The science of complexity aims to answer the question of what rules nature chooses when
assembling the basic constituents of matter and energy into structures and dynamical …

Information geometry is the differential geometric treatment of statistical models. It thereby
provides the mathematical foundation of statistics. Information geometry therefore is of …

The aim of this paper is to examine the role of thermodynamics, and in particular, entropy, for
the development of economics within the last 150 years. The use of entropy has not only led …

We argue that a critical difference distinguishing machines from organisms and computers
from brains is not complexity in a structural sense, but a difference in dynamical organization …

We develop a geometric approach to complexity based on the principle that complexity
requires interactions at different scales of description. Complex systems are more than the …

Introduction Logically valid deductive arguments are clear examples of abstract recursive
computational procedures on propositions or on probabilities. However, it is not known if the …

Gegenstand dieser Untersuchung ist die Relevanz und Notwendigkeit eines
prozesstheoretischen Verständnisses des onto-und embryogenetischen Werdens von …

It is known that human speech and certain animal vocalizations can convey meaningful
content because we can decipher the content that a given utterance does convey. This …

The recognition of complex systems plays a vital role in system dynamics. To distinguish
chaotic systems and stochastic processes, the complex-entropy causality plane (CECP) was …

We explore several concepts for analyzing the intuitive notion of computational irreducibility
and we propose a robust formal definition, first in the field of cellular automata and then in …