Geometries Of Nature Living Systems And Human Cognition

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Geometries of Nature, Living Systems and Human Cognition

Author : Luciano Boi
Publisher : World Scientific Publishing Company Incorporated
Page : 419 pages
File Size : 46,9 Mb
Release : 2005
Category : Science
ISBN : 9812564748

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Geometries of Nature, Living Systems and Human Cognition by Luciano Boi Pdf

Intended to provide a study of some mathematical and physical subjects which are at the core of developments in the natural and living sciences. This book aims to show that an accomplished movement of geometrisation has enabled the discovery of a varietyof structures and behaviors in physical reality and in living matter.

New Trends in Geometry

Author : Claudio Bartocci,Luciano Boi,Corrado Sinigaglia
Publisher : World Scientific
Page : 328 pages
File Size : 55,9 Mb
Release : 2011-05-19
Category : Mathematics
ISBN : 9781908977885

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New Trends in Geometry by Claudio Bartocci,Luciano Boi,Corrado Sinigaglia Pdf

This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines. Contents:Geometry, Theoretical Physics and Cosmology:The Emergence of Algebraic Geometry in Contemporary Physics (Claudio Bartocci & Ugo Bruzzo)Quantum Gravity and Quantum Geometry (Mauro Carfora)The de Sitter and Anti-de Sitter Universes (Ugo Moschella)Geometry and Topology in Relativistic Cosmology (Jean-Pierre Luminet)The Problem of Space in Neurosciences:Space Coding in the Cerebral Cortex (Leonardo Fogassi)Action and Space Representation (Anna Berti & Alessia Folegatti)The Space Representations in the Brain (Claudio Brozzoli & Alessandro Farnè)The Enactive Constitution of Space (Carrado Sinigaglia & Chiara Brozzo)Geometrical Methods in the Biological Sciences:Causes and Symmetries in Natural Sciences: The Continuum and the Discrete in Mathematical Modelling (Francis Bailly & Giuseppe Longo)Topological Invariants of Geometrical Surfaces and the Protein Folding Problem (Riccardo Broglia)The Geometry of Dense Packing and Biological Structures (Jean-François Sadoc)When Topology and Biology Meet ‘For Life’: The Interactions Between Topological Forms and Biological Functions (Luciano Boi) Readership: Students and researchers in mathematical sciences at graduate level. Keywords:Geometrical Models;Spatial Perception;Mirror Neurons;Quantum Field Theory;String TheoryKey Features:Multidisciplinary approachDistinguished contributors working in different research areasNovel perspectives on the interactions between mathematics and biology

Complexity and Emergence

Author : Sergio Albeverio,Elisa Mastrogiacomo,Emanuela Rosazza Gianin,Stefania Ugolini
Publisher : Springer Nature
Page : 208 pages
File Size : 54,5 Mb
Release : 2022-05-07
Category : Mathematics
ISBN : 9783030957032

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Complexity and Emergence by Sergio Albeverio,Elisa Mastrogiacomo,Emanuela Rosazza Gianin,Stefania Ugolini Pdf

This book includes contributions about mathematics, physics, philosophy of science, economics and finance and resulted from the Summer School “Complexity and Emergence: Ideas, Methods, with a Special Attention to Economics and Finance” held in Lake Como School of Advanced Studies, on 22–27 July 2018. The aim of the book is to provide useful instruments from the theory of complex systems, both on the theoretical level and the methodological ones, profiting from knowledge and insights from leading experts of different communities. It moves from the volume editors' conviction that to achieve progress in understanding socio-economical as well as ecological problems of our complex word such preparation is needed, together with a critical reconsideration of our basic scientific and economical approach. The potential readers are primarily master and doctorate students of mathematics, information sciences, theoretical physics and economics, as well as research workers in those areas, who want to enlarge their spectrum of knowledge towards the area of complexity and emergence. Since ideas and methods of the theory of complex systems also apply to other areas (from engineering and architecture to biology and medicine, e.g.), students and research workers from those areas will also profit from this book.

Philosophical and Scientific Perspectives on Downward Causation

Author : Michele Paolini Paoletti,Francesco Orilia
Publisher : Taylor & Francis
Page : 334 pages
File Size : 52,7 Mb
Release : 2017-02-17
Category : Philosophy
ISBN : 9781317271444

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Philosophical and Scientific Perspectives on Downward Causation by Michele Paolini Paoletti,Francesco Orilia Pdf

Downward causation plays a fundamental role in many theories of metaphysics and philosophy of mind. It is strictly connected with many topics in philosophy, including but not limited to: emergence, mental causation, the nature of causation, the nature of causal powers and dispositions, laws of nature, and the possibility of ontological and epistemic reductions. Philosophical and Scientific Perspectives on Downward Causation brings together experts from different fields—including William Bechtel, Stewart Clark and Tom Lancaster, Carl Gillett, John Heil, Robin F. Hendry, Max Kistler, Stephen Mumford and Rani Lill Anjum —who delve into classic and unexplored lines of philosophical inquiry related to downward causation. It critically assesses the possibility of downward causation given different ontological assumptions and explores the connection between downward causation and the metaphysics of causation and dispositions. Finally, it presents different cases of downward causation in empirical fields such as physics, chemistry, biology and the neurosciences. This volume is both a useful introduction and a collection of original contributions on this fascinating and hotly debated philosophical topic.

Fractal Geometry, Complex Dimensions and Zeta Functions

Author : Michel L. Lapidus,Machiel van Frankenhuijsen
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 54,6 Mb
Release : 2007-08-08
Category : Mathematics
ISBN : 9780387352084

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Fractal Geometry, Complex Dimensions and Zeta Functions by Michel L. Lapidus,Machiel van Frankenhuijsen Pdf

Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to apply to the geometric, spectral and dynamic zeta functions associated with a fractal.

Fractal Geometry, Complex Dimensions and Zeta Functions

Author : Michel Lapidus,Machiel van Frankenhuijsen
Publisher : Springer Science & Business Media
Page : 583 pages
File Size : 42,5 Mb
Release : 2012-09-20
Category : Mathematics
ISBN : 9781461421757

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Fractal Geometry, Complex Dimensions and Zeta Functions by Michel Lapidus,Machiel van Frankenhuijsen Pdf

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

What is Geometry?

Author : Giandomenico Sica
Publisher : Polimetrica s.a.s.
Page : 270 pages
File Size : 54,6 Mb
Release : 2006
Category : Mathematics
ISBN : 9788876990304

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What is Geometry? by Giandomenico Sica Pdf

Science

Author : Bertrand Zavidovique,GiosuŠ Lo Bosco
Publisher : World Scientific
Page : 328 pages
File Size : 41,6 Mb
Release : 2012
Category : Science
ISBN : 9789814383288

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Science by Bertrand Zavidovique,GiosuŠ Lo Bosco Pdf

The book gathers articles that were exposed during the seventh edition of the Workshop ?Data Analysis in Astronomy?. It illustrates a current trend to search for common expressions or models transcending usual disciplines, possibly associated with some lack in the Mathematics required to model complex systems. In that, data analysis would be at the epicentre and a key facilitator of some current integrative phase of Science.It is all devoted to the question of ?representation in Science?, whence its name, IMAGe IN AcTION, and main thrusts Part A: Information: data organization and communication, Part B: System: structure and behaviour, Part C: Data ? System representation. Such a classification makes concepts as ?complexity? or ?dynamics? appear like transverse notions: a measure among others or a dimensional feature among others.Part A broadly discusses a dialogue between experiments and information, be information extracted-from or brought-to experiments. The concept is fundamental in statistics and tailors to the emergence of collective behaviours. Communication then asks for uncertainty considerations ? noise, indeterminacy or approximation ? and its wider impact on the couple perception-action. Clustering being all about uncertainty handling, data set representation appears not to be the only solution: Introducing hierarchies with adapted metrics, a priori pre-improving the data resolution are other methods in need of evaluation. The technology together with increasing semantics enables to involve synthetic data as simulation results for the multiplication of sources.Part B plays with another couple important for complex systems: state vs. transition. State-first descriptions would characterize physics, while transition-first would fit biology. That could stem from life producing dynamical systems in essence. Uncertainty joining causality here, geometry can bring answers: stable patterns in the state space involve constraints from some dynamics consistency. Stable patterns of activity characterize biological systems too. In the living world, the complexity ? i.e. a global measure on both states and transitions ? increases with consciousness: this might be a principle of evolution. Beside geometry or measures, operators and topology have supporters for reporting on dynamical systems. Eventually targeting universality, the category theory of topological thermodynamics is proposed as a foundation of dynamical system understanding.Part C details examples of actual data-system relations in regards to explicit applications and experiments. It shows how pure computer display and animation techniques link models and representations to ?reality? in some ?concrete? virtual, manner. Such techniques are inspired from artificial life, with no connection to physical, biological or physiological phenomena! The Virtual Observatory is the second illustration of the evidence that simulation helps Science not only in giving access to more flexible parameter variability, but also due to the associated data and method storing-capabilities. It fosters interoperability, statistics on bulky corpuses, efficient data mining possibly through the web etc. in short a reuse of resources in general, including novel ideas and competencies. Other examples deal more classically with inverse modelling and reconstruction, involving Bayesian techniques or chaos but also fractal and symmetry.

When Form Becomes Substance

Author : Luciano Boi,Carlos Lobo
Publisher : Springer Nature
Page : 607 pages
File Size : 42,6 Mb
Release : 2022-11-30
Category : Science
ISBN : 9783030831257

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When Form Becomes Substance by Luciano Boi,Carlos Lobo Pdf

This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.

The Quantum Vacuum

Author : Luciano Boi
Publisher : JHU Press
Page : 233 pages
File Size : 50,9 Mb
Release : 2011-10-28
Category : Science
ISBN : 9781421402475

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The Quantum Vacuum by Luciano Boi Pdf

A vacuum, classically understood, contains nothing. The quantum vacuum, on the other hand, is a seething cauldron of nothingness: particle pairs going in and out of existence continuously and rapidly while exerting influence over an enormous range of scales. Acclaimed mathematical physicist and natural philosopher Luciano Boi expounds the quantum vacuum, exploring the meaning of nothingness and its relationship with physical reality. Boi first provides a deep analysis of the interaction between geometry and physics at the quantum level. He next describes the relationship between the microscopic and macroscopic structures of the world. In so doing, Boi sheds light on the very nature of the universe, stressing in an original and profound way the relationship between quantum geometry and the internal symmetries underlying the behavior of matter and the interactions of forces. Beyond the physics and mathematics of the quantum vacuum, Boi offers a profoundly philosophical interpretation of the concept. Plato and Aristotle did not believe a vacuum was possible. How could nothing be something, they asked? Boi traces the evolution of the quantum vacuum from an abstract concept in ancient Greece to its fundamental role in quantum field theory and string theory in modern times. The quantum vacuum is a complex entity, one essential to understanding some of the most intriguing issues in twentieth-century physics, including cosmic singularity, dark matter and energy, and the existence of the Higgs boson particle. Boi explains with simple clarity the relevant theories and fundamental concepts of the quantum vacuum. Theoretical, mathematical, and particle physicists, as well as researchers and students of the history and philosophy of physics, will find The Quantum Vacuum to be a stimulating and engaging primer on the topic.

Foundations of Mathematics and Physics One Century After Hilbert

Author : Joseph Kouneiher
Publisher : Springer
Page : 441 pages
File Size : 53,7 Mb
Release : 2018-05-26
Category : Science
ISBN : 9783319648132

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Foundations of Mathematics and Physics One Century After Hilbert by Joseph Kouneiher Pdf

This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.

Information Studies And The Quest For Transdisciplinarity: Unity Through Diversity

Author : Burgin Mark,Hofkirchner Wolfgang
Publisher : World Scientific
Page : 560 pages
File Size : 53,6 Mb
Release : 2017-03-27
Category : Language Arts & Disciplines
ISBN : 9789813109018

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Information Studies And The Quest For Transdisciplinarity: Unity Through Diversity by Burgin Mark,Hofkirchner Wolfgang Pdf

This book is the second volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org). The book gives an up-to-date multiaspect exposition of contemporary studies in the field of information and related areas. It presents most recent achievements, ideas and opinions of leading researchers in this domain reflecting their quest for advancing information science and technology. With the goal of building a better society, in which social and technological innovations help make information key to the flourishing of humanity, we dispense with the bleak view of the dark side of information society. It is aimed at readers that conduct research into any aspect of information, information society and information technology, who develop or implement social or technological applications. It is also for those who have an interest in participating in setting the goals for the sciences of information and the social applications of technological achievements and the scientific results.

Parsing the Turing Test

Author : Robert Epstein,Gary Roberts,Grace Beber
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 42,6 Mb
Release : 2008-12-01
Category : Computers
ISBN : 9781402096242

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Parsing the Turing Test by Robert Epstein,Gary Roberts,Grace Beber Pdf

An exhaustive work that represents a landmark exploration of both the philosophical and methodological issues surrounding the search for true artificial intelligence. Distinguished psychologists, computer scientists, philosophers, and programmers from around the world debate weighty issues such as whether a self-conscious computer would create an internet ‘world mind’. This hugely important volume explores nothing less than the future of the human race itself.

In Search of the Riemann Zeros

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 45,6 Mb
Release : 2008
Category : Mathematics
ISBN : 0821842226

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In Search of the Riemann Zeros by Michel Laurent Lapidus Pdf

Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line.