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mathematics

Contents 1 Mathematics and grammar in the history of linguistics 2 The “morphological turn” by René Thom 3 Morphogenetic patterns in language and neurosemantics 4 Are there formal universals of language and other symbolic forms? 5 Some reflections on communalities and differences between **mathematics** and languages 6 Major differences of functionality seen in an evolutionary perspective 2

Mathematics and grammar in the history of linguistics Since antiquity a certain parallelism between the alphabet, its combinatory power, and arithmetic formalisms has been evident. Thus the Indian scholars who investigated the poetic meters of Vedic chants studied the syllable structure and the combinatorial pattern of short and long syllables given a line of n syllables (cf. the classical work Chandahśāstra by Pingula; Pingula; 200 BC). In the same period (exact dates are not know) Panini concentrated the grammatical knowledge on Sanskrit in a grammar format consisting in a list of very short rules (almost 4000), which was so well organized that it was used for centuries as the canon of linguistic knowledge and was so explicit that it allowed the great advances of comparative linguistics in the 19th century. 3

- Page 1: Wolfgang Wildgen Mathematics and gr
- Page 5 and 6: Philosophically motivated models Ch
- Page 7 and 8: The “morphological turn” by Ren
- Page 9 and 10: The catastrophe controversy The mor
- Page 11 and 12: Morphogenetic patterns in language
- Page 13 and 14: Composition is therefore in princip
- Page 15 and 16: Are there formal universals underly
- Page 17 and 18: Chomsky comparable with Thom In Cho
- Page 19 and 20: Language contains (implicitly) math
- Page 21 and 22: The mythical semantics are rather f
- Page 23 and 24: The phase of „pure meaning“ mea
- Page 25 and 26: 3. Mathematics (as languages) has t
- Page 27 and 28: Major differences of functionality
- Page 29 and 30: Mathematics Selection of technologi
- Page 31 and 32: 2. Both are culturally relative, bu
- Page 33 and 34: Some publications of the author Wil
- Page 35: Montague, R. (1970). « Universal G