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  1. Axiomathes
  2. Axiomathes : Volume 16
  3. Axiomathes : Volume 16, Issue 4, December 2006
  4. Universal Grammar as a Theory of Notation
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Axiomathes : Volume 27
Axiomathes : Volume 26
Axiomathes : Volume 25
Axiomathes : Volume 24
Axiomathes : Volume 23
Axiomathes : Volume 22
Axiomathes : Volume 21
Axiomathes : Volume 20
Axiomathes : Volume 19
Axiomathes : Volume 18
Axiomathes : Volume 17
Axiomathes : Volume 16
Axiomathes : Volume 16, Issue 4, December 2006
Beyond Descartes: Panpsychism Revisited
The Meaning of Category Theory for 21st Century Philosophy
Universal Grammar as a Theory of Notation
On Tichy’s determiners and Zalta’s abstract objects
Third culture: cybersemiotic’s inclusion of a biosemiotic theory of mind
Axiomathes : Volume 16, Issue 3, September 2006
Axiomathes : Volume 16, Issue 1-2, March 2006
Axiomathes : Volume 15
Axiomathes : Volume 14
Axiomathes : Volume 13
Axiomathes : Volume 12
Axiomathes : Volume 11
Axiomathes : Volume 10
Axiomathes : Volume 9
Axiomathes : Volume 8

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Universal Grammar as a Theory of Notation

Content Provider Springer Nature Link
Author Petel, Humphrey P. Polanen
Copyright Year 2006
Abstract What is common to all languages is notation, so Universal Grammar can be understood as a system of notational types. Given that infants acquire language, it can be assumed to arise from some a priori mental structure. Viewing language as having the two layers of calculus and protocol, we can set aside the communicative habits of speakers. Accordingly, an analysis of notation results in the three types of Identifier, Modifier and Connective. Modifiers are further interpreted as Quantifiers and Qualifiers. The resulting four notational types constitute the categories of Universal Grammar. Its ontology is argued to consist in the underlying cognitive schema of Essence, Quantity, Quality and Relation. The four categories of Universal Grammar are structured as polysemous fields and are each constituted as a radial network centred on some root concept which, however, need not be lexicalized. The branches spread out along troponymic vectors and together map out all possible lexemes. The notational typology of Universal Grammar is applied in a linguistic analysis of the ‘parts of speech’ using the English language. The analysis constitutes a ‘proof of concept’ in (1) showing how the schema of Universal Grammar is capable of classifying the so-called ‘parts of speech’, (2) presenting a coherent analysis of the verb, and (3) showing how the underlying cognitive schema allows for a sub-classification of the auxiliaries.
Starting Page 460
Ending Page 485
Page Count 26
File Format PDF
ISSN 11221151
Journal Axiomathes
Volume Number 16
Issue Number 4
e-ISSN 15728390
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2006-11-14
Publisher Place Dordrecht
Access Restriction Subscribed
Subject Keyword categories cognition language notation parts of speech semantics syntax universal grammar verbs Logic Cognitive Psychology Linguistics (general) Ontology Philosophy
Content Type Text
Resource Type Article
Subject Philosophy Mathematics
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