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mathematics

Consequences in the case **mathematics** are applied to language 1. Both have a bodily and cognitive foundation and are restricted to the human species. The selection of sub-components sub components of human cognitive endowment is, however, different. It is clear that emotional/sexual, poetic/expressive functions which may be crucial in language are underrepresented in **mathematics**. Both symbolic forms are highly abstract but **mathematics** specialized the linguistic abstraction in the domains of geometry and algebra/combinatory. These differences remain, however, gradual and are not absolute, but the cognitive profiles of both symbolic forms are clearly different and have become historically more and more independent from one another. 30

2. Both are culturally relative, but the link of early **mathematics** to technologies (and perhaps myth) makes them less variable. The evolutionary control of technologies is stricter (more narrow) than in the case of languages, where many different kinds of structural organization may serve the same needs for communication. Therefore if some kind of less culturally variable architecture behind languages is the problem to be solved, **mathematics** may be helpful in the search for universals (but they are not the archive of such universals). 3. In a different sense languages are (functionally) more universal than **mathematics**. Every human is able to learn one or more languages, but many humans have difficulties in learning or using **mathematics**. Language is the basic link of the species and it guarantees its unity. 31

- Page 1 and 2: Wolfgang Wildgen Mathematics and gr
- Page 3 and 4: Mathematics and grammar in the hist
- 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: Mathematics Selection of technologi
- Page 33 and 34: Some publications of the author Wil
- Page 35: Montague, R. (1970). « Universal G