Computational Complexity, Mathematical Linguistics, and Linguistic Theory

1987 ◽  
pp. 1 ◽  
Author(s):  
Robert C. Berwick
Keyword(s):  
Computational Complexity ◽  
Mathematical Linguistics ◽  
Linguistic Theory

scholarly journals Some preliminaries to the study of traces in linguistics

2019 ◽  
Vol 29 (2) ◽  
pp. 154-187
Author(s):  
Javier Arias
Keyword(s):  
Programming Language ◽  
Preliminary Analysis ◽  
Mathematical Linguistics ◽  
Linguistic Theory ◽  
Matrix Product ◽  
Mathematical Structures ◽  
Noam Chomsky ◽  
Ongoing Work ◽  
Matrix Calculus ◽  
To Come

The present paper constitutes a brief advance of much longer and more detailed ongoing work on the concept of “trace” in contemporary linguistic theory, particularly in syntax. It is commonly believed that the idea was coined by Noam Chomsky. However, we already detect its use, with a very accurate value, in the early work of Zellig Harris on mathematical linguistics or, to be more precise, on mathematical structures of language. In its origins, rather than being an index responsible for marking the location occupied by a unit previous to its syntactic movement (which always takes the form of fronting ), the trace was the result of a matrix product between n-adic functions. Thus, in Harris the trace is primarily a concept anchored in matrix calculus, or, put it differently, an algebraic notion. Chomsky’s notion, on its turn, is closely related with the LISP programming language. This text seeks to provide a preliminary analysis of the conceptual complexity implied in the concept of trace, which linguists should become aware of, for otherwise they will be doomed to be entangled in misunderstandings unfruitful to our discipline for decades to come.

The Arabic Origins of English and Indo-European “Definite Articles”: A Radical Linguistic Theory Approach

2016 ◽  
Vol 4 (6) ◽  
pp. 26
Author(s):  
Zaidan Ali Jassem
Keyword(s):  
Comparative Method ◽  
Linguistic Theory ◽  
General Level ◽  
Theory Approach ◽  
Tree Model ◽  
Linguistic Change ◽  
European Languages ◽  
The Family ◽  
Different Types ◽  
Definite Articles

This paper traces the Arabic origins or cognates of the “definite articles” in English and Indo-European languages from a radical linguistic (or lexical root) theory perspective. The data comprises the definite articles in English, German, French, Spanish, Portuguese, Italian, Romanian, Latin, Greek, Macedonian, Russian, Polish, Sanskrit, Hindi, Bengali, Persian, and Arabic. The results clearly indicate that five different types of such articles emerged in the data, all of which have true Arabic cognates with the same or similar forms and meanings, whose differences are due to natural and plausible causes and different routes of linguistic change, especially lexical, semantic, or morphological shift. Therefore, the results support the adequacy of the radical linguistic theory according to which, unlike the Family Tree Model or Comparative Method, Arabic, English, German, French, Latin, Greek, and Sanskrit not only belong to the same language family, renamed Eurabian or Urban family, but also are dialects of the same language, with Arabic being their origin all because only it shares the whole cognates with them all and because it has a huge phonetic, morphological, grammatical, and lexical variety. They also manifest fundamental flaws and grave drawbacks which plague English and Indo-European lexicography for ignoring Arabic as an ultimate ancestor and progenitor not only in the treatment of the topic at hand but in all others in general. On a more general level, they also show that there is a radical language from which all human languages stemmed and which has been preserved almost intact in Arabic, thus being the most conservative and productive language

Language and Outer Space

2018 ◽  
Vol 7 (1) ◽  
pp. 80-87
Author(s):  
Laura Carmen Cuțitaru
Keyword(s):  
20Th Century ◽  
Native Language ◽  
Outer Space ◽  
Linguistic Theory ◽  
Human Knowledge ◽  
The Way

Abstract The 2016 much acclaimed American sci-fi movie Arrival is based on (what is in reality an extension of) the so-called “Sapir-Whorf” hypothesis, a linguistic theory set forth in the first half of the 20th century, according to which one’s native language dictates the way in which one perceives reality. By taking into account the latest in human knowledge, this paper tries to provide arguments as to why such a claim works wonderfully in fiction, but not in science.

Bipolar Abstract Argumentation with Dual Attacks and Supports

2020 ◽  
Author(s):  
Nico Potyka
Keyword(s):  
Computational Complexity ◽  
Decision Problems ◽  
Abstract Argumentation ◽  
Stable Semantics ◽  
Support Relations ◽  
Support Relationships ◽  
Computational Properties ◽  
Inherent Tendency

Bipolar abstract argumentation frameworks allow modeling decision problems by defining pro and contra arguments and their relationships. In some popular bipolar frameworks, there is an inherent tendency to favor either attack or support relationships. However, for some applications, it seems sensible to treat attack and support equally. Roughly speaking, turning an attack edge into a support edge, should just invert its meaning. We look at a recently introduced bipolar argumentation semantics and two novel alternatives and discuss their semantical and computational properties. Interestingly, the two novel semantics correspond to stable semantics if no support relations are present and maintain the computational complexity of stable semantics in general bipolar frameworks.

New Directions in the Computational Analysis of Biblical Hebrew Grammar

2018 ◽  
Vol 27 (1) ◽  
Author(s):  
Cynthia Miller-Naudé ◽  
Jacobus A Naudé
Keyword(s):  
Southern Hemisphere ◽  
Hebrew Bible ◽  
North American ◽  
Computational Analysis ◽  
Biblical Hebrew ◽  
Linguistic Theory ◽  
Linguistic Variation ◽  
European Database ◽  
New Directions ◽  
African Context

The concern of the paper is to highlight how computational analysis of Biblical Hebrew grammar can now be done in very sophisticated ways and with insightful results for exegesis. Three databases, namely, the Eep Talstra Centre for Bible and Computer (ETCBC) Database, the Accordance Hebrew Syntactic Database, and the Andersen-Forbes Syntactic Database,are compared in terms of their relation to linguistic theory (or, theories), the nature and spectrum of retrieved data, and the representation of synchronic and diachronic linguistic variation. Interaction between different contexts, including the African context, are promoted namely between linguists working on Biblical Hebrew and exegetes working on the Hebrew Bible by illustrating how exegesis and language are intimately connected, as well as among geographical contexts by comparing a European database (ETCBC), a North American database (Accordance) and a Southern hemisphere database (Andersen-Forbes).

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