Critical phenomena in stock exchange are regularly occurring and difficult to predict events, often leading to disastrous consequences. The presented paper is devoted to the search and research of early warning signals of critical transitions in stock exchange based on the results of a multifractal analysis of a series of transactions in shares of public companies. We have proposed and justified the use of certain features of behavior of multifractal spectrum shape parameters such as signals. As model time series, on (...) which methods of multifractal analysis were tested, we used a series of the number of unstable sites of the sandpile automaton on the random Erdős–Rényi graph, self-organizing into critical and bistable states. It was found that the early warning signals for both cellular automata and stock exchanges are an increase in the magnitude of the maximum position, a decrease in the width, and a decrease, followed by a sharp increase, in the value of the spectrum asymmetry parameter. (shrink)

1. There is a commonly held endoxon that idealism did not exist and could not exist before Plato, since the «Presocratics» did not yet distinguish between the material and the ideal etc. This preconception is based on the misleading conception of «Presocratics» as physicalists and the simplistic evolutionist scheme of Aristotle’s Metaph. A. In fact, religious and idealist metaphysics are attested in different archaic traditions before Plato, whereas «simple» physical theories of elements of the Milesian type did not exist before (...) the 6th century B.C. scientific revolution. 2. Those who deny the existence of idealism in Greek philosophy commonly refer to Myles F. Burnyeat. We will argue against this article on the following grounds: a) it is based on a selective and incomplete data from early Greek philosophy, b) Burnyeat understands by «idealism» subjective idealism and anti-realism. But Greek idealism as a rule is a form of objective idealism and has nothing to do with anti-realism. The two basic forms are: dualstic idealism and monistic idealism. 3. We will argue against modern naturalist interpretations of the Pythagorean first principles by Huffmann and others. Both in the table of opposites and in Philolaus πέρας καὶ ἄπειρον denote self-subsistent mathematical essences, ‘out of which’ physical bodies are composed. It is impossible to interpret “the limit and the unlimited” as physical bodies themselves or as properties of physical bodies. 4. We will argue for the Pythagorean origin of the 5th centu-ry graffiti on bones’ plates from Olbia. According to this early table of oppo-site, the body is ψεῦδος, i.e., an illusion. 5. The Zeller-Burnet interpretation of Parmenides B3 is grammatically impossible. The fragment states the identity of νοεῖν καὶ εἶναι, i.e., affirms mental nature of Being.6.The basic opposition of Parmenides’ Aletheia exactly corresponds to the basic opposition of doxa. Light is the active and thinking element, night is the «heavy», dense, corporeal substance. Sine light corresponds to Being, night corresponds to non-Being. The philosophy of Parmenides is a radical form of immaterialism and idealistic monism. (shrink)

Psychosis is associated with distorted perceptions and deficient bottom-up learning such as classical fear conditioning. This has been interpreted as reflecting imprecise priors in low-level predictive coding systems. Paradoxically, overly strong beliefs, such as overvalued beliefs and delusions, are also present in psychosis-associated states. In line with this, research has suggested that patients with psychosis and associated phenotypes rely more on high-order priors to interpret perceptual input. In this behavioural and fMRI study we studied two types of fear learning, i.e., (...) instructed fear learning mediated by verbal suggestions about fear contingencies and classical fear conditioning mediated by low level associative learning, in delusion proneness—a trait in healthy individuals linked to psychotic disorders. Subjects were shown four faces out of which two were coupled with an aversive stimulation while two were not in a fear conditioning procedure. Before the conditioning, subjects were informed about the contingencies for two of the faces of each type, while no information was given for the two other faces. We could thereby study the effect of both classical fear conditioning and instructed fear learning. Our main outcome variable was evaluative rating of the faces. Simultaneously, fMRI-measurements were performed to study underlying mechanisms. We postulated that instructed fear learning, measured with evaluative ratings, is stronger in psychosis-related phenotypes, in contrast to classical fear conditioning that has repeatedly been shown to be weaker in these groups. In line with our hypothesis, we observed significantly larger instructed fear learning on a behavioural level in delusion-prone individuals compared to non-delusion-prone subjects. Instructed fear learning was associated with a bilateral activation of lateral orbitofrontal cortex that did not differ significantly between groups. However, delusion-prone subjects showed a stronger functional connectivity between right lateral orbitofrontal cortex and regions processing fear and pain. Our results suggest that psychosis-related states are associated with a strong instructed fear learning in addition to previously reported weak classical fear conditioning. Given the similarity between nocebo paradigms and instructed fear learning, our results also have an impact on understanding why nocebo effects differ between individuals. (shrink)