Pattern Recognit. Language is contextual and sheaf theory provides a high level mathematical framework to model contextuality. We show how sheaf the- ory can model the contextual nature of natural language and how … Expand. Word Senses. What is the meaning of a word? Unless one believes that we are born with an innate set of meanings waiting to find their corresponding expression in language, another option is that we learn the … Expand. View 1 excerpt, cites background. The Construction of Local Grammars.
Our programme is to use the model of W. Woods to attempt a full scale analysis of the language. It could be viewed as an attempt to revive the Markovian model, but this would be wrong, because … Expand. Computers getting the drift. Computer Science, Medicine. View 2 excerpts, cites background.
Cyclic pregroups and natural language: a computational algebraic analysis. Typical Predicate-Argument Relations 1. There are a number of coUocational constraints in natural languages that ought to play a more important role in natural language parsers. Advanced search Search history. Browse titles authors subjects uniform titles series callnumbers dewey numbers starting from optional.
See what's been added to the collection in the current 1 2 3 4 5 6 weeks months years. Your reader barcode: Your last name:. Cite this Email this Add to favourites Print this page. You must be logged in to Tag Records. Mathematical structures of language [by] Zellig Harris. In the Library Request this item to view in the Library's reading rooms using your library card. Connect and share knowledge within a single location that is structured and easy to search. I would like to get some insight pertaining which kind of space talking or writing is carried out at since he means it is not measured and what kind of contiguous operators work the way he talks about in the last 2 paragraphs.
Talk or writing is not carried out with respect to some measured space. The only distance between any two words of a sentence is the sequence of other words between them. There is nothing in language corresponding to the bars in music, which make it possible, for example, to distinguish rests of different time-lengths. Hence, the only elementary relation between two words in a word sequence is that of being next neighbors.
Any well-formedness for sentence structures must therefore require a contiguous sequence of objects, the only property that makes this sequence a format of the grammar being that the objects are not arbitrary words but words of particular classes or particular classes of words , But the sequence has to be contiguous; it cannot be spread out with spaces in between, because there is no way of identifying or measuring the spaces.
By the same token, the effect of any operation that is defined in language structure, i. No space or distance is defined between operator and operand, Of course, later operators on the resultant may intervene between the earlier operator and its operand, separating them. In the description of the final sentence such separation i.
But in defining the action of the earlier operator on its operand this separation cannot be identified; the separation can only have been due to a later event. If sic follows that if language can have a constructive grammar, then for language there must be available some characterization of its sentences which is based on purely contiguous relations. The contiguity of the successive words is related to this situation, but does not satisfy this requirement, because a sentence characterization cannot be made directly in terms of the successive words in the set of all words sequences.
It is crucial to note that such relation should exclude displacement, that is, movement of the elements. To me in his "Mathematical Structures of Language" this is more or less the context for which he describes how operations are contiguous. Reading anymore into it would certainly be going down the rabbit hole a bit.. While he is describing characteristics of a Language, natural or otherwise, but he is actually speaking about is the grammar rules for a given language but switches between talking about properties of a language and properties of a grammar that define the language without ever giving a prompt to when he is switching context.
Grammars define languages and operators on the languages must specifically act on a sentence or word in the languages such that the grammar of the language is not violated. The grammar will define a linear set of symbols, together making words, together making sentences, and as a whole is a string which is a subset of the language.
Given any string in the language, any operation on to a Word, Sentence, String in the language will be contiguous by merely obeying the rules of the grammar for the language. Note that all strings in any language seem to linear, there is a prefix and suffix to any string of the language, where the contiguous nature of the operands that he speaks of is not speaking of the grammar itself but rather the any final string in the language after the operator has been applied. Think of conjunction in English: I can take two well formed sentences and join them together with a "and" or "but" and the operators are "closed" under contiguousness if you will.
Any contiguous string given to a valid operator in my languages will produce a contiguous string whether that string is in my languages after applying the operator is a matter for the grammar to decide. Remember that this isn't just natural languages in which Harris is speaking.
It could be a binary language, or any arbitrary language of symbols defined by their own grammar and property. Symbols "may" be moved given a a specific operator with respect to their position relative to the magnitude of the string, but their relative positions should not change given an operator. Operator rules are defined by the grammar that defines the language so this may not always be the case. Indicates what is needed to know a language, and that child language requires no special explanatory principles.
Audio recordings with transcripts. Selected Computer Applications. Book of Ongoing Research. String analysis of sentence structure —Karel Pala Aspects of the theory of syntax , by N. Chomsky —H.
Nevin Language and Information —B. Nevin The Legacy of Zellig Harris, vol. Barsky —B. Nevin
0コメント