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mathematics

mathematics

Other“global

Other“global players“ in the field As a side-effect side effect of the catastrophe controversy of 1978-1980 1978 1980 other schools of dynamic modelling which had also a transdisciplinary scope of application took the lead: Prigogine and Nicolis: Nicolis: Studies on Complexity in Nature. The Brussels School developed relevant models in human geography and animal communication. The mother discipline of these contributions is chemistry (Prigogine ( Prigogine got the noble price of chemistry in 1977). Prigogine and Stengers (1987) gave an epistemological evaluation of this endeavour. Haken, Haken, Weidlich, Weidlich, Kelso a.o., developed the idea of self- organization in coordinated systems. Haken combined the catastrophe theoretic contributions with stochastic processes. The basic idea is that of “slaving parameters” which govern the behaviour of large systems with many subsystems. The mother discipline of Haken is physics (he is a specialist of laser-physics). laser physics). A series of congresses applied these ideas to many disciplines including psychology and linguistics (cf. Haken und Stadler, Stadler, 1989). 10

Morphogenetic patterns in language We may distinguish two basic levels in the organization of language. They correspond to classical levels like phonetics/phonology versus morphology/syntax. We presume that they mirror subsequent stages in the evolution of language: The dynamics of perception and production of sound patterns. They could have evolved 3 to 4 million years ago with the species Australopithecus, who lived in the savannah of East-Africa East Africa and already had upright locomotion. The dynamics of predication and phrasal patterns. They could have evolved with the Homo erectus/ergaster erectus/ ergaster (starting 2 million years ago) and would have reached completion with the species Homo sapiens. A cognitive precursor of language may be recognized in tool manufacturing and art. (2 my BP or 700 ky BP; cf. Wildgen, Wildgen, 2004). 11

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