In
linguistics
Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Lingu ...
, X-bar theory is a model of phrase-structure grammar and a theory of syntactic category formation that was first proposed by
Noam Chomsky in 1970
[Chomsky, Noam (1970). Remarks on Nominalization. In: R. Jacobs and P. Rosenbaum (eds.) ''Reading in English Transformational Grammar'', 184–221. Waltham: Ginn.] and further developed by
Ray Jackendoff (1974,
1977a,
1977b
[Jackendoff, Ray (1977b) Constraints on Phrase Structure Rules, in P. W. Culicover, T. Wasow & A. Akmajian (eds.), ''Formal Syntax'', Academic Press, New York, pp. 249–83.]), along the lines of the theory of
generative grammar put forth in the 1950s by Chomsky.
It attempts to capture the structure of
phrasal categories A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
with a single uniform structure called the X-bar schema, basing itself on the assumption that any phrase in
natural language
In neuropsychology, linguistics, and philosophy of language, a natural language or ordinary language is any language that has evolved naturally in humans through use and repetition without conscious planning or premeditation. Natural languages ...
is an XP (X phrase) that is headed by a given
syntactic category X. It played a significant role in resolving issues that
phrase structure rules had, representative of which is the proliferation of grammatical rules, which is against the thesis of generative grammar.
X-bar theory was incorporated into both transformational and nontransformational theories of syntax, including
government and binding theory (GB),
generalized phrase structure grammar (GPSG),
lexical-functional grammar (LFG), and
head-driven phrase structure grammar Head-driven phrase structure grammar (HPSG) is a highly lexicalized, constraint-based grammar
developed by Carl Pollard and Ivan Sag. It is a type of phrase structure grammar, as opposed to a dependency grammar, and it is the immediate successor to ...
(HPSG). Although recent work in the
minimalist program
In linguistics, the minimalist program is a major line of inquiry that has been developing inside generative grammar since the early 1990s, starting with a 1993 paper by Noam Chomsky.
Following Imre Lakatos's distinction, Chomsky presents minima ...
has largely abandoned X-bar schemata in favor of
bare phrase structure approaches, the theory's central assumptions are still valid in different forms and terms in many theories of minimalist syntax.
Background
The X-bar theory was developed to resolve the issues that
phrase structure rules (PSR) under the
Standard Theory
Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguistic ...
[.] had.
The PSR approach has the following four main issues.
# It assumes
exocentric structures
[Phrasal structures that lack a ]head
A head is the part of an organism which usually includes the ears, brain, forehead, cheeks, chin, eyes, nose, and mouth, each of which aid in various sensory functions such as sight, hearing, smell, and taste. Some very simple animals may ...
. such as "S → NP Aux VP". This is contrary to the fact that
phrases have
heads
A head is the part of an organism which usually includes the ears, brain, forehead, cheeks, chin, eyes, nose, and mouth, each of which aid in various sensory functions such as sight, hearing, smell, and taste. Some very simple animals may no ...
in all circumstances.
# While the sentence ''John talked to the man'', for example, involves the PSR of a
verb phrase "VP → V (PP)",
[The parentheses indicate that the ]phrasal category A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
in them is optional. ''John talked to the man in person'' involves the PSR of "VP → V (PP) (PP)". This indicates that it is necessary to posit new PSRs every time when an undefined structure is observed in
E-language, which amounts to adding an indiscriminate number of grammatical rules to
Universal Grammar. This poses serious issues from the perspectives of the
Plato's problem and the
poverty of the stimulus.
# It wrongly rules in structures that are impossible in
natural language
In neuropsychology, linguistics, and philosophy of language, a natural language or ordinary language is any language that has evolved naturally in humans through use and repetition without conscious planning or premeditation. Natural languages ...
such as "VP → NP A PP", because as in 1 and 2, the PSR countenances phrases that do not have
endocentric structures.
[Phrasal structures that include a ]head
A head is the part of an organism which usually includes the ears, brain, forehead, cheeks, chin, eyes, nose, and mouth, each of which aid in various sensory functions such as sight, hearing, smell, and taste. Some very simple animals may ...
.
# It fails to capture sentence ambiguities because it assumes flat, nonhierarchical structures.
The X-bar theory is a theory that attempts to resolve these issues by assuming the mold or template phrasal structure of "XP".
X-bar schema
Basic principles
The "X" in the X-bar theory is equivalent to a
variable in mathematics: It can be substituted by
syntactic categories A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
such as
N,
V,
A, and
P. These categories are
lexemes and not
phrases: The "X-bar" is a grammatical unit larger than X, thus than a lexeme, and the X-double-bar (=XP) outsizes the X(-single)-bar. X-double-bar categories are equal to
phrasal categories A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
such as
NP,
VP,
AP, and
PP.
The X-bar theory assumes that all
phrasal categories A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
have the structure in Figure 1.
This structure is called the X-bar schema.
As in Figure 1, the phrasal category XP is notated by an X with a double overbar. For typewriting reasons, the bar symbol is often substituted by the prime ('), as in X'.
The X-bar theory embodies two central principles.
* Headedness principle: Every phrase has a head.
* Binarity principle: Every
node branches into two different nodes.
The headedness principle resolves the issues 1 and 3 above simultaneously. The binarity principle is important to projection and ambiguity, which will be explained below.
The X-bar schema consists of a head and its circumstantial components, in accordance with the headedness principle.
The relevant components are as follows:
* Specifier:
obligatory">/nowiki>obligatory/nowiki> The node that is in a sister relation with an X' node. This is a term that refers to the syntactic position itself.
* Head
A head is the part of an organism which usually includes the ears, brain, forehead, cheeks, chin, eyes, nose, and mouth, each of which aid in various sensory functions such as sight, hearing, smell, and taste. Some very simple animals may ...
: obligatory">/nowiki>obligatory/nowiki> The core of a phrase, into which a lexeme
A lexeme () is a unit of lexical meaning that underlies a set of words that are related through inflection. It is a basic abstract unit of meaning, a unit of morphological analysis in linguistics that roughly corresponds to a set of forms t ...
fits. The head determines the form and characteristics of the phrase as a whole.
* Complement: obligatory">/nowiki>obligatory/nowiki> An argument required by the head.
* Adjunct
Adjunct may refer to:
* Adjunct (grammar), words used as modifiers
* Adjunct professor, a rank of university professor
* Adjuncts, sources of sugar used in brewing
* Adjunct therapy used to complement another main therapeutic agent, either to impr ...
: optional">/nowiki>optional/nowiki> A modifier for the phrase constituted by the head.
The specifier, head, and complement are obligatory; hence, a phrasal category XP must contain one specifier, one head, and one complement. On the other hand, the adjunct is optional; hence, a phrasal category contains zero or more adjuncts. Accordingly, when a phrasal category XP does not have an adjunct, it forms the structure in Figure 2.
For example, the NP ''linguistics'' in the sentence ''John studies linguistics'' has the structure in Figure 3.
It is important that even if there are no candidates that can fit into the specifier and complement positions, these positions are syntactically present, and thus they are merely empty and unoccupied. (This is a natural consequence of the binarity principle.) This means that all phrasal categories have fundamentally uniform structures under the X-bar schema, which makes it unnecessary to assume that different phrases have different structures, unlike when we adopt the PSR. (This resolves the second issue above.) In the meanwhile, one needs to be wary of when such empty positions are representationally omitted as in Figure 4.
In illustrating syntactic structures this way, at least one X'-level node is present in any circumstance because the complement is obligatory.
Next, the X'' and X' inherit the characteristics of the head X. This trait inheritance is referred to as ''projection''.
Figure 5 suggests that syntactic structures are derived in a bottom-up fashion under the X-bar theory. More specifically, the structures are derived via the following processes.
# A lexeme is fitted into the head. Note that heads are sometimes called ''zero-level projections'' because they are X-zero-bar-level categories, notated as X0.
# The head and the complement are combined to form an X-single-bar (X, X') node, which constitutes a semi-phrasal category (a syntactic category not as big as a phrase). This category is called ''intermediate projection''.
# (An adjunct, if there is any, combines with an X' to form another X'. If there is more than one adjunct, this process is repeated.)
# An intermediate projection combines with the specifier, forming a complete phrasal category XP (X-double-bar). This category is called ''maximal projection''.
It is important that all the processes except for the third are obligatory. This means that one phrasal category necessarily includes X0, X, and XP (=X''). Moreover, nodes bigger than X0 (thus, X and XP nodes) are called constituents.
Directionality of branching
Figures 1–5 are based on the word order of English, but the X-bar schema does not specify the directionality of branching because the binarity principle does not have a rule on it. For example, ''John read a long book of linguistics with a red cover'', which involves two adjuncts, may have either of the structures in Figure 6 or Figure 7. (The figures follow the convention of omitting the inner structures of certain phrasal categories with triangles.)
The structure in Figure 6 yields the meaning ''the book of linguistics with a red cover is long'', and the one in Figure 7 ''the long book of linguistics is with a red cover'' (see also #Hierarchical structure). What is important is the directionality of the nodes N'2 and N'3: One is left-branching, while the other is right-branching. Accordingly, the X-bar theory, more specifically the binarity principle, does not impose a restriction on how a node branches.
When it comes to the head and the complement, their relative order is determined based on the principles-and-parameters model of language, more specifically by the head parameter (not by the X-bar schema itself). A principle
A principle is a proposition or value that is a guide for behavior or evaluation. In law, it is a Legal rule, rule that has to be or usually is to be followed. It can be desirably followed, or it can be an inevitable consequence of something, suc ...
is a shared, invariable rule of grammar across languages, whereas a parameter is a typologically variable aspect of the grammars. One can either set their parameter with the values of "+" or "-": In the case of the head parameter, one configures the parameter of head first/nowiki>, depending on what language they primarily speak. If this parameter is configured to be head first/nowiki>, what results is head-initial languages such as English, and if it is configured to be head first/nowiki>, what results is head-final languages such as Japanese. For example, the English sentence ''John ate an apple'' and its corresponding Japanese sentence ''John-ga ringo-o tabe-ta'' (ジョンがリンゴを食べた; John-NOM apple-ACC eat-PAST) have the structures in Figure 8 and Figure 9, respectively.
Note finally that the directionality of the specifier node is in essence unspecified as well, although this is subject to debate: Some argue that the relevant node is necessarily left-branching across languages, the idea of which is (partially) motivated by the fact that both English and Japanese have subjects on the left of a VP, whereas others such as Saito and Fukui (1998) argue that the directionality of the node is not fixed and needs to be externally determined, for example by the head parameter.
Structure of sentence
Structure of S
Under the PSR, the structure of S (sentence) is illustrated as follows.
* S → NP (Aux) VP
However, this structure violates the headedness principle because it has an exocentric, headless structure, and would also violate the binarity principle if an Aux (auxiliary) occurs, because the S node will then be ternary-branching. Given these, Chomsky (1981) proposed that S is an InflP
In linguistics, X-bar theory is a model of phrase-structure grammar and a theory of syntactic category formation that was first proposed by Noam Chomsky in 1970Chomsky, Noam (1970). Remarks on Nominalization. In: R. Jacobs and P. Rosenbaum (eds.) ...
headed by the functional category Infl(ection), and later in Chomsky (1986a), this category was relabelled as I (hence constitutes an IP), following the notational convention that phrasal categories are represented in the form of XP, with two letters. The category I includes auxiliary verbs such as ''will'' and ''can'', clitics such as ''-s'' of the third person singular present and ''-ed'' of the past tense. This is consistent with the headedness principle, which requires that a phrase have a head, because a sentence (or a clause) necessarily involves an element that determines the inflection of a verb.
Assuming that S constitutes an IP, the structure of the sentence ''John studies linguistics at the university'', for example, can be illustrated as in Figure 10.
As is obvious, the IP hypothesis makes it possible to regard the grammatical unit of sentence as a phrasal category. It is also important that the configuration in Figure 10 is fully compatible with the central assumptions of the X-bar theory, namely the headedness principle and the binarity principle.
Structure of S'
Words that introduce subordinate or complement clauses are called complementizers, and representative of them are ''that'', ''if'', and ''for.'' Under the PSR, complement clauses were assumed to constitute the category S'.[Bresnan, Joan (1972) ''Theory of Complementation in English Syntax'', Doctoral dissertation, MIT.]
* S' → COMP S
Chomsky (1986a) proposed that this category is in fact a CP headed by the functional category C. The sentence ''I think that John is honest'', for example, then has the following structure.
Moreover, Chomsky (1986a) assumes that the landing site of wh-movement is the specifier position of CP (Spec-CP). Accordingly, the wh-question ''What did John eat?'', for example, is derived as in Figure 12.
In this derivation, the I-to-C movement is an instance of subject-auxiliary inversion (SAI), or more generally, head movement.
Other phrasal structures
* VP-internal subject hypothesis: A hypothesis on the inner structure of VP proposed by researchers such as Fukui and Speas (1986) and Kitagawa (1986). It assumes that the sentential subject is base-generated in Spec-VP, not in Spec-IP.
* DP Hypothesis: A hypothesis proposed by Abney (1987), according to whom noun phrases are not NPs but DPs headed by the functional category D.
* VP shell: An analysis put forth by Larson (1988), which assumes two-layered structures of VP. Later in Chomsky (1995), the higher VP was replaced by ''v''P headed by the functional category ''v'' (little/small v, traditionally written in italics).
* PredP Hypothesis: A hypothesis proposed by Bowers (1993, 2001), according to whom small clauses[Stowell, Timothy (1981). ''Origins of Phrase Structure''. Doctoral dissertation, MIT.] are PredPs headed by the functional category Pred.
* Bare Phrase Structure (BPS): A theory put forth by Chomsky (1995) as a replacement of the X-bar theory. It dispenses with a "template" structure like the X-bar schema, and yields syntactic structures by (iterative applications of) an operation called Merge, which serves to connect two syntactic objects such as words and phrases into one. Some radical versions of it even reject syntactic category labels such as V and A. See also Minimalist Program
In linguistics, the minimalist program is a major line of inquiry that has been developing inside generative grammar since the early 1990s, starting with a 1993 paper by Noam Chomsky.
Following Imre Lakatos's distinction, Chomsky presents minima ...
.
Hierarchical structure
The PSR has the shortcoming of being incapable of capturing sentence ambiguities.
* I saw a man with binoculars.
This sentence is ambiguous between the reading ''I saw a man, using binoculars'', in which ''with binoculars'' modifies the VP, and the reading ''I saw a man who had binoculars'', in which the PP modifies the NP. Under the PSR model, the sentence above is subject to the following two parsing rules.
* S → NP VP
* VP → V NP PP
The sentence's structure under these PSRs would be as in Figure 13.
It is obvious that this structure fails to capture the NP modification reading because PP with binoculars">sub>PP with binocularsmodifies the VP no matter how one tries to illustrate the structure. The X-bar theory, however, successfully captures the ambiguity as demonstrated in the configurations in Figure 14 and 15 below, because it assumes hierarchical structures in accordance with the binarity principle.
Thus, the X-bar theory resolves the fourth issue mentioned in #Background as well. Note that there is always a unilateral relation from syntax to semantics (never from semantics to syntax) in any version of generative grammar because syntactic computation starts from the lexicon
A lexicon is the vocabulary of a language or branch of knowledge (such as nautical or medical). In linguistics, a lexicon is a language's inventory of lexemes. The word ''lexicon'' derives from Koine Greek language, Greek word (), neuter of () ...
, then continues into the syntax, then into Logical Form
In logic, logical form of a statement is a precisely-specified semantic version of that statement in a formal system. Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambig ...
(LF) at which meanings are computed. This is so under any of Standard Theory
Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguistic ...
(Chomsky 1965), Extended Standard Theory
Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguistics ...
(Chomsky 1972), and Revised Extended Standard Theory (Chomsky 1981).
Footnotes
References
See also
* Linguistics
Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Lingu ...
* Natural language
In neuropsychology, linguistics, and philosophy of language, a natural language or ordinary language is any language that has evolved naturally in humans through use and repetition without conscious planning or premeditation. Natural languages ...
* Syntax
In linguistics, syntax () is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure ( constituency) ...
* Constituent (linguistics)
In syntactic analysis, a constituent is a word or a group of words that function as a single unit within a hierarchical structure. The constituent structure of sentences is identified using ''tests for constituents''. These tests apply to a portio ...
* Parse tree
A parse tree or parsing tree or derivation tree or concrete syntax tree is an ordered, rooted tree that represents the syntactic structure of a string according to some context-free grammar. The term ''parse tree'' itself is used primarily in co ...
* Head (linguistics)
* Complement (linguistics)
In grammar, a complement is a word, phrase, or clause that is necessary to complete the meaning of a given expression. Complements are often also arguments (expressions that help complete the meaning of a predicate).
Predicative, subject an ...
* Phrase
* Syntactic category
* Lexical category
In grammar, a part of speech or part-of-speech (abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties. Words that are ass ...
* Functional category A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun, verb, preposition, etc.), are syntactic categories. In phrase structure grammars, the ''phrasal c ...
* Part of speech
In grammar, a part of speech or part-of-speech ( abbreviated as POS or PoS, also known as word class or grammatical category) is a category of words (or, more generally, of lexical items) that have similar grammatical properties. Words that are as ...
* Node (linguistics)
In formal syntax, a node is a point in a tree diagram or syntactic tree that can be assigned a syntactic category label.
Nodes under phrase structure rules
Before the emergence of the X-bar theory, thus in the period between Chomsky (1957) a ...
* Generative grammar
* Universal Grammar
* Plato's problem
* Poverty of the stimulus
* Transformational grammar
* Phrase structure grammar
The term phrase structure grammar was originally introduced by Noam Chomsky as the term for grammar studied previously by Emil Post and Axel Thue ( Post canonical systems). Some authors, however, reserve the term for more restricted grammars in ...
* Phrase structure rule
Phrase structure rules are a type of rewrite rule used to describe a given language's syntax and are closely associated with the early stages of transformational grammar, proposed by Noam Chomsky in 1957. They are used to break down a natural lang ...
* Standard Theory
Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguistic ...
* Extended Standard Theory
Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguistics ...
* Revised Extended Standard Theory
* Government and binding theory
* C-command
* Principles-and-parameters approach
Principles and parameters is a framework within generative linguistics in which the syntax of a natural language is described in accordance with general ''principles'' (i.e. abstract rules or grammars) and specific ''parameters'' (i.e. markers, sw ...
* Minimalist Program
In linguistics, the minimalist program is a major line of inquiry that has been developing inside generative grammar since the early 1990s, starting with a 1993 paper by Noam Chomsky.
Following Imre Lakatos's distinction, Chomsky presents minima ...
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