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The Absence of “Perfect Induction”in the Science

Journal of Applied Mathematics and Physics 2024年第5期12卷 1930-1947页

作者： corrado Giannantoni ENEA— Ente Nazionale per le Energie Alternative Rome Italy

The present paper is finalized to show that the Science, even if considered in its two different Phenomenological Approaches at present known, is unable to assert that: “Thinks are like that”. This is because both the two Scientific Approaches previously mentioned have not the property of “the perfect induction”. Consequently, although they can even reach an experimental confirmation of the theoretical results, and thus a “valid description” of the various phenomena of the surrounding world, such a description has not an “absolute value”. In fact, it always and only has an “operative validity”, that is, it exclusively and solely refers to an “experimental point of view”. This means that such an “operative validity” cannot represent the basis for a logical process characterized by a “perfect induction”. In addition, the Traditional Scientific Approach is also characterized by “Insoluble” Problems, “Intractable Problems”, Problems with “drifts”, which could generally be termed as “side effects”. On the other hand, the same com-possible Scientific Approach based on the Emerging Quality of Self-Organizing Systems, also presents its “Emerging Exits”. Consequently, none of the two mentioned scientific Approaches has the “gift” of “the perfect induction”. However, there are significant differences between the two. Differences that may “suggest” the most appropriate choice among them for an “operative point of view”. This conclusion will be com-proved by considering, with particular reference, both the “side effects”, which are related to the Traditional Approach and, on the other hand, the “Emerging Exits”, which specifically pertain to the new Scientific Approach based on the Emerging Quality of Self-Organizing Systems.

关键词： Perfect Induction Maximum Ordinality Principle Incipient Differential Calculus

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The Accelerated Expansion of the Universe in the Light of the Maximum Ordinality Principle

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Journal of Applied Mathematics and Physics 2024年第2期12卷 585-602页

作者： corrado Giannantoni ENEA-Ente Nazionale per le Energie Alternative Rome Italy

The main aim of the paper is to present (and at the same time offer) a differ-ent perspective for the analysis of the accelerated expansion of the Universe. A perspective that can surely be considered as being “in parallel” to the tradition-al ones, such as those based, for example, on the hypotheses of “Dark Matter” and “Dark Energy”, or better as a “com-possible” perspective, because it is not understood as being “exclusive”. In fact, it is an approach that, when con-firmed by experimental results, always keeps its validity from an “operative” point of view. This is because, in analogy to the traditional perspectives, on the basis of Popper’s Falsification Principle the corresponding “Generative” Logic on which it is based has not the property of the perfect induction. The basic difference then only consists in the fact that the Evolution of the Universe is now modeled by considering the Universe as a Self-Organizing System, which is thus analyzed in the light of the Maximum Ordinality Principle.

关键词： Accelerated Expansion of the Universe Maximum Ordinality Principle Incip-ient Differential Calculus

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When the skin meets the bowel: About a case

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Open Journal of Gastroenterology 2013年第6期3卷 303-306页

作者： Ganzetti Giulia Campanati Anna Di Sario Antonio rubini corrado Zizzi Antonio Tarantino Giuseppe Benedetti Antonio Offidani Annamaria Anatomic Pathology Institute Department of Neurosciences Polytechnic University of Marche Ancona Italy Dermatological Clinic Department of Clinical and Molecular Medicine Polytechnic Marche University Ancona Italy Gastroenterologic Clinic Department of Clinical and Molecular Medicine Polytechnic Marche University Ancona Italy

Ulcerative colitis (UC) is a chronic relapsing inflammatory disease of the colorectal region which may be complicated by extraintestinal manifestations, as cutaneous involvement. Immune dysregulation resulting in a lymphocyte mediated destructive process has been suggested as a possible pathogenetic link between gut and skin-related manifestations. The authors describe an atypical clinical aspect of lichen ruber planus in a patient affected by vitiligo, alopecia areata and ulcerative colitis.

关键词： Ulcerative Colitis Vitiligo Lichen Ruber Planus Alopecia Areata Autoimmunity

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Tidal drag and westward drift of the lithosphere

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Geoscience Frontiers 2023年第6期14卷 102-116页

作者： Vincenzo Nesi Oscar Bruno Davide Zaccagnino corrado Mascia Carlo Doglioni Dipartimento di Matematica Guido Castelnuovo Piazzale Aldo Moro5Roma 00185Italy Istituto Nazionale di Geofisica e Vulcanologia Via di Vigna Murata605Roma 00143Italy Computing and Mathematical Sciences Department Caltech1200 E.California Blvd.MC 305-16Pasadena 91125CAUSA Dipartimento di Scienze della Terra Piazzale Aldo Moro5Roma 00185Italy

Tidal forces are generally neglected in the discussion about the mechanisms driving plate tectonics despite a worldwide geodynamic asymmetry also observed at subduction and rift *** tidal drag could theoretically explain the westerly shift of the lithosphere relative to the underlying ***,viscosity in the asthenosphere is apparently too high to allow mechanical decoupling produced by tidal ***,we propose a model for global scale geodynamics accompanied by numerical simulations of the tidal interaction of the Earth with the Moon and the *** provide for the first time a theoretical proof that the tidal drag can produce a westerly motion of the lithosphere,also compatible with the slowing of the Earth’s rotational *** results suggest a westerly rotation of the lithosphere with a lower bound ofω≈(0.1-0.2)°/Myr in the presence of a basal effective shear viscosityη≈10^(16)Pa-s,but it may rise toω>1°/Myr with a viscosity ofη≈≤3×10^(14)Pa-s within the Low-Velocity Zone(LVZ)atop the *** faster velocity would be more compatible with the mainstream of plate motion and the global asymmetry at plate *** on these computations,we suggest that the super-adiabatic asthenosphere,being vigorously convecting,may further reduce the viscous coupling within the LVZ Therefore,the combination of solid Earth tides,ultra-low viscosity LVZ and asthenospheric polarized small-scale convection may mechanically satisfy the large-scale decoupling of the lithosphere relative to the underlying *** plate motions are explained because of lateral viscosity heterogeneities at the base of the lithosphere,which determine variable lithosphere-asthenosphere decoupling and plate interactions,hence plate tectonics.

关键词： Tidal drag Plate motions Polarized plate tectonics Lithosphere-asthenosphere interaction

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The Maximum Ordinality Principle (MOP) and Its Formal Language, Namely the “Incipient” Differential Calculus (IDC), Open, and at the Same Time Offer, A Radically New Perspective to Modern Science

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Journal of Applied Mathematics and Physics 2022年第9期10卷 2649-2689页

作者： corrado Giannantoni Ente Nazionale per le Energie Alternative Rome Italy

The aim of the paper, as explicitly indicated by its title, is to show that The Maximum Ordinality Principle (MOP) and its Formal Language, namely The “Incipient” Differential Calculus (IDC), open, and at the same time offer, a Radically New Perspective to Modern Science. The methodology adopted, in this respect, is articulated in two parts: 1) firstly, by recalling the general characteristics of the Self-Organizing Systems, whose behavior is described by the Maximum Ordinality Principle and, at the same time, the reasons for the introduction of a different Formal Language termed as IDC (“Incipient” Differential Calculus);2) afterwards, by comparing the specific properties of the MOP and IDC, and the Fundamental Differences they introduce in describing the surrounding world, with respect to any Scientific Discipline based on TDC. Self-Organizing Systems, in fact, always show an unexpected “excess” with respect to their phenomenological premises. An “excess” can be termed as Quality (with a capital Q) because it is not a simple “property” of a given phenomenon. In fact, it is never reducible to the usual categories of the Traditional Science: efficient causality, logical necessity, functional relationships. Consequently, the description of such an “Emerging Quality” requires new mental categories (Generative Causality, Adherent Logic, Ordinal Relationships) and, correspondingly, a new Formal Language, termed IDC. The result of such a comparison is that the New Scientific Perspective, in spite of the different ways of describing Physical, Biological and Human System, always remains, by itself, a “com-possible” option with respect to the Traditional one. The two Perspectives, in fact, are not in contrast between them. They simply “co-exist”, because of the absence of Perfect Induction in their corresponding Logics. However, in spite of the fact that the two Perspectives are “com-possible” in principle, their differences become significantly “marked” at the operative le

关键词： IDC TDC Theoretical Com-Possibility Operative In-Equivalence Harmonious Over-Ordinal Com-Possibility

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Solution to the “Three-Body Problem” in the Light of the Maximum Ordinality Principle, as a “Suggestion” for a Ri-Orientation of the Present Scientific Perspective in “Favor” of the “Irreducible Quality”

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Journal of Applied Mathematics and Physics 2023年第1期11卷 209-259页

作者： corrado Giannantoni Ente Nazionale per le Energie Alternative Rome Italy

This paper presents the Solution to the “Three-body Problem” in the Light of the Maximum Ordinality Principle. In the first part, however, it starts with the Solution to the Solar System, made up of “11 Bodies”. This is because, in such a context, the “Three-body Problem” can be analyzed in its all descriptive possibilities. Nonetheless, the paper also presents the Solution to the “Three-body Problem” with reference to Systems totally independent from the Solar System, such as, for example, the “Triple Stars” and the “Triple Galaxies”. In this way, the paper offers a sufficiently complete framework concerning the Solution to the “Three-body Problem”, always in the Light of the Maximum Ordinality Principle, described in detail in Appendix A.

关键词： Three-Body Problem Light of the Maximum Ordinality Principle Solution to the Solar System

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Generativity of Self-Organizing Processes and Their Correlative Description in Terms of a Formal Language of Meta-Ordinal Generative Nature, in the Light of the Maximum Ordinality Principle and the Explicit Solution to the “Three-Body Problem”

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Journal of Applied Mathematics and Physics 2023年第10期11卷 3159-3202页

作者： corrado Giannantoni Ente Nazionale per le Energie Alternative Rome Italy

The main objective of this paper is to demonstrate that the internal processes of Self-Organizing Systems represent a unique and singular process, characterized by their specific generativity. This process can be modeled using the Maximum Ordinality Principle and its associated formal language, known as the “Incipient” Differential Calculus (IDC).

关键词： Maximum Ordinality Principle Solution to the “Three-Body Problem” Generativity of Self-Organizing Processes Formal Language of Ordinal Generativity Formal Language of Meta-Ordinal Generativity

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TWENTY-EIGHT YEARS WITH “HYPERBOLIC CONSERVATION LAWS WITH RELAXATION”

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Acta Mathematica Scientia 2015年第4期35卷 807-831页

作者： corrado MASCIA Dipartimento di Matematica "G. Castelnuovo" Sapienza Università di Roma P.le Aldo Moro

This paper is a review on the results inspired by the publication “Hyperbolic conservation laws with relaxation” by Tai-Ping Liu [1], with emphasis on the topic of nonlinear waves （specifically, rarefaction and shock waves）. The aim is twofold： firstly, to report in details the impact of the article on the subsequent research in the area; secondly, to detect research trends which merit attention in the （near） future.

关键词： conservation laws relaxation nonlinear waves stability

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Three-Drug Therapies in Psychiatry in the Light of the Maximum Ordinality Principle and the Explicit Solution to the “Three-Body Problem”—D.D. 23 Luglio 2023, Tempo Ordinario (3.00 e 10.20)

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Journal of Applied Mathematics and Physics 2023年第8期11卷 2267-2308页

作者： corrado Giannantoni Ente Nazionale per le Energie Alternative Rome Italy

The present paper aims at showing the possible adoption in Psychiatry of a general methodology finalized to prescribe the most appropriate Therapy based on the knowledge of its correlative effects in advance, instead of recognizing them ex post. The specific case here considered is the “bipolar disorder”, in which the adoption of three different drugs is the most common practice, although with a possible differentiation between the prescription in the morning and in the evening, respectively. Thus, the proposed methodology will consider the Ordinal Interactions between the various drugs by evaluating their combined effects, which will result as being not a simple additive “sum”, because they are evaluated on the basis of the Maximum Ordinality Principle (MOP) and, in addition, in Adherence to the Explicit Solution to the “Three-Body Problem”. In this way the Methodology here proposed is able to suggest how to account for the synergistic effects of the various drugs, especially when the latter are characterized by different concentrations and, at the same time, by generally different half-lives respectively.

关键词： Three-Drug Therapies Bipolar Disorder Psychiatric Therapies Maximum Ordinality Principle (MOP) “Three-Body Problem”

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On “Over-Sized” High-Gain Practical Observers for Nonlinear Systems

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IEEE/CAA Journal of Automatica Sinica 2018年第3期5卷 691-698页

作者： Daniele Carnevale corrado Possieri Antonio Tornambè Dipartimento di Ingegneria Civile e Ingegneria Informatica Universita di Roma Tor Vergata

In this paper,it is shown that the performances of a class of high-gain practical observers can be improved by estimating the time derivatives of the output up to an order that is greater than the dimension of the system, which is assumed to be in observability form and, possibly, time-varying. Such an improvement is achieved without increasing the gain of the observers, thus allowing their use in a wide variety of control and identification applications.

关键词： Filtering properties nonlinear systems observability observer design

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