linguist user recently had a question about part of a sentence that boiled down to something like the following: It is believed by many. The question was whether &#8220;many&#8221; was an adjective, cardinality, or noun in this sentence.\u00a0 It&#8217;s a reasonable question!<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,16],"tags":[768,765,550,767,529,487,639,530,770,527,191,214,769,763,764,766],"class_list":["post-1037","post","type-post","status-publish","format-standard","hentry","category-formal-logic","category-natural-language","tag-cardinality","tag-davidson","tag-disambiguation","tag-discrimination","tag-english-resource-grammar","tag-erg","tag-head-driven-phrase-structure-grammar","tag-hpsg","tag-jerry-hobbs","tag-linguist","tag-logic","tag-nlp","tag-ontological-promiscuity","tag-parts-of-speech","tag-pos-tagging","tag-treebank"],"_links":{"self":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/1037","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/comments?post=1037"}],"version-history":[{"count":7,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/1037\/revisions"}],"predecessor-version":[{"id":1100,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/1037\/revisions\/1100"}],"wp:attachment":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/media?parent=1037"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/categories?post=1037"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/tags?post=1037"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}