V O R T R A G ********************** Oesterreichisches Forschungsinstitut fuer Artificial Intelligence(OFAI) der OSGK Freyung 6/6/7, A-1010 Wien Tel: +43-1-5336112-17, Fax: +43-1-5336112-77, Email: email@example.com Dr. Johannes Jaeger Complexity Science Hub (CSH), Vienna Centre de Recherches Interdisciplinaires (CRI), Paris THE ONTOLOGY OF DYNAMICAL SYSTEMS Ever since Zeno's paradox of the arrow, the nature of change has been a deep, puzzling mystery. Even though Leibniz and Newton seem to have demystified the problem, major questions remain and modern process ontologies struggle to find a rigorous and coherent definition of the concept of change. I will use the mathematical tools of dynamical and general systems theory (in an accessible and non-technical way) to illustrate that the view of change we get from differential calculus is highly specialised and abstracted. I will introduce a more generalised notion of flow, based on work by Mesarovic and Takahara in the 1970s. The derivation of this notion implies that any coherent concept of change must be diachronic, i.e. extended in time. In other words, change requires some sort of mapping or morphism forward in time. I will discuss constraints on this morphism that are required for consistent causal dynamics. Change as an extended mapping suggests the radical notion that instantaneous moments, or instants, do not exist. I will showâ-using the tool of pointless geometryâ-that theories based on the abstraction of the infinitesimal differential still apply to solve many practical problems, but that they do not precisely represent the time-extended diachronic ontological status of change. ********* Time: Wednesday, 28th November 2018, 6:30 p.m. sharp Location: Oesterreichisches Forschungsinstitut fuer Artificial Intelligence, OFAI Freyung 6, Stiege 6, 1010 Wien OESTERREICHISCHES FORSCHUNGSINSTITUT FUER ARTIFICIAL INTELLIGENCE Univ.-Prof. Ing. Dr. Robert Trappl ********* Sollten Sie in Zukunft keine weiteren Vortragsankuendigungen wuenschen, senden Sie bitte ein Mail mit dem Betreff "REMOVE" an: firstname.lastname@example.org.