Conference Agenda
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Daily Overview |
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HPM3: History and Philosophy of Mathematics Location: M627 Session Chair: Peter Ullrich Session Chair: Thomas Skill | |
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Waltraud Voss (TU Dresden): Graphs and Networks and a New Perspective on the World TU Dresden, Germany With developments in science, business and society - which have also led to the "renaissance of the mathematics of discrete structures" (Sachs) - our world has increasingly come to be perceived once again as a "vast network". The "distributed system" can serve as a paradigm for this perspective. A distributed system is characterized by "distributed processes" that are "temporarily" parallel (concurrent, independent of one another) but nevertheless "communicate" with others in a certain way. Network planning takes into account the parallelism of processes in scheduling; game-theoretical and cybernetic considerations also assume temporary concurrency of communicating processes. However, a unifying theoretical approach was not provided until 1962 by Carl Adam Petri (1926-2010). Processes occurring in the discrete dynamic system to be modeled can be traced in the network (later named after Petri) as a sequence of transitions. The causal structure is evident from the Petri net. Since the early 1980s, Petri nets have become firmly established in all highly industrialized countries, include the GDR. | |
