Populations of coupled oscillators may exhibit two coexisting subpopulations, one with synchronized oscillations and the other with unsynchronized oscillations, even though all of the oscillators are coupled to each other in an equivalent manner. This phenomenon, discovered about ten years ago in theoretical studies by Kuramoto and Battogtokh [1], was further characterized by Abrams and Strogat...

This article introduces a line of investigation into connections between creature forcings and topological Ramsey spaces. Three examples of pure candidates for creature forcings are shown to contain dense subsets which are actually topological Ramsey spaces. A new variant of the product tree Ramsey theorem is proved in order to obtain the pigeonhole principles for two of these examples.

The article's primary purpose is to analyze the problems of emergence philosophy against background myth and correlation mythical philosophical styles thinking. author substantiates question theories that do not consider bearer's inner conviction mythological thinking in absolute reality events characters described myths. main features as most ancient form social consciousness are revealed: sub...

"It all started with the doubt (perhaps exaggerated) that the Gods do not know how to talk". The author presents the situation and tendencies in contemporary mythological research. The article starts out from the mythos-logos antithesis and from the twofold conception of the myth as both a fabricated and a sacred story. The allopersonages as characters of different names, who function as marker...

In every mythological story, a quest for immortality and eternality depicts man’s inner fervor for unity with gods and the supreme power. Man seeks full immersion in life and longs for immortality at the same time. In other words, he wants to live both in time and in eternity. The desire for eternity in man shows his ceaseless struggle with time, and even more so an intense fight with death to ...

Even though myths have an imaginative component that frequently clashes with logical thinking, their symbolism often resonates with our collective unconscious. The divine inspiration that propels mythological heroes towards the noblest and highest ideals also carries the risk of taunting the jealousy of the gods. This may culminate in fatal results as has happened to Remus when he overstepped t...