For any class of operators which transform unary total functions in the set of natural numbers into functions of the same kind, we define what it means for a real function to be uniformly computable or conditionally computable with respect to this class. These two computability notions are natural generalizations of certain notions introduced in a previous paper co-authored by Andreas Weiermann and in another previous paper by the same authors, respectively. Under certain weak assumptions about the class in question, (...) we show that conditional computability is preserved by substitution, that all conditionally computable real functions are locally uniformly computable, and that the ones with compact domains are uniformly computable. The introduced notions have some similarity with the uniform computability and its non-uniform extension considered by Katrin Tent and Martin Ziegler, however, there are also essential differences between the conditional computability and the non-uniform computability in question. (shrink)

We consider the complexity of the integration operator on real functions with respect to the subrecursive class M^2 . We prove that the definite integral of a uniformly M^2-computable analytic real function with M^2-computable limits is itself M^2-computable real number. We generalise this result to integrals with parameters and with varying limits. As an application, we show that the Euler-Mascheroni constant is M^2-computable.

In this paper I try to underline both the positive and negative circumstances in which I began translating Heidegger's "Sein und Zeit" in Greek. In 1971 I started, as a young student of philosophy, to study and translate this book, although I misunderstood it and considered it as a paradigm of "existentiell", not existential philosophy. I benefited essentially from both the English and the French translations and I've also received great help from my Greek mentor, E. N. Platis. I published (...) my translation in two volumes, one in 1978 and the other in 1985 and the critics have been very positive. At the beginning, I gave extended explanations about the translation problems and my solutions in a paper published in 1974. In the following years, I wrote articles about the Heideggerian concepts, in order to facilitate a better understanding of his philosophy.. (shrink)

The spirit in you -- We are one -- The Druid path -- Rebirth into spirit -- Starting your journey -- Becoming a bard -- Mastering awareness -- Ritual and ceremony -- Spiritual cleansing -- Sacred creativity -- The power of manifestation -- The freedom of transformation -- Magical adventures -- The spirit of Gaia -- The four elements -- Earth -- Water -- Air -- Fire -- Spirit dancer -- The continuing life of Ivan Mcbeth.

Издание содержит: из истории Химкинского леса; Химкинский лес как памятник природы; выбор трассы; начало гражданского сопротивления; рождение "Экообороны" и многое другое. Для широкого круга читателей.

Sulla base di una straordinaria analisi dei problemi deontologici riconducibili alla crisi della professione medica, Ivan Cavicchi e un gruppo di lavoro multidisciplinare – promosso e organizzato dall’Ordine dei Medici Chirurghi e Odontoiatri della Provincia Autonoma di Trento, in collaborazione con il programma FBK per la salute della Fondazione Bruno Kessler e il gruppo di Biodiritto del l’Università di Trento – hanno rielaborato le basi concettuali della tradizionale deontologia medica per mettere in condizione gli Ordini dei Medici di riformare (...) il proprio codice deontologico. Si tratta di una vera e propria «rivoluzione» destinata a modificare nei prossimi anni la deontologia nel nostro Paese, a influenzare la redazione dei futuri codici di tutte le professioni medico-sanitarie, ma soprattutto a cambiare radicalmente i rapporti tra medici e cittadini, tra professione e società, tra medicina ed economia. Assumendo il malato come «archè», la proposta di rielaborazione cambia postulati, presupposti, linguaggi, concetti, soluzioni e obiettivi, affrontando problematiche usualmente ignorate dalla deontologia convenzionale. Lo scopo di fondo è definire una nuova figura di medico capace di recuperare il rapporto fiduciario con i malati e con la società e di farsi carico dei problemi di sostenibilità economica che ormai da anni gravano su tutti i sistemi di tutela sanitaria. (shrink)

We tend to associate Henry David Thoreau with the renunciation of material possessions, projecting onto him our fantasies of a life lived beyond the modern obsession with "things." But Thoreau's practical philosophy held a special place for tools, artworks, Native American artifacts, and a variety of natural phenomena. In Mindprints, Ivan Gaskell focuses on the material items that were important to Thoreau, using them to reveal Thoreau's unique and profound aesthetics of everyday life and the environment. "Mindprint" was Thoreau's (...) term for a material object that has captured the presence of its maker and first user. Thoreau applied the term to ancient stone artifacts and other objects in an effort to capture something of the relationship between material items and humans. For Thoreau, these relationships contribute to the creation of "worlds." By looking at Thoreau's engagement with material worlds through his writings and his practical philosophical experiment at Walden Pond--but also, importantly, via his work as a designer of improved pencils, as a house builder, as a land surveyor, and as a collector--Gaskell reveals the aesthetics at the heart of Thoreau's thinking. (shrink)

How to Do Things with Myths: A Performative Theory of Myths and How We Got There assembles a radically updated collection of the author's oft-cited publications on myth. Together, they tell how theories of myth have changed and led to a novel "performative" theory of myth.

The evolution of the human mind through natural selection mandates that our conscious experiences are causally potent in order to leave a tangible impact upon the surrounding physical world. Any attempt to construct a functional theory of the conscious mind within the framework of classical physics, however, inevitably leads to causally impotent conscious experiences in direct contradiction to evolution theory. Here, we derive several rigorous theorems that identify the origin of the latter impasse in the mathematical properties of ordinary differential (...) equations employed in combination with the alleged functional production of the mind by the brain. Then, we demonstrate that a mind--brain theory consistent with causally potent conscious experiences is provided by modern quantum physics, in which the unobservable conscious mind is reductively identified with the quantum state of the brain and the observable brain is constructed by the physical measurement of quantum brain observables. The resulting quantum stochastic dynamics obtained from sequential quantum measurements of the brain is governed by stochastic differential equations, which permit genuine free will exercised through sequential conscious choices of future courses of action. Thus, quantum reductionism provides a solid theoretical foundation for the causal potency of consciousness, free will and cultural transmission. (shrink)

Et si on appliquait à la philosophie la méthodologie du physicien? L'inexplicable constat des limitations inhérentes à toute réalité expérimentée inciterait à poser en théorie l'hypothèse d'un modèle exempt de ces limitations d'où pourrait procéder la réalité limitée telle que nous la vivons. Et si par déduction on en arrivait à des résultats scientifiquement plausibles, l'aventure à laquelle nous serions alors conviés serait de décoder l'univers comme une anamorphose. Sous la forme d'un dialogue, ce livre met en débat la pensée (...) originale de Pierre Malifaud qui ouvre ensuite à des problématiques plus englobantes. (shrink)

This book addresses the fascinating cross-disciplinary field of quantum information theory applied to the study of brain function. It offers a self-study guide to probe the problems of consciousness, including a concise but rigorous introduction to classical and quantum information theory, theoretical neuroscience, and philosophy of the mind. It aims to address long-standing problems related to consciousness within the framework of modern theoretical physics in a comprehensible manner that elucidates the nature of the mind-body relationship. The reader also gains an (...) overview of methods for constructing and testing quantum informational theories of consciousness. (shrink)

The natural evolution of consciousness in different animal species mandates that conscious experiences are causally potent in order to confer any advantage in the struggle for survival. Any endeavor to construct a physical theory of consciousness based on emergence within the framework of classical physics, however, leads to causally impotent conscious experiences in direct contradiction to evolutionary theory since epiphenomenal consciousness cannot evolve through natural selection. Here, we review recent theoretical advances in describing sentience and free will as fundamental aspects (...) of reality granted by quantum physical laws. Modern quantum information theory considers quantum states as a physical resource that endows quantum systems with the capacity to perform physical tasks that are classically impossible. Reductive identification of conscious experiences with the quantum information comprised in quantum brain states allows for causally potent consciousness that is capable of performing genuine choices for future courses of physical action. The consequent evolution of brain cortical networks contributes to increased computational power, memory capacity, and cognitive intelligence of the living organisms. (shrink)

I discuss the role of beauty in physics. Physicists are sometimes described as platonists for their conviction that the fundamental laws are elegant and aesthetic arguments represent an important epistemic tool. After a review of the ideas of Plato and some of the leading figures of modern physics, which suggest that this is indeed the case, I present a list of current aesthetic criteria. I focus on symmetry and unity and demonstrate their increasing relevance in an array of experimentally verified (...) theories. I also deal with an open issue of naturalness as the third criterion. The laws of nature appear increasingly beautiful as we uncover them, and it is important to see if the trend continues in the future. (shrink)

The human mind is constituted by inner, subjective, private, first-person conscious experiences that cannot be measured with physical devices or observed from an external, objective, public, third-person perspective. The qualitative, phenomenal nature of conscious experiences also cannot be communicated to others in the form of a message composed of classical bits of information. Because in a classical world everything physical is observable and communicable, it is a daunting task to explain how an empirically unobservable, incommunicable consciousness could have any physical (...) substrates such as neurons composed of biochemical molecules, water, and electrolytes. The challenges encountered by classical physics are exemplified by a number of thought experiments including the inverted qualia argument, the private language argument, the beetle in the box argument and the knowledge argument. These thought experiments, however, do not imply that our consciousness is nonphysical and our introspective conscious testimonies are untrustworthy. The principles of classical physics have been superseded by modern quantum physics, which contains two fundamentally different kinds of physical objects: unobservable quantum state vectors, which define what physically exists, and quantum operators (observables), which define what can physically be observed. Identifying consciousness with the unobservable quantum information contained by quantum physical brain states allows for application of quantum information theorems to resolve possible paradoxes created by the inner privacy of conscious experiences, and explains how the observable brain is constructed by accessible bits of classical information that are bound by Holevo's theorem and extracted from the physically existing quantum brain upon measurement with physical devices. (shrink)

Capacity of conscious agents to perform genuine choices among future alternatives is a prerequisite for moral responsibility. Determinism that pervades classical physics, however, forbids free will, undermines the foundations of ethics, and precludes meaningful quantification of personal biases. To resolve that impasse, we utilize the characteristic indeterminism of quantum physics and derive a quantitative measure for the amount of free will manifested by the brain cortical network. The interaction between the central nervous system and the surrounding environment is shown to (...) perform a quantum measurement upon the neural constituents, which actualize a single measurement outcome selected from the resulting quantum probability distribution. Inherent biases in the quantum propensities for alternative physical outcomes provide varying amounts of free will, which can be quantified with the expected information gain from learning the actual course of action chosen by the nervous system. For example, neuronal electric spikes evoke deterministic synaptic vesicle release in the synapses of sensory or somatomotor pathways, with no free will manifested. In cortical synapses, however, vesicle release is triggered indeterministically with probability of 0.35 per spike. This grants the brain cortex, with its over 100 trillion synapses, an amount of free will exceeding 96 terabytes per second. Although reliable deterministic transmission of sensory or somatomotor information ensures robust adaptation of animals to their physical environment, unpredictability of behavioral responses initiated by decisions made by the brain cortex is evolutionary advantageous for avoiding predators. Thus, free will may have a survival value and could be optimized through natural selection. (shrink)