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Mathematics and the natural sciences [[electronic resource] ] : the physical singularity of life / / Francis Bailly, Giuseppe Longo
| Mathematics and the natural sciences [[electronic resource] ] : the physical singularity of life / / Francis Bailly, Giuseppe Longo |
| Autore | Bailly Francis |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (337 p.) |
| Disciplina | 510.1 |
| Altri autori (Persone) | LongoG (Giuseppe) |
| Collana | Advances in computer science and engineering: Texts |
| Soggetto topico |
Mathematics - Philosophy
Physics - Philosophy Biomathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-23454-8
9786613234544 1-84816-694-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Mathematical Concepts and Physical Objects; Introduction; 1.1 On the Foundations of Mathematics. A First Inquiry; 1.1.1 Terminological issues?; 1.1.2 The genesis of mathematical structures and of their relationships - a few conceptual analogies; 1.1.3 Formalization, calculation, meaning, subjectivity; 1.1.4 Between cognition and history: Towards new structures of intelligibility; 1.2 Mathematical Concepts: A Constructive Approach; 1.2.1 Genealogies of concepts; 1.2.2 The "transcendent" in physics and in mathematics; 1.2.3 Laws, structures, and foundations
1.2.4 Subject and objectivity1.2.5 From intuitionism to a renewed constructivism; 1.3 Regarding Mathematical Concepts and Physical Objects; 1.3.1 "Friction" and the determination of physical objects; 1.3.2 The absolute and the relative in mathematics and in physics; 1.3.3 On the two functions of language within the process of objectification and the construction of mathematical models in physics; 1.3.4 From the relativity to reference universes to that of these universes themselves as generators of physical invariances; 1.3.5 Physical causality and mathematical symmetry 1.3.6 Towards the "cognitive subject"Chapter 2 Incompleteness and Indetermination in Mathematics and Physics; Introduction; 2.1 The Cognitive Foundations of Mathematics: Human Gestures in Proofs and Mathematical Incompleteness of Formalisms; 2.1.1 Introduction; 2.1.2 Machines, body, and rationality; 2.1.3 Ameba, motivity, and signification; 2.1.4 The abstract and the symbolic; the rigor; 2.1.5 From the Platonist response to action and gesture; 2.1.6 Intuition, gestures, and the numeric line; 2.1.7 Mathematical incompleteness of formalisms; 2.1.8 Iterations and closures on the horizon 2.1.9 Intuition2.1.10 Body gestures and the "cogito"; 2.1.11 Summary and conclusion of part 2.1; 2.2 Incompleteness, Uncertainty, and Infinity: Differences and Similarities Between Physics and Mathematics; 2.2.1 Completeness/incompleteness in physical theories; 2.2.2 Finite/infinite in mathematics and physics; Chapter 3 Space and Time from Physics to Biology; 3.1 An Introduction to the Space and Time of Modern Physics; 3.1.1 Taking leave of Laplace; 3.1.2 Three types of physical theory: Relativity, quantum physics, and the theory of critical transitions in dynamical systems 3.1.3 Some epistemological remarks3.2 Towards Biology: Space and Time in the "Field" of Living Systems; 3.2.1 The time of life; 3.2.2 More on Biological time; 3.2.3 Dynamics of the self-constitution of living systems; 3.2.4 Morphogenesis; 3.2.5 Information and geometric structure; 3.3 Spatiotemporal Determination and Biology; 3.3.1 Biological aspects; 3.3.2 Space: Laws of scaling and of critical behavior. The geometry of biological functions; 3.3.3 Three types of time; 3.3.4 Epistemological and mathematical aspects; 3.3.5 Some philosophy, to conclude Chapter 4 Invariances, Symmetries, and Symmetry Breakings |
| Record Nr. | UNINA-9910464495203321 |
Bailly Francis
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and the natural sciences [[electronic resource] ] : the physical singularity of life / / Francis Bailly, Giuseppe Longo
| Mathematics and the natural sciences [[electronic resource] ] : the physical singularity of life / / Francis Bailly, Giuseppe Longo |
| Autore | Bailly Francis |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (337 p.) |
| Disciplina | 510.1 |
| Altri autori (Persone) | LongoG (Giuseppe) |
| Collana | Advances in computer science and engineering: Texts |
| Soggetto topico |
Mathematics - Philosophy
Physics - Philosophy Biomathematics |
| ISBN |
1-283-23454-8
9786613234544 1-84816-694-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Mathematical Concepts and Physical Objects; Introduction; 1.1 On the Foundations of Mathematics. A First Inquiry; 1.1.1 Terminological issues?; 1.1.2 The genesis of mathematical structures and of their relationships - a few conceptual analogies; 1.1.3 Formalization, calculation, meaning, subjectivity; 1.1.4 Between cognition and history: Towards new structures of intelligibility; 1.2 Mathematical Concepts: A Constructive Approach; 1.2.1 Genealogies of concepts; 1.2.2 The "transcendent" in physics and in mathematics; 1.2.3 Laws, structures, and foundations
1.2.4 Subject and objectivity1.2.5 From intuitionism to a renewed constructivism; 1.3 Regarding Mathematical Concepts and Physical Objects; 1.3.1 "Friction" and the determination of physical objects; 1.3.2 The absolute and the relative in mathematics and in physics; 1.3.3 On the two functions of language within the process of objectification and the construction of mathematical models in physics; 1.3.4 From the relativity to reference universes to that of these universes themselves as generators of physical invariances; 1.3.5 Physical causality and mathematical symmetry 1.3.6 Towards the "cognitive subject"Chapter 2 Incompleteness and Indetermination in Mathematics and Physics; Introduction; 2.1 The Cognitive Foundations of Mathematics: Human Gestures in Proofs and Mathematical Incompleteness of Formalisms; 2.1.1 Introduction; 2.1.2 Machines, body, and rationality; 2.1.3 Ameba, motivity, and signification; 2.1.4 The abstract and the symbolic; the rigor; 2.1.5 From the Platonist response to action and gesture; 2.1.6 Intuition, gestures, and the numeric line; 2.1.7 Mathematical incompleteness of formalisms; 2.1.8 Iterations and closures on the horizon 2.1.9 Intuition2.1.10 Body gestures and the "cogito"; 2.1.11 Summary and conclusion of part 2.1; 2.2 Incompleteness, Uncertainty, and Infinity: Differences and Similarities Between Physics and Mathematics; 2.2.1 Completeness/incompleteness in physical theories; 2.2.2 Finite/infinite in mathematics and physics; Chapter 3 Space and Time from Physics to Biology; 3.1 An Introduction to the Space and Time of Modern Physics; 3.1.1 Taking leave of Laplace; 3.1.2 Three types of physical theory: Relativity, quantum physics, and the theory of critical transitions in dynamical systems 3.1.3 Some epistemological remarks3.2 Towards Biology: Space and Time in the "Field" of Living Systems; 3.2.1 The time of life; 3.2.2 More on Biological time; 3.2.3 Dynamics of the self-constitution of living systems; 3.2.4 Morphogenesis; 3.2.5 Information and geometric structure; 3.3 Spatiotemporal Determination and Biology; 3.3.1 Biological aspects; 3.3.2 Space: Laws of scaling and of critical behavior. The geometry of biological functions; 3.3.3 Three types of time; 3.3.4 Epistemological and mathematical aspects; 3.3.5 Some philosophy, to conclude Chapter 4 Invariances, Symmetries, and Symmetry Breakings |
| Record Nr. | UNINA-9910788959603321 |
|
Bailly Francis
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and the natural sciences : the physical singularity of life / / Francis Bailly, Giuseppe Longo
| Mathematics and the natural sciences : the physical singularity of life / / Francis Bailly, Giuseppe Longo |
| Autore | Bailly Francis |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (337 p.) |
| Disciplina | 510.1 |
| Altri autori (Persone) | LongoG (Giuseppe) |
| Collana | Advances in computer science and engineering: Texts |
| Soggetto topico |
Mathematics - Philosophy
Physics - Philosophy Biomathematics |
| ISBN |
1-283-23454-8
9786613234544 1-84816-694-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Mathematical Concepts and Physical Objects; Introduction; 1.1 On the Foundations of Mathematics. A First Inquiry; 1.1.1 Terminological issues?; 1.1.2 The genesis of mathematical structures and of their relationships - a few conceptual analogies; 1.1.3 Formalization, calculation, meaning, subjectivity; 1.1.4 Between cognition and history: Towards new structures of intelligibility; 1.2 Mathematical Concepts: A Constructive Approach; 1.2.1 Genealogies of concepts; 1.2.2 The "transcendent" in physics and in mathematics; 1.2.3 Laws, structures, and foundations
1.2.4 Subject and objectivity1.2.5 From intuitionism to a renewed constructivism; 1.3 Regarding Mathematical Concepts and Physical Objects; 1.3.1 "Friction" and the determination of physical objects; 1.3.2 The absolute and the relative in mathematics and in physics; 1.3.3 On the two functions of language within the process of objectification and the construction of mathematical models in physics; 1.3.4 From the relativity to reference universes to that of these universes themselves as generators of physical invariances; 1.3.5 Physical causality and mathematical symmetry 1.3.6 Towards the "cognitive subject"Chapter 2 Incompleteness and Indetermination in Mathematics and Physics; Introduction; 2.1 The Cognitive Foundations of Mathematics: Human Gestures in Proofs and Mathematical Incompleteness of Formalisms; 2.1.1 Introduction; 2.1.2 Machines, body, and rationality; 2.1.3 Ameba, motivity, and signification; 2.1.4 The abstract and the symbolic; the rigor; 2.1.5 From the Platonist response to action and gesture; 2.1.6 Intuition, gestures, and the numeric line; 2.1.7 Mathematical incompleteness of formalisms; 2.1.8 Iterations and closures on the horizon 2.1.9 Intuition2.1.10 Body gestures and the "cogito"; 2.1.11 Summary and conclusion of part 2.1; 2.2 Incompleteness, Uncertainty, and Infinity: Differences and Similarities Between Physics and Mathematics; 2.2.1 Completeness/incompleteness in physical theories; 2.2.2 Finite/infinite in mathematics and physics; Chapter 3 Space and Time from Physics to Biology; 3.1 An Introduction to the Space and Time of Modern Physics; 3.1.1 Taking leave of Laplace; 3.1.2 Three types of physical theory: Relativity, quantum physics, and the theory of critical transitions in dynamical systems 3.1.3 Some epistemological remarks3.2 Towards Biology: Space and Time in the "Field" of Living Systems; 3.2.1 The time of life; 3.2.2 More on Biological time; 3.2.3 Dynamics of the self-constitution of living systems; 3.2.4 Morphogenesis; 3.2.5 Information and geometric structure; 3.3 Spatiotemporal Determination and Biology; 3.3.1 Biological aspects; 3.3.2 Space: Laws of scaling and of critical behavior. The geometry of biological functions; 3.3.3 Three types of time; 3.3.4 Epistemological and mathematical aspects; 3.3.5 Some philosophy, to conclude Chapter 4 Invariances, Symmetries, and Symmetry Breakings |
| Record Nr. | UNINA-9910826406603321 |
|
Bailly Francis
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scienza, tecnologia e valori morali : quale futuro? / / Pierluigi Barrotta, Giuseppe O. Longo, Massimo Negrotti (a cura di) [[electronic resource]]
| Scienza, tecnologia e valori morali : quale futuro? / / Pierluigi Barrotta, Giuseppe O. Longo, Massimo Negrotti (a cura di) [[electronic resource]] |
| Pubbl/distr/stampa | Roma, : Armando, c2011 |
| Descrizione fisica | 1 online resource (223 p. ) |
| Altri autori (Persone) |
BarrottaPierluigi
LongoG (Giuseppe) NegrottiMassimo <1944-> |
| Collana | I quaderni di Forlì |
| Soggetto topico |
Science - Moral and ethical aspects
Technology - Moral and ethical aspects Philosophy Philosophy & Religion Ethics |
| ISBN | 88-6081-980-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Altri titoli varianti | Scienza, tecnologia e valori morali |
| Record Nr. | UNINA-9910131659803321 |
| Roma, : Armando, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thinking, observing and mining the universe [[electronic resource] ] : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo
| Thinking, observing and mining the universe [[electronic resource] ] : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo |
| Pubbl/distr/stampa | [Hackensack] New Jersey ; ; London, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (361 p.) |
| Disciplina | 523.1 |
| Altri autori (Persone) |
MieleGennaro
LongoG (Giuseppe) |
| Soggetto topico |
Inflationary universe
Cosmology Astronomy Univers inflatoire Astronomie |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-89900-3
9786611899004 981-270-299-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Invited and Oral Presentations ; Planck-Scale Structure of Spacetime and Some Implications for Astrophysics and Cosmology ; On the Way to the Determination of the Cosmic Ray Mass Composition by the Pierre Auger Fluorescence Detector: The Minimum Momentum Method
Direct Search for Wimps Ultra High Energy Cosmic Rays ; Hamiltonian Gravity with Variable G A from the Renormalization Group ; The Axion as a Curvaton in String Cosmology Models ; Structure and Evolution of Cluster Galaxies ; Microlensing Towards M31: Candidates and Perspectives Scalar Perturbations in a-Regularised Pre-Big Bang Models Cosmological Density of Dark Compact Objects from Observations of Lensed QSOS ; Status of Ligo Interferometers ; Peculiar Velocities Field and the Matter Density of the Universe in Scalar Field Quintessence Models Impact of Foregrounds on Cosmic Microwave Background Maps Ultrahigh Energy Cosmic Rays and Neutrinos ; The Cosmic Renaissance: Reionization Era as the New Cosmological Frontier ; The Energy-Momentum Tensor of Quantum Fluctuations in Chaotic o2 Inflation Neutrino Oscillations: A Phenomenological Approach Late-Time Effects of Planck-Scale Cosmology: Dilatonic Interpretation of the Dark Energy Field ; Prospects for Exavolt Neutrino Astronomy ; High-Energy Neutrino Astronomy ; Neutrino Cosmology - An Update ; Microlensing Towards the LMC Present and Future Neutrino Oscillation Experiments |
| Record Nr. | UNINA-9910454086903321 |
| [Hackensack] New Jersey ; ; London, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thinking, observing and mining the universe [[electronic resource] ] : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo
| Thinking, observing and mining the universe [[electronic resource] ] : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo |
| Pubbl/distr/stampa | [Hackensack] New Jersey ; ; London, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (361 p.) |
| Disciplina | 523.1 |
| Altri autori (Persone) |
MieleGennaro
LongoG (Giuseppe) |
| Soggetto topico |
Inflationary universe
Cosmology Astronomy Univers inflatoire Astronomie |
| ISBN |
1-281-89900-3
9786611899004 981-270-299-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Invited and Oral Presentations ; Planck-Scale Structure of Spacetime and Some Implications for Astrophysics and Cosmology ; On the Way to the Determination of the Cosmic Ray Mass Composition by the Pierre Auger Fluorescence Detector: The Minimum Momentum Method
Direct Search for Wimps Ultra High Energy Cosmic Rays ; Hamiltonian Gravity with Variable G A from the Renormalization Group ; The Axion as a Curvaton in String Cosmology Models ; Structure and Evolution of Cluster Galaxies ; Microlensing Towards M31: Candidates and Perspectives Scalar Perturbations in a-Regularised Pre-Big Bang Models Cosmological Density of Dark Compact Objects from Observations of Lensed QSOS ; Status of Ligo Interferometers ; Peculiar Velocities Field and the Matter Density of the Universe in Scalar Field Quintessence Models Impact of Foregrounds on Cosmic Microwave Background Maps Ultrahigh Energy Cosmic Rays and Neutrinos ; The Cosmic Renaissance: Reionization Era as the New Cosmological Frontier ; The Energy-Momentum Tensor of Quantum Fluctuations in Chaotic o2 Inflation Neutrino Oscillations: A Phenomenological Approach Late-Time Effects of Planck-Scale Cosmology: Dilatonic Interpretation of the Dark Energy Field ; Prospects for Exavolt Neutrino Astronomy ; High-Energy Neutrino Astronomy ; Neutrino Cosmology - An Update ; Microlensing Towards the LMC Present and Future Neutrino Oscillation Experiments |
| Record Nr. | UNINA-9910782284703321 |
| [Hackensack] New Jersey ; ; London, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thinking, observing and mining the universe : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo
| Thinking, observing and mining the universe : proceedings of the international conference : Sorrento, Italy, 22-27 September 2003 / / edited by Gennaro Miele, Giuseppe Longo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | [Hackensack] New Jersey ; ; London, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (361 p.) |
| Disciplina | 523.1 |
| Altri autori (Persone) |
MieleGennaro
LongoG (Giuseppe) |
| Soggetto topico |
Inflationary universe
Cosmology Astronomy Univers inflatoire Astronomie |
| ISBN |
1-281-89900-3
9786611899004 981-270-299-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Invited and Oral Presentations ; Planck-Scale Structure of Spacetime and Some Implications for Astrophysics and Cosmology ; On the Way to the Determination of the Cosmic Ray Mass Composition by the Pierre Auger Fluorescence Detector: The Minimum Momentum Method
Direct Search for Wimps Ultra High Energy Cosmic Rays ; Hamiltonian Gravity with Variable G A from the Renormalization Group ; The Axion as a Curvaton in String Cosmology Models ; Structure and Evolution of Cluster Galaxies ; Microlensing Towards M31: Candidates and Perspectives Scalar Perturbations in a-Regularised Pre-Big Bang Models Cosmological Density of Dark Compact Objects from Observations of Lensed QSOS ; Status of Ligo Interferometers ; Peculiar Velocities Field and the Matter Density of the Universe in Scalar Field Quintessence Models Impact of Foregrounds on Cosmic Microwave Background Maps Ultrahigh Energy Cosmic Rays and Neutrinos ; The Cosmic Renaissance: Reionization Era as the New Cosmological Frontier ; The Energy-Momentum Tensor of Quantum Fluctuations in Chaotic o2 Inflation Neutrino Oscillations: A Phenomenological Approach Late-Time Effects of Planck-Scale Cosmology: Dilatonic Interpretation of the Dark Energy Field ; Prospects for Exavolt Neutrino Astronomy ; High-Energy Neutrino Astronomy ; Neutrino Cosmology - An Update ; Microlensing Towards the LMC Present and Future Neutrino Oscillation Experiments |
| Record Nr. | UNINA-9910809091003321 |
| [Hackensack] New Jersey ; ; London, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||