Download Category Neutrality: A Type-Logical Investigation by Neil Whitman PDF

By Neil Whitman

"Feature neutrality" is an argument that has got a lot consciousness between linguists. for instance, think of the sentence, "I have by no means, and should by no means, placed my identify in this document." right here, the verb 'put' acts concurrently as a earlier participle (as in "have by no means put") and a base shape (as in "will by no means put"), and is as a result stated to be impartial among the 2 types. comparable examples were came across for plenty of languages.
The authorised knowledge is that neutrality is feasible just for morphosyntactic gains resembling verb shape, gender, quantity, declension class-not on the point of gross syntactic classification, the place the semantic changes are extra major. In different phrases, it's been claimed that "category neutrality," the place a note or word is used at the same time with multiple syntactic classification, doesn't exist. (A well-known instance is the obvious ungrammaticality of this sentence, during which "can" is used concurrently as a first-rate verb and auxiliary verb: "I can tuna and get a brand new job.") during this publication, despite the fact that, Neal Whitman exhibits that class neutrality does exist in English. This not just demanding situations the present considering, but additionally increases foundational questions about the character of ambiguity.

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Extra info for Category Neutrality: A Type-Logical Investigation (Outstanding Dissertations in Linguistics)

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In other words, any proof involving Cut can be converted into a proof without Cut. This claim was proven by Gentzen (1934), and extended to the Associative Lambek Calculus by Lambek (1958). For an explanation of the algorithm for converting a proof to a Cut-free proof, see Moortgat (1997:108–110). With Cut removed from the inventory of rules, it is possible to see how the Gentzen sequent calculus allows decidability: In each L or R rule (reading from bottom to top—in other words, starting from the sequent to be proven), a constructor is eliminated, so that each branch of the tree will ultimately end in a premise containing no constructors at all.

1 Categories The syntactic categories are members of a set which will be notated (following Carpenter 1997) as Cat. BasCat is the subset of Cat consisting of the basic, or atomic categories. , sentences, common nouns, and noun phrases, although other basic categories will be introduced later in this dissertation. Complex categories arise when two or more categories are combined by a category constructor; for now, the set of category constructors will be taken to consist of /, \, and •. The set Cat is the transitive closure of BasCat under all category constructors, and can thus be recursively defined as in (18): (18) a.

As Zaenen and Karttunen say in introducing the APO (p. ” This is a stance that seems quite reasonable, and which will be explored further later in this dissertation, especially in Chapter 4. Nevertheless, Bayer does highlight a troubling point about formalizing category neutrality in a typelogical grammar: It does not matter whether there exists a reasonable set of guidelines for determining whether a word is ambiguous or neutral. Even if it can be determined with 100% accuracy whether any given word is ambiguous or neutral, the two are formally indistinguishable in a type-logical grammar under current definitions.

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