The principle of Identity of Indiscernibles has been challenged with various thought experiments involving symmetric universes. In this paper, I describe a fractal universe and argue that, while it is not a symmetric universe in the classical sense, under the assumption of a relational theory of space it nonetheless contains a set of objects indiscernible by pure properties alone. I then argue that the argument against the principle from this new thought experiment resists better than those from (...) classical symmetric universes three main objections put forth against this kind of arguments. (shrink)

The principle of Identity of Indiscernibles has been challenged with various thought experiments involving symmetric universes. In this paper, I describe a fractal universe and argue that, while it is not a symmetric universe in the classical sense, under the assumption of a relational theory of space it nonetheless contains a set of objects indiscernible by pure properties alone. I then argue that the argument against the principle from this new thought experiment resists better than those from (...) classical symmetric universes three main objections put forth against this kind of arguments. (shrink)

Benoit B. Mandelbrot, when discussing the global appeal of fractal patterns and designs, draws upon examples from across numerous world cultures. What may be missed in Mandelbrot's presentation is Immanuel Kant’s precedence in recognizing this sort of widespread beauty in art and nature, fractals avant la lettre. More importantly, the idea of the fractal may itself assist the aesthetic attitude which Kantian beauty requires. In addition, from a Kantian perspective, fractal patterns may offer a source for a (...) sense of community with humanity. I close with an excursus on the more sombre note of Kantian sublimity which fractals can also present. (shrink)

Unlike previous studies that consider the Chicago Board of Options Exchange implied volatility index, we examine long memory and fractality in the universe of nine CBOE volatility indices. Using daily data from October 5, 2007, to October 5, 2020, covering calm and crisis periods, we find evidence of long memory and fractality in all indices and a change in the degree of volatility persistence, which points to inefficiency. The long memory of the SKEW index is strong before the onset (...) of three crisis periods, but eases afterwards. The findings provide new insights that matter to investment decisions and trading strategies. (shrink)

Our universe, science reveals, began in utter simplicity, then evolved into burgeoning complexity. Starting with subatomic particles, dissimilar entities formed associations—binding, bonding, growing, branching, catalyzing, cooperating—as “self” joined “other” following universal laws with names such as gravity, chemical attraction, and natural selection. Ultimately life arose in a world of dynamic organic chemistry, and complexity exploded with wondrous new potential. Fast forward to human evolution, and a tension that had existed for billions of years now played out in an unprecedented (...) arena of conscious calculation and cultural diversity. Cooperation interleaving with competition; intimacy oscillating with integrity—we dwell in a world where yin meets yang in human affairs on many levels. In The Fractal Self, John Culliney and David Jones uncover surprising intersections between science and philosophy. Connecting evidence from evolutionary science with early insights of Daoist and Buddhist thinkers, among others, they maintain that sagely behavior, envisioned in these ancient traditions, represents a pinnacle of human achievement emerging out of our evolutionary heritage. They identify an archetype, “the fractal self,” a person in any walk of life who cultivates a cooperative spirit. A fractal self is a sage in training, who joins others in common cause, leads from within, and achieves personal satisfaction in coordinating smooth performance of the group, team, or institution in which he or she is embedded. Fractal selves commonly operate with dedication and compassionate practice in the service of human society or in conserving our planet. But the competitive side of human nature is susceptible to greed and aggression. Self-aggrandizement, dictatorial power, and ego-driven enforcement of will are the goals of those following a self-serving path—individuals the authors identify as antisages. Terrorist leaders are an especially murderous breed, but aggrandizers can be found throughout business, religion, educational institutions, and governments. Humanity has reached an existential tipping point: will the horizon already in view expand with cooperative progress toward godlike emergent opportunities or contract in the thrall of corrupt oligarchs and tribal animosities? We have brought ourselves to a chaotic edge between immense promise and existential danger and are even now making our greatest choice. (shrink)

This study investigates global properties of three categories of English text: canonical fiction, non-canonical fiction, and non-fictional texts. The central hypothesis of the study is that there are systematic differences with respect to structural design features between canonical and non-canonical fiction, and between fictional and non-fictional texts. To investigate these differences, we compiled a corpus containing texts of the three categories of interest, the Jena Corpus of Expository and Fictional Prose. Two aspects of global structure are investigated, variability and self-similar (...) patterns, which reflect long-range correlations along texts. We use four types of basic observations, the frequency of POS-tags per sentence, sentence length, lexical diversity, and the distribution of topic probabilities in segments of texts. These basic observations are grouped into two more general categories, the lower-level properties and, which are observed at the level of the sentence, and the higher-level properties and, which are observed at the textual level. The observations for each property are transformed into series, which are analyzed in terms of variance and subjected to Multi-Fractal Detrended Fluctuation Analysis, giving rise to three statistics: the degree of fractality () of the fractal spectrum. The statistics thus obtained are compared individually across text categories and jointly fed into a classification model. Our results show that there are in fact differences between the three text categories of interest. In general, lower-level text properties are better discriminators than higher-level text properties. Canonical fictional texts differ from non-canonical ones primarily in terms of variability in lower-level text properties. Fractality seems to be a universal feature of text, slightly more pronounced in non-fictional than in fictional texts. On the basis of our results obtained on the basis of corpus data we point out some avenues for future research leading toward a more comprehensive analysis of textual aesthetics, e.g., using experimental methodologies. (shrink)

In her examination of the problem of identity and its fractal character H. Arendt makes an important step towards a more profound understanding of the thinking Self. Her objective is evident - it is her effort to eliminate the negative effects of the so called identifying monism resulting in mass hysterias. Arendt argues, that the thinking Self is never identical with itself, therefore the definition of subjectivity itself should be seen from the perspective of the difference between the Self (...) and the statments about the Self. For Arendt it means opening the Self, so far shut off in his private cell of the only belief, that it is the Self, who produces the subjectivity. The fractal version of subjectivity represents an open universe of freely chosen responsibility ensuring that there is the only correspondence between the Self and the statments about the Self, namely the correspondence based on knowing the price, paid for it by every Self. And that means tolerating the differences, produced by mind as the thinking Self, differences by which we are constantly being negatively determined. Contrary to identifying monism, however, this determination is not a militant one. (shrink)

Feminists have long been aware that the notion of women is problematic and using it uncritically without further qualifications leads to exclusions. In the article, I argue that the source of these problems lies in the understanding of concepts as static and clearly defined. I deploy Hegel’s idea of syllogism to define dynamic concepts, which I term ‘fractal concepts’ because of their complexity and constant development. In such structures the balance between the universal, the particular and the individual is (...) maintained and, consequently, every woman is essential for the definition of such a non-essentialist notion of women. I propose that an epistemological interpretation of the Hegelian idea of recognition can be used to describe the development of fractal concepts in the confrontation of different perspectives. It also explains the obstruction of this process by the desire for domination and control, which results in the appropriation of group identities by their privileged members. I situate the logical and political framework developed in the paper in the context of feminist controversies around the concept of woman and argue that it provides us with a comprehensive account of intersectionality as well as an explicative solution to the regress problem. (shrink)

Fractal dynamics is a unique, systems-based approach of looking at and thinking about organizations. In this view, the organization is viewed as part of a pervasive organizational fractal. Many astounding properties such as fractal completion, fractal influence and fractal universality emerge in fractal space. These offer new insight into the fundamental dynamics animating all organizations. Routine management tasks such as strategy formulation, cost cutting, process redesign, product formulation, management of change and leadership development can (...) be conducted anew with powerful and innovative insights, unavailable when management is approached traditionally through a linear and sequential thinking approach. This article focuses primarily on the rationale for employing fractal dynamics, and on the search for the pervasive organizational fractal that animates all organizations. A brief example of how fractal dynamics offers insights in the case of management of change is also provided. (shrink)

In this paper, I present what I call the symmetry conception of God within 1st order, extensional, non-well-founded set theory. The symmetry conception comes in two versions. According to the first, God is that unique being that is universally symmetrical with respect to set membership. According to the second, God is the universally symmetrical set of all sets that are universally symmetrical with respect to set membership. I present a number of theorems, most importantly that any universally symmetrical set is (...) identical to its essence, that show that the two symmetry conceptions intersect with some dominant theological conceptions of God. The theorems also show that both of the symmetry conceptions of God entail that God has a fractal like structure. (shrink)

Fractal time fluctuations of the spectral “1/f” form are universal in natural self-organizing systems. Neurobiology is uniquely infused with fractal fluctuations in the form of statistically self-similar clusters or bursts on all levels of description from molecular events such as protein chain fluctuations, ion channel currents and synaptic processes to the behaviors of neural ensembles or the collective behavior of Internet users. It is the thesis of this essay that the brain self-organizes via a vertical collation of these (...) spontaneous events in order to perceive the world and generate adaptive behaviors. REM sleep, which coalesces from self-similar clusters of burst-within-burst behavior during ontogeny, is essential to cognitive-emotional function, and has recurrent fractal organization. Empirical fMRI observations further support the association of fractal fluctuations in the temporal lobes, brainstem and cerebellum during the expression of emotional memory, spontaneous fluctuations of thought and meditative practice. Cognitive-emotional integration arises as amygdaloid-brainstem-cerebellar systems harmonize the vertical “1/f” symphony of coupled isochronous cortical oscillations in the pursuit of mindfulness. (shrink)

Our likes and dislikes--our senses and sensibilities--did not fall ready-made from the sky, argues internationally acclaimed author John D. Barrow. We know we enjoy a beautiful painting or a passionate symphony, but what we don't necessarily understand is that these experiences conjure up latent instincts laid down and perpetuated over millions of years. Now, in The Artful Universe, Barrow explores the close ties between our aesthetic appreciation and the basic nature of the Universe, challenging the commonly held view (...) that our sense of beauty is entirely free and unfettered. Barrow argues that the laws of the Universe, its environments and its astronomical appearance, have imprinted themselves upon our thoughts and actions in subtle and unexpected ways. Why do we like certain types of art or music? What games and puzzles do we find challenging? Why do so many myths and legends have common elements? Who created the cornucopia of constellations in the night sky? And why? In this eclectic and entertaining survey, Barrow answers these questions and more as he explains how the landscape of the Universe has influenced the development of philosophy and mythology, and how millions of years of evolutionary history have fashioned our attraction to certain patterns of sound and color. Barrow casts the story of human creativity and thought in a fascinating light, considering such diverse topics as our instinct for language, the origins and uses of color in Nature, why we divide time into intervals as we do, the sources of our appreciation of landscape painting, and whether computer-generated fractal art is really art. Barrow reconsiders the question of whether intelligent extraterrestrial life exists, showing that the benefits (and even the likelihood) that might follow from the discovery of life on other worlds could be very different from what we might have been led to expect. Remarkably, we find that some of the properties of the Universe that are essential for the existence of any form of life play a key role in determining psychological and religious responses to the Cosmos. Drawing on a wide variety of examples, from the theological questions raised by St. Augustine and C.S. Lewis to the relationship between the pure math of Pythagoras and the music of the Beatles, The Artful Universe covers new ground and enters a wide-ranging debate about the meaning and significance of the links between art and science. It will change our view of the creation of art and the way we see the world in which we live. (shrink)

From one of the most influential scientists of our time, a dazzling exploration of the hidden laws that govern the life cycle of everything from plants and animals to the cities we live in. The former head of the Sante Fe Institute, visionary physicist Geoffrey West is a pioneer in the field of complexity science, the science of emergent systems and networks. The term "complexity" can be misleading, however, because what makes West's discoveries so beautiful is that he has found (...) an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses. Fascinated by issues of aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we do and no longer. The result was astonishing, and changed science, creating a new understanding of energy use and metabolism: West found that despite the riotous diversity in the sizes of mammals, they are all, to a large degree, scaled versions of each other. If you know the size of a mammal, you can use scaling laws to learn everything from how much food it eats per day, what its heart-rate is, how long it will take to mature, its lifespan, and so on. Furthermore, the efficiency of the mammal's circulatory systems scales up precisely based on weight: if you compare a mouse, a human and an elephant on a logarithmic graph, you find with every doubling of average weight, a species gets 25% more efficient--and lives 25% longer. This speaks to everything from how long we can expect to live to how many hours of sleep we need. Fundamentally, he has proven, the issue has to do with the fractal geometry of the networks that supply energy and remove waste from the organism's body. (shrink)

Our love of art, writes John Barrow, is the end product of millions of years of evolution. How we react to a beautiful painting or symphony draws upon instincts laid down long before humans existed. Now, in this enhanced edition of the highly popular The Artful Universe, Barrow further explores the close ties between our aesthetic appreciation and the basic nature of the Universe. Barrow argues that the laws of the Universe have imprinted themselves upon our thoughts (...) and actions in subtle and unexpected ways. Why do we like certain types of art or music? What games and puzzles do we find challenging? Why do so many myths and legends have common elements? In this eclectic and entertaining survey, Barrow answers these questions and more as he explains how the landscape of the Universe has influenced the development of philosophy and mythology, and how millions of years of evolutionary history have fashioned our attraction to certain patterns of sound and color. Barrow casts the story of human creativity and thought in a fascinating light, considering such diverse topics as our instinct for language, the origins and uses of color in nature, why we divide time into intervals as we do, the sources of our appreciation of landscape painting, and whether computer-generated fractal art is really art. Drawing on a wide variety of examples, from the theological questions raised by St. Augustine and C.S. Lewis to the relationship between the pure math of Pythagoras and the music of the Beatles, The Artful Universe Expanded covers new ground and enters a wide-ranging debate about the meaning and significance of the links between art and science. (shrink)

This paper tries to combine Peirce’s cosmology and metaphysics with current understanding in physics of the evolution of the universe, regarded as an ongoing semiotic process in a living cosmos. While the basic property of Life is viewed as an unexplainable Firstness inherent in the initial iconic state of the vacuous continuum we shall consider and exemplify two sign developing processes: (a) the transition from icon to index is considered as a symmetry breaking emergence of order actualising one among (...) the possibilities of the iconic vacuum; (b) the transition from index to symbol, regarded as a habit formation — an adaptation of the surroundings to the order that has emerged. While the iconic state is characterized by fractal self-similarity the transitions to index and symbol are modelled by the mean field theory of second order phase transitions. (shrink)

Corruption has been a major obstacle to economic growth around the world. In this paper, we examine how firms interact with corrupt government officials either to minimize the impact of corruption on their operations or to maximize their benefit of paying a bribe. Our estimates show that firms know exactly what they need and use their limited resources to bribe only relevant government authorities. In other words, firms are rational bribers who know exactly what they need and optimize their bribes (...) to fulfill that need. This type of intentional bribery could be reduced by enhanced institutional environments and improved openness of the economy. (shrink)

This paper gives two complete and elementary proofs that if the speed of light over closed paths has a universal value c, then it is possible to synchronize clocks in such a way that the one-way speed of light is c. The first proof is an elementary version of a recent proof. The second provides high precision experimental evidence that it is possible to synchronize clocks in such a way that the one-way speed of light has a universal value. We (...) also discuss an old incomplete proof by Weyl which is important from an historical perspective. (shrink)

The word 'athletics' is derived from the Greek verb 'to struggle for a prize'. After reading this book, no one will see the Olympics as a graceful display of Greek beauty again, but as war by other means. Nigel Spivey paints a portrait of the Greek Olympics as they really were - fierce contests between bitter rivals, in which victors won kudos and rewards, and losers faced scorn and even assault. Victory was almost worth dying for, and a number of (...) athletes did just that. Many more resorted to cheating and bribery. Contested always bitterly and often bloodily, the ancient Olympics were not an idealistic celebration of unity, but a clash of military powers in an arena not far removed from the battlefield. (shrink)

In this paper I develop a theory of 'function' and function as a deontic modal word and phenomenon. Kratzer’s account of the semantics for the deontic modals is invoked and using her approach a formal schema for the semantics of 'function'-sentences is proposed. My account of function is a modalized and extended version of Cummins’ systems-type account of function. In the biological and physical sciences, on this account, function is a complex empirical deontic modal property. It is built on the (...) property of X’s doing Y well enough to enable Z, which is implicitly deontic because of the evaluative but nonetheless empirical in its biological and physical applications. This account of function resolves many of the traditional puzzles about biological and physical function, and extends naturally to include the other types of function. With a variant treatment of the semantics, this account is argued also to apply to mathematical function, where it is shown to be interestingly related to Frege’s account of function. (shrink)

Contribution of Malay Muslims in science and modern world; proceedings of a seminar.

Fractals are built from patterns generated from immense complexity within the resonant frequencies that connect and tune the universe. Play of such frequencies would result in the exchange of energy and coupling of informational systems at various levels and scales. The present essay serves as a small ride into life’s association with such phenomenon. At a fundamental level communication happens via process called ‘resonance’, and this in turn manifests at a physical level as self-replicating and self-resonating patterns called ‘fractals.’ (...) This could be the reason why at a physical level every structure carries this fractal imprint nature, making it the cosmic signature. The fractal patterns popping out in the natural world surrounding us could be thought of as frozen energy or resonant life patterns. Thus, we hypothesize life could have emerged or appeared as a ‘fracto-resonant’ phenomenon, resulting from the play of interference between material and non-material aspects. In this regard, we propose frequencies or vibrations to be more fundamental to life and call for scientific studies that aim at understanding the effect of various frequencies and vibrations on life forms and consciousness. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Extra Ear:Ear on the Arm BlenderStelarc Click for larger view View full resolutionFigure 1.Blender. Teknikunst—Meat Market, Melbourne 2005. Photograph: Stelarc. Collaborator Nina Sellars stands with the Blender during an installation photograph. Text credit: K. Conden and A. Douglas. Click for larger view View full resolutionFigure 2.Blender (3D Model). Teknikunst—Meat Market, Melbourne 2005. Image: Adam Fiannaca. The installation itself stands at just over 1.6 meters high and is anthropomorphic in (...) scale and structure. Text credit: K. Conden and A. Douglas. Click for larger view View full resolutionFigure 3.Blender. Teknikunst—Meat Market, Melbourne 2005. Photograph: Stelarc. Every few minutes the Blender automatically circulates or "blends" its contents via a system of compressed air pumps and a pneumatic actuator. Text credit: K. Conden and A. Douglas.[End Page 117] Click for larger view View full resolutionFigure 4.Ear Scaffold. Los Angeles, Melbourne 2006. Photographer: Nina Sellars. The preoperative scaffolding that was surgically placed below the skin's surface of performance artist Stelarc. Text credit: R. Ferro. Click for larger view View full resolutionFigure 5.Blender (Biomaterial). Teknikunst—Meat Market, Melbourne 2005. Photograph: Cameron Jones. Both artists, Stelarc and Nina Sellars, undertook liposuction operations specifically for the purpose of this new work and have succeeded in securing the sanitized isolation and, most importantly, the legal ownership of the remnants of the procedures. Text credit: K. Conden and A. Douglas. Click for larger view View full resolutionFigure 6.Hole Hooks Forceps. As a guest at Cornell University's conference "Digital Bodies" in 2001, Stelarc spoke of his desire to implant an ear that could pick up sound. His plans become a reality in the photograph taken during surgery. Text credit: R. Ferro. Click for larger view View full resolutionFigure 7.Extra Ear: Ear on the Arm. Los Angeles, Melbourne 2006. Photographer: Nina Sellars. Stelarc's future plans are to implant Bluetooth technology into the Ear on the Arm in a subsequent surgery so that the ear will pick up sound which will be transmitted via the Internet. Text credit: R. Ferro. Click for larger view View full resolutionFigure 8.Blender (Sterile Hood). Teknikunst—Meat Market, Melbourne 2005. Photograph: Stelarc. The biomaterials are now housed within the Blender's industrial casing, on exhibition at the Meat Market Gallery B in North Melbourne until August 18. Text credit: K. Conden and A. Douglas.[End Page 118]Stelarc- Biographical NotesStelarc is an Australian artist who has performed extensively in Japan, Europe, and the USA—including new music, dance festivals, and experimental theater. He has used medical instruments, prosthetics, robotics, Virtual Reality systems, and the Internet to explore alternate, intimate, and involuntary interfaces with the body. He has performed with a THIRD HAND, a VIRTUAL ARM, a VIRTUAL BODY and a STOMACH SCULPTURE. He has acoustically and visually probed the body—having amplified brainwaves, blood-flow and muscle signals and filmed the inside of his lungs, stomach, and colon, approximately two meters of internal space. He has done twenty-five body SUSPENSIONS with insertions into the skin, in different positions and varying situations in private gallery spaces and in remote locations.For FRACTAL FLESH, as part of Telepolis in 1995, he developed a touch-screen interfaced Muscle Stimulation System, enabling remote access, actuation, and choreography of the body. Performances such as PING BODY and PARASITE (1996, 1997) probe notions of telematic scaling and the engineering of external, extended, and virtual nervous systems for the body using the Internet. In 1998 for Kampnagel, he completed EXOSKELETON—a pneumatically powered six-legged walking machine actuated by arm gestures. During 2000, he completed an EXTENDED ARM—a manipulator with eleven degrees-of-freedom that extends his arm to primate proportions and a MOTION PROSTHESIS—an intelligent, compliant servo-mechanism that enables the performance of precise, repetitive, and accelerated prompting or programming of the arms in real time. In 2002, with the collaboration of the Evolutionary and Adaptive Systems Group, COGs, University of Sussex, and TNTU, the HEXAPOD robot prototype was developed. The six-legged MUSCLE MACHINE was constructed with the assistance of The Nottingham Trent University Engineering team, using fluidic rubber muscle actuators. The PROSTHETIC... (shrink)

Few philosophers have left a legacy like that of Gottfried Wilhelm Leibniz. He has been credited not only with inventing the differential calculus, but also with anticipating the basic ideas of modern logic, information science, and fractal geometry. He made important contributions to such diverse fields as jurisprudence, geology and etymology, while sketching designs for calculating machines, wind pumps, and submarines. But the common presentation of his philosophy as a kind of unworldly idealism is at odds with all this (...) bustling practical activity. In this book Richard. T. W. Arthur offers a fresh reading of Leibniz’s philosophy, clearly situating it in its scientific, political and theological contexts. He argues that Leibniz aimed to provide an improved foundation for the mechanical philosophy based on a new kind of universal language. His contributions to natural philosophy are an integral part of this programme, which his metaphysics, dynamics and organic philosophy were designed to support. Rather than denying that substances really exist in space and time, as the idealist reading proposes, Leibniz sought to provide a deeper understanding of substance and body, and a correct understanding of space as an order of situations and time as an order of successive things. This lively and approachable book will appeal to students of philosophy, as well as anyone seeking a stimulating introduction to Leibniz's thought and its continuing relevance. (shrink)

Human neural and behavioral activities have been reported to exhibit fractal dynamics known as 1/f noise, which is more aptly named 1/f scaling. Some argue that 1/f scaling is a general and pervasive property of the dynamical substrate from which cognitive functions are formed. Others argue that it is an idiosyncratic property of domain‐specific processes. An experiment was conducted to investigate whether 1/f scaling pervades the intrinsic fluctuations of a spoken word. Ten participants each repeated the word bucket over (...) 1,000 times, and fluctuations in acoustic measurements across repetitions generally followed the 1/f scaling relation, including numerous parallel yet distinct series of 1/f fluctuations. On the basis of work showing that 1/f scaling is a universal earmark of metastability, it is proposed that the observed pervasiveness of 1/f fluctuations in speech reflects the fact that cognitive functions are formed as metastable patterns of activity in brain, body, and environment. (shrink)

Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large is intimately related to the infinitely small. Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version (...) of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. (shrink)

My departed point is the assessment that plurality in broadest sense characterizing any post- (for example: post-modernity, post-metaphysical, etc.) context is first of all plurality of whole. We may speak about wholes, movement of whole, and lack of any universal whole. Part do not already belongs to whole implicitly granted and common of all other parts. Now we may speak of parts in another relation: non of parts as parts of some common of all parts whole, but parts of difference (...) wholes, and at the same time without any universal whole common of all the wholes. The paper is devoted concretely to the influence of such a comprehension of whole upon some basic notion of physics (especially quantum mechanics and information, relativity) and mathematics, namely probability, set, movement,time. Their changes exert influence upon the fundamental pbilosophical concepts of being and time, knowledge and being-in-the-world. The new conception of fractal, and its meaning in philosophy points out, too. Constancy and always existing of whole is equivalent to Newton time, energy conservation law, local realism and ''hidden parameters" of any correlations, a union of sets exists always if the two sets are granted. (shrink)

The book you hold in your hands is the outcome of the "ISCS 2013: Interdisciplinary Symposium on Complex Systems" held at the historical capital of Bohemia as a continuation of our series of symposia in the science of complex systems. Prague, one of the most beautiful European cities, has its own beautiful genius loci. Here, a great number of important discoveries were made and many important scientists spent fruitful and creative years to leave unforgettable traces. The perhaps most significant period (...) was the time of Rudolf II who was a great supporter of the art and the science and attracted a great number of prominent minds to Prague. This trend would continue. Tycho Brahe, Niels Henrik Abel, Johannes Kepler, Bernard Bolzano, August Cauchy Christian Doppler, Ernst Mach, Albert Einstein and many others followed developing fundamental mathematical and physical theories or expanding them. Thus in the beginning of the 17th century, Kepler formulated here the first two of his three laws of planetary motion on the basis of Tycho Brahe’s observations. In the 19th century, nowhere differentiable continuous functions (of a fractal character) were constructed here by Bolzano along with a treatise on infinite sets, titled “Paradoxes of Infinity” (1851). Weierstrass would later publish a similar function in 1872. In 1842, Doppler as a professor of mathematics at the Technical University of Prague here first lectured about a physical effect to bear his name later. And the epoch-making physicist Albert Einstein – while being a chaired professor of theoretical physics at the German University of Prague – arrived at the decisive steps of his later finished theory of general relativity during the years 1911–1912. In Prague, also many famous philosophers and writers accomplished their works; for instance, playwright arel ape coined the word "robot" in Prague (“robot” comes from the Czech word “robota” which means “forced labor”). (shrink)

The Language of Symmetry is a re-assessment of the structure and reach of symmetry, by an interdisciplinary group of specialists from the arts, humanities, and sciences at Oxford University. It explores, amongst other topics order and chaos in the formation of planetary systems entropy and symmetry in particle physics group theory, fractals and self-similarity symmetrical structures in western classical music, and how biological systems harness disorder to create order. This book aims to open up the scope of interdisciplinary work in (...) the study of symmetry and is intended for scholars of any background - whether it be science, arts or philosophy. (shrink)