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mathematics

Contents 1 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

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