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1 Hacyan, Shahen The Mathematical Representation of Physical Reality I12670 2023 eBook  
2 Aguirre, Anthony Trick or Truth? I10112 2016 eBook  
3 Aguirre, Anthony Wandering Towards a Goal I09697 2018 eBook  
4 Lev, Felix Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory I09127 2020 eBook  
5 Wuppuluri, Shyam The Map and the Territory I09037 2018 eBook  
6 Romero, Gustavo E Scientific Philosophy I08875 2018 eBook  
7 Aguirre, Anthony What is Fundamental? I08771 2019 eBook  
8 Mugur-Sch??chter, Mioara Quantum Mechanics, Mathematics, Cognition and Action I10912 2002 eBook  
9 Kursunogammalu, Behram N Quantum Gravity, Generalized Theory of Gravitation, and Superstring Theory-Based Unification I10477 2002 eBook  
10 Pirner, Hans J The Unknown as an Engine for Science I08422 2015 eBook  
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TitleThe Mathematical Representation of Physical Reality
Author(s)Hacyan, Shahen
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIII, 155 p. 2 illus : online resource
Abstract NoteThis book deals with the rise of mathematics in physical sciences, beginning with Galileo and Newton and extending to the present day. The book is divided into two parts. The first part gives a brief history of how mathematics was introduced into physics???despite its "unreasonable effectiveness" as famously pointed out by a distinguished physicist???and the criticisms it received from earlier thinkers. The second part takes a more philosophical approach and is intended to shed some light on that mysterious effectiveness. For this purpose, the author reviews the debate between classical philosophers on the existence of innate ideas that allow us to understand the world and also the philosophically based arguments for and against the use of mathematics in physical sciences. In this context, Schopenhauer???s conceptions of causality and matter are very pertinent, and their validity is revisited in light of modern physics. The final question addressed is whether the effectiveness of mathematicscan be explained by its ???existence??? in an independent platonic realm, as G??del believed. The book aims at readers interested in the history and philosophy of physics. It is accessible to those with only a very basic (not professional) knowledge of physics
ISBN,Price9783031212543
Keyword(s)1. EBOOK - SPRINGER 2. History of Physics and Astronomy 3. MATHEMATICAL LOGIC 4. Mathematical Logic and Foundations 5. MATHEMATICS 6. Philosophical Foundations of Physics and Astronomy 7. PHILOSOPHY OF MATHEMATICS 8. PHYSICS
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2.     
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TitleTrick or Truth? : The Mysterious Connection Between Physics and Mathematics
Author(s)Aguirre, Anthony;Foster, Brendan;Merali, Zeeya
PublicationCham, Springer International Publishing, 2016.
DescriptionVIII, 250 p. 20 illus., 12 illus. in color : online resource
Abstract NoteThe prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition ???Trick or Truth???, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources
ISBN,Price9783319274959
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL LOGIC 6. Mathematical Logic and Foundations 7. MATHEMATICAL PHYSICS 8. Philosophy and science 9. PHILOSOPHY OF SCIENCE 10. PHYSICS
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TitleWandering Towards a Goal : How Can Mindless Mathematical Laws Give Rise to Aims and Intention?
Author(s)Aguirre, Anthony;Foster, Brendan;Merali, Zeeya
PublicationCham, Springer International Publishing, 2018.
DescriptionVIII, 254 p. 46 illus : online resource
Abstract NoteThis collection of prize-winning essays addresses the controversial question of how meaning and goals can emerge in a physical world governed by mathematical laws. What are the prerequisites for a system to have goals? What makes a physical process into a signal? Does eliminating the homunculus solve the problem? The three winning essays, by Larissa Albantakis, Carlo Rovelli and Jochen Szangolies tackle exactly these challenges, while many other aspects (agency, the role of the observer, causality versus teleology, ghosts in the machine etc.) put in an appearance in the other award winning contributions. These seventeen imaginative, stimulating and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition in 2017. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources
ISBN,Price9783319757261
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. History and Philosophical Foundations of Physics 7. MATHEMATICAL LOGIC 8. Mathematical Logic and Foundations 9. Philosophy and science 10. PHILOSOPHY OF SCIENCE 11. PHYSICS 12. STATISTICAL PHYSICS
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TitleFinite Mathematics as the Foundation of Classical Mathematics and Quantum Theory : With Applications to Gravity and Particle Theory
Author(s)Lev, Felix
PublicationCham, Springer International Publishing, 2020.
DescriptionXVII, 291 p. 4 illus., 1 illus. in color : online resource
Abstract NoteThis book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved
ISBN,Price9783030611019
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. History and Philosophical Foundations of Physics 6. MATHEMATICAL LOGIC 7. Mathematical Logic and Foundations 8. NUCLEAR PHYSICS 9. Particle and Nuclear Physics 10. PHYSICS 11. QUANTUM PHYSICS
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5.     
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TitleThe Map and the Territory : Exploring the Foundations of Science, Thought and Reality
Author(s)Wuppuluri, Shyam;Doria, Francisco Antonio
PublicationCham, Springer International Publishing, 2018.
DescriptionXXIII, 641 p. 28 illus : online resource
Abstract NoteThe Map/Territory distinction is a foundational part of the scientific method and, in fact, underlies all of thought, and even reality itself. This fascinating and fundamental topic is addressed here by some of the world???s leading thinkers and intellectual giants, whose accessible essays cover six and more fields of endeavor. It is imperative to distinguish the Map from the Territory when analyzing any subject, yet we often mistake the map for the territory; the meaning for the reference; a computational tool for what it computes. Representations are so handy and tempting that we often end up committing the category error of over-associating the representation with the thing it represents, so much so that the distinction between them is lost. This error, whose roots frequently lie in pedagogy, generates a plethora of paradoxes/confusions which hinder a proper understanding of the subject. What are wave functions? Fields? Forces? Numbers? Sets? Classes? Operators? Functions? Alphabets and Sentences? Are they a part of our map (theory/representation)? Or do they actually belong to the territory (reality)? A researcher, like a cartographer, clothes (or creates?) the reality by stitching together numerous co-existing maps. Is there a reality out there apart from these maps? How do these various maps interact or combine with each other to produce a coherent reality that we interact with? Or do they not? Does our brain use its own internal maps to facilitate the ???physicist/mathematician??? in us to construct, in turn, the maps about the external realm? If so, what is the nature of these internal maps? Are there meta-maps? Evolution definitely fences in our perception and thereby our ability to construct maps, revealing to us only those aspects beneficial for our survival. But to what extent? Is there a way out of this metaphorical Plato???s cave erected around us by the nature? Alfred Korzybski once remarked ???The Map is not the Territory???: Join us in this journey to explore the many questions, concepts and interpretations that this claim engenders.
ISBN,Price9783319724782
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. EPISTEMOLOGY 4. History and Philosophical Foundations of Physics 5. MATHEMATICAL LOGIC 6. Mathematical Logic and Foundations 7. Philosophical and Historical Foundations of Science 8. PHILOSOPHY 9. PHYSICS 10. Popular Science in Philosophy 11. Science???History 12. Science???Philosophy
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6.     
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TitleScientific Philosophy
Author(s)Romero, Gustavo E
PublicationCham, Springer International Publishing, 2018.
DescriptionXIX, 188 p. 8 illus : online resource
Abstract NoteThis book presents the basics of philosophy that are necessary for the student and researcher in science in order to better understand scientific work. The approach is not historical but formative: tools for semantical analysis, ontology of science, epistemology, and scientific ethics are presented in a formal and direct way. The book has two parts: one with the general theory and a second part with application to some problems such as the interpretation of quantum mechanics, the nature of mathematics, and the ontology of spacetime. The book addresses questions such as "What is meaning?", "What is truth?", "What are truth criteria in science?", "What is a theory?", "What is a model?" "What is a datum?", "What is information?", "What does it mean to understand something?", "What is space?", "What is time?", "How are these concepts articulated in science?" "What are values?" "What are the limits of science?", and many more. The philosophical views presented are "scientific" in the sense that they are informed by current science, they are relevant for scientific research, and the method adopted uses the hypothetical-deductive approach that is characteristic of science. The results and conclusions, as any scientific conclusion, are open to revision in the light of future advances. Hence, this philosophical approach opposes to dogmatic philosophy. Supported by end-of-chapter summaries and a list of special symbols used, the material will be of interest for students and researchers in both science and philosophy. The second part will appeal to physicists and mathematicians
ISBN,Price9783319976310
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. EPISTEMOLOGY 7. History and Philosophical Foundations of Physics 8. MATHEMATICAL LOGIC 9. Mathematical Logic and Foundations 10. PHYSICS 11. QUANTUM PHYSICS 12. RESEARCH ETHICS 13. Research???Moral and ethical aspects
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7.     
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TitleWhat is Fundamental?
Author(s)Aguirre, Anthony;Foster, Brendan;Merali, Zeeya
PublicationCham, Springer International Publishing, 2019.
DescriptionVIII, 187 p. 14 illus., 7 illus. in color : online resource
Abstract NoteAre there truly fundamental entities in nature? Or are the things that we regard as fundamental in our theories ??? for example space, time or the masses of elementary particles ??? merely awaiting a derivation from a new, yet to be discovered theory based on elements that are more fundamental? This was the central question posed in the 2018 FQXi essay competition, which drew more than 200 entries from professional physicists, philosophers, and other scholars. This volume presents enhanced versions of the fifteen award-winning essays, giving a spectrum of views and insights on this fascinating topic. From a prescription for ???when to stop digging??? to the case for strong emergence, the reader will find here a plethora of stimulating and challenging ideas - presented in a largely non-technical manner - on which to sharpen their understanding of the language of physics and even the nature of reality
ISBN,Price9783030113018
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. History and Philosophical Foundations of Physics 6. MATHEMATICAL LOGIC 7. Mathematical Logic and Foundations 8. Philosophy and science 9. PHILOSOPHY OF SCIENCE 10. PHYSICS 11. QUANTUM FIELD THEORY
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8.     
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TitleQuantum Mechanics, Mathematics, Cognition and Action : Proposals for a Formalized Epistemology
Author(s)Mugur-Sch??chter, Mioara;van der Merwe, Alwyn
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXVIII, 494 p : online resource
ISBN,Price9780306481444
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. COMPUTERS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL LOGIC 8. Mathematical Logic and Foundations 9. QUANTUM FIELD THEORY 10. QUANTUM PHYSICS 11. SYSTEM THEORY 12. Systems Theory, Control 13. Theory of Computation
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9.     
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TitleQuantum Gravity, Generalized Theory of Gravitation, and Superstring Theory-Based Unification
Author(s)Kursunogammalu, Behram N;Mintz, Stephan L;Perlmutter, Arnold
PublicationNew York, NY, Springer US, 2002.
DescriptionXXIV, 228 p : online resource
ISBN,Price9780306471049
Keyword(s)1. ASTROPHYSICS 2. Astrophysics and Astroparticles 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. GRAVITATION 7. Heavy ions 8. MATHEMATICAL LOGIC 9. Mathematical Logic and Foundations 10. MATHEMATICAL PHYSICS 11. NUCLEAR PHYSICS 12. Nuclear Physics, Heavy Ions, Hadrons 13. Theoretical, Mathematical and Computational Physics
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10.    
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TitleThe Unknown as an Engine for Science : An Essay on the Definite and the Indefinite
Author(s)Pirner, Hans J
PublicationCham, Springer International Publishing, 2015.
DescriptionXVII, 146 p. 23 illus : online resource
Abstract NoteThis book explores the limits of our knowledge. The author shows how uncertainty and indefiniteness not only define the borders confining our understanding, but how they feed into the process of discovery and help to push back these borders. Starting with physics the author collects examples from economics, neurophysiology, history, ecology and philosophy. The first part shows how information helps to reduce indefiniteness. Understanding rests on our ability to find the right context, in which we localize a problem as a point in a network of connections. New elements must be combined with the old parts of the existing complex knowledge system, in order to profit maximally from the information. An attempt is made to quantify the value of information by its ability to reduce indefiniteness. The second part explains how to handle indefiniteness with methods from fuzzy logic, decision theory, hermeneutics and semiotics. It is not sufficient that the new element appears in an experiment, one also has to find a theoretical reason for its existence. Indefiniteness becomes an engine of science, which gives rise to new ideas.

ISBN,Price9783319185095
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. MATHEMATICAL LOGIC 5. Mathematical Logic and Foundations 6. Philosophy and science 7. PHILOSOPHY OF SCIENCE 8. PHYSICS
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I08422     On Shelf    

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