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  • 650pp. Published September 2015
  • Scientific Research Publishing Inc.,USA
  • Category: Physics & Mathematics
  • ISBN: 978-1-61896-138-9
  • (Hardcover) USD 159.00
  • ISBN: 978-1-61896-101-3
  • (Paperback) USD 129.00
  • ISBN: 978-1-61896-102-0
  • (E-Book) USD 39.00

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Prolegomena to the Complete Physical and Mathematical Theory of Rational Human Intelligence in Boolean, Lagrangian, and Maxwellian Mode
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Book description:

Rational human intelligence has preoccupied the author since the late 1990s, when he became acquainted with G. Boole’s Laws of Thought. But for a long while, it was not clear to him what he was doing: Cognitive Science? Linguistics? Logic? Philosophy? G. Boole seems to have thought that he was doing mathematics. Then, in late 2012, it became evident that the theory of rational human intelligence is a theory of physics with its own mathematics. Much is owed to J. C. Maxwell in reaching this conclusion. Later, in the summer of 2014, it became apparent that all of rational human intelligence developed in the brain by exploitation of a single physical principle. J.-L. Lagrange likewise derives all of the physics of mass and motion from a single principle. Meanwhile, the author’s study of rational human intelligence had branched out into mathematics. When SCIRP proposed to publish the resulting mathematical articles together as a book, it seemed opportune to take stock of where the whole effort is at by describing the developments of 2012 and 2014 in the book’s front matter and outline the five digitalities making up rational human intelligence: Contrast Digitality, Selection Digitality, Nexus Digitality, Certification Digitality, and Supplement Digitality. Rational human intelligence is the common platform on which all rational minds meet. When one walks up to another human being speaking the same language, one expects to be understood. And that in spite of all kinds of differences in terms of other types of intelligence, such as emotional intelligence, kinetic intelligence, musical intelligence, and so on. And also in spite of differences in terms of knowledge. Rational human intelligence is the same in all people. That is why it is mathematical. It is a kind of operating system. It is now generally assumed that G. Boole tried to explain how we think rationally and failed. The position taken here differs radically. He took us much of the way there. His theory would have been worth not one, but two, Nobel prizes in physics. Just as I. Newton described the motions of celestial bodies in the universe, G. Boole described the motions of rational-thought-and-language in the brain, the most complex structure in the universe.


About the Front Cover (click here for front cover)

The Greek text is attributed to Heraclitus and translates as “War is the father of all,” “war” meaning more or less the contrast between opposites, between what something is and what it is not. The five persons depicted are Anaximander (top left), Heraclitus (top right), James Clerk Maxwell (bottom left), Joseph-Louis Lagrange (bottom right), and George Boole (center). Their selection is clarified in the front matter and elsewhere in this book. Evidently, it is not really known what Anaximander or Heraclitus looked like. In the background, as texture, is a view of the ruins of ancient Milete, now in western Turkey, Anaximander’s hometown, generally regarded as the birthplace of Western philosophy.The following three images were acquired from www.shutterstock.com under the “Standard License” agreement: 1) Image ID No. 226881742 (“Greek Amphitheater in Miletus City with Honorary Seats and Columns”); 2) No. 88369543 (Maxwell); 3) No. 81841846 (Lagrange). The statement from Chapter 11 of Lao Tzu’s Tao Te Ching means, more or less, “We work with being but non-being is what we use.”
About the Back Cover (click here for back cover)

In the background is a view of the ruins of ancient Ephesus, now in western Turkey, Heraclitus’s hometown. The image was acquired from www.shutterstock.com under the “Standard License” agreement. It is No. 259978859 (“Theater and Arcadian Street (Harbor Street), Ephesus”).

Components of the Book:
  • FRONT MATTER
    • half-title page
    • title page
    • copyright page
    • dedication page
    • elucidations of the cover and dedication page designs
  • Contents
  • A Retrospective
    • 1.Design(s) of the Present Book
    • 2.List of Earlier Efforts, since about 1998
    • 3.George Boole and Rational Human Intelligence
    • 4.Rational Human Intelligence as a Theory of Physics, Like the Theory of the Physics of Matter and Motion, but with a Different
    • 5.Neurons and Rational Human Intelligence
    • 6.What Is Rational Human Intelligence?
    • 7.Rational Human Intelligence, What Is It Not? Four Differences with Other Types of Human Intelligence
    • 8.Rational Human Intelligence Relates to Other Types of Human Intelligence Involving Language as the Physics of Motion Does to t
    • 9.Turning Matters on Their Head: From Language Back to the Brain rather than the Other Way Around
    • 10.What Is Lagrangian and Maxwellian in the Physical and Mathematical Theory of Rational Human Intelligence
    • 11.A Concluding Note Regarding the Relation between Calculus and the Theory of Rational Human Intelligence
    • 12.Some Remarks on Open Access Publishing
    • 13.References
  • Preface
    • 1.Statement of Purpose
    • 2.Rational Human Intelligence: The Universally Shared Platform of Human Intelligence
    • 3.Theories of Physics as Constructs or Properties of the Brain
    • 4.Physical Reality, That Is, Physical Bodies or Mass, as the Referent of the Theory of the Physics of Matter and Motion
    • 5.(Quantities of) Mass Positioned in (Quantities of) Space and (Quantities of) Time as the Referent of the Physics of Matter and
    • 6.Excursus: Pre-Modern Notions of Mass Positioned in Space and Time as the Referent of the Physics of Matter and Motion
    • 7.J.-L. Lagrange’s Derivation of the Theory of Physics of Matter and Motion or Mass and Motion or Mechanics from a Single Princ
    • 8.The Physics of Rational Human Intelligence as a Referent to Mass
    • 9.The Specific Referent of the Physics of Rational Human Intelligence: The Form or Shape or Appearance of Physical Bodies or Mas
    • 10.The Fundamental Characteristic of Physical Reality Lying at the Origin of the Single Theoretical Principle from Which All of
    • 11.There Is No Rational Human Intelligence outside Language
    • 12.How Does the Brain Store Reflections of Physical Reality in Terms of Rational Human Intelligence and Therefore in Terms of La
    • 13.First Basic Biochemical Imprint Presumably Stored by a Cluster of Neurons: Image
    • 14.Second Basic Biochemical Imprint Presumably Stored by a Cluster of Neurons: Sound Pattern
    • 15.Biochemical Imprints Associated with the Basic Biochemical Imprint of the Sound Pattern
    • 16.Third Basic Biochemical Imprint Presumably Stored by a Cluster of Neurons: The Link between the Imprint of the Image and the
    • 17.The Combination of the Three Basic Biochemical Imprints, F. de Saussure’s “Sign”, or the Attribute, as the Fundamental Com
    • 18.Attribute and Quantity in the Framework of Theories of Physics
    • 19.The Attributes of Rational Human Intelligence: Inextricably Connected to Mass as Part of Their “Extensive” Interpretation
    • 20.Comparing Quantity to Attributes as Foci of Theories of Physics
    • 21.Relation between the Physics of Matter and Motion and the Physics of Rational Human Intelligence
    • 22.The Shared Interpretation of the Notation of the Theory of Rational Human Intelligence and the Theory of Matter and Motion as
    • 23.The Link between Image and Sound Pattern: At Once Arbitrary and Mandatory
    • 24.The Fundamental Principle inside the Brain from Which the Entire Theory of Rational Human Intelligence Is Derived
    • 25.An Observation on Said Fundamental Principle and the Evolution of Mankind and of Human Intelligence
    • 26.Contrast Digitality (ConDi)
    • 27.Selection Digitality (SelDi)
    • 28.Nexus Digitality
    • 29.Beyond G. Boole: Certification Digitality
    • 30.Beyond G. Boole: Supplement Digitality or Digitality to the Surface
    • 31.The Earliest Significant Scientific Awareness of the Single Principle from Which All of Rational Human Intelligence Is Derive
    • 32.References
  • Chapter Abstracts
    • 1.Original Abstract of Chapter One as an Article
    • 2.Original Abstract of Chapter Two as an Article
    • 3.Original Abstract of Chapter Three as an Article
    • 4.Original Abstract of Chapter Four as an Article
    • 5.Original Abstract of Chapter Five as an Article
  • Chapter Acknowledgments
    • 1.Accompanying the Article Republished as Chapter One
    • 2.Accompanying the Article Republished as Chapter Two
    • 3.Accompanying the Article Republished as Chapter Three
    • 4.Accompanying the Article Republished as Chapter Four
    • 5.Accompanying the Article Republished as Chapter Five
  • Book Acknowledgments
    • Book Acknowledgments
  • Chapter One: The Monty Hall Problem and Beyond: Digital-Mathematical and Cognitive Analysis in Boole’s Algebra, Including an Extension and Generalization to Related Cases
    • 1.Introduction
    • 2.Preliminary Considerations and Reflections on Digitality and Cognition
    • 3.Two Goats and a Car: Digital-Mathematical Analysis of the Monty Hall Problem
    • 4.Extension and Generalization of the Monty Hall Problem to Any Number of Doors (d), Cars (c), and Opened Doors (o)
    • 5.Extension and Generalization of the Monty Hall Problem to Any Number of Picked Doors (p)
    • 6.Conclusion
    • 7.References
  • Chapter Two : Higher Variations of the Monty Hall Problem (3.0, 4.0) and Empirical Definition of the Phenomenon of Mathematics, in Boole’s Footsteps, as Something the Brain Does
    With a contribution by Richard D. Gill
    • 1.Introduction
    • 2.Monty Hall 1.0: The Original Monty Hall Problem, Featuring 1 Car (c), 3 Doors (d), 1 Opened Door (o), 1 Door Initially Picked
    • 3.Monty Hall 2.0: Generalization to Any Number of Doors (d), Cars (c), and Opened Doors (o)
    • 4.Monty Hall 3.0: Additional Generalization to Any Number of Doors Picked Initially (p) or of Doors Picked by Switching (q)
    • 5.General Observations on Other Desired Outcomes in Monty Hall 3.0
    • 6.Monty Hall 3.1: Some Reflections on Evaluating whether Chances of Success Increase or Decrease in Monty Hall 3.0
    • 7.Monty Hall 4.0: Additional Generalization to Any Number of Switches of Doors (s)
    • 8.Back to Boole. By Richard D. Gill
    • 9.Empirical Definition of Mathematics, in Boole’s Footsteps, as a Cognitive Event on the Deepest Level
    • 10.References
  • Chapter Three : To Comma or Not to Comma: The Mathematics of the Relative Clause, All Types, via Boole and Venn
    • 1.The Relative Clause and All Its Types: A Digital Analysis and Deductive Approach
    • 2.Coptic and English as Case Languages
    • 3.To Comma or Not to Comma
    • 4.First Two of the Three Types of Relative Clauses: “Restrictive” and “Explicative”
    • 5.Boolean Algebra
    • 6.Examples of “Restrictive” and “Explicative” Relative Clauses in Coptic and in English
    • 7.The Third Type of Relative Clause
    • 8.Digital Definition of All Three Types of Relative Clauses
    • 9.Metaphor Illustrating the Differences in Information Conveyed by the Three Types of Relative Clauses: Three Bars and Two Wines
    • 10.Diagrams Denoting the Differences in Information Content Conveyed by the Three Types of Relative Clauses
    • 11.Distinctive Linguistic Markers of the Three Types
    • 12.Other Aspects of Relative Clauses
    • 13.The Role of Negation in Rational Thought and Language
    • 14.How the Mind Seizes Control of Reality in Digital Fashion
    • 15.Scope of the Present Paper: A Single Mathematical Theorem
    • 16.References
  • Chapter Four : The Mathematical and Physical Theory of Rational Human Intelligence: Complete Empirical-Digital Properties; Full Electrochemical-Mechanical Model (Part I: Mathematical Foundations)
    • 1.Introduction
    • 2.General Characterization of the Theory of Rational Human Intelligence asa Scientific Theory: A Theory of Physics with a Domina
    • 3.The Theory of Rational Human Intelligence as a Black Box Theory
    • 4.The Theory of Rational Human Intelligence as a Complete Theory
    • 5.Quantity and Units in the Physics of Matter and Motion
    • 6.Absence of Quantity and Presence of Attributivity in the Physics of Rational Human Intelligence
    • 7.The Attribute as the Fundamental Component of the Physics of Rational Human Intelligence
    • 8.Attributes and Attribute Sets or Classes
    • 9.The “Extensive” Function of Attributes
    • 10.“Digital Mathematics” as a Name for Attribute Mathematics
    • 11.The Four Flavors of the Digitality of Rational Human Intelligence
    • 12.Rational Intelligence and Rational Knowledge
    • 13.The Reflexivity of Rational Human Intelligence
    • 14.Syllogisms as a Component of Digital Mathematics
    • 15.The Mathematical Analysis of All Philosophers Are Logical, an Illogical ManIs Always Obstinate and Therefore: Some Obstinate
    • 16.Generalization of the Syllogism by Means of a Computer Algorithm
    • 17.Conflation of Two Types of Digital Mathematics in G. Boole’s Algebra
    • 18.Mathematics as Something the Brain Does
    • 19.On G. Boole’s Use of “Squaring”
    • 20.An Alternative to G. Boole’s “Squaring”: Multiplication by Supplements
    • 21.Examples of Multiplication by Supplements
    • 22.Critique of E. Schr?der’s Alternative to G. Boole’s by Means of a Strictly Digital Example
    • 23.G. Boole’s
    • 24.The Confusing Treatment of the Indefinite Symbols v and in G. Boole’s Works
    • 25.On the Multiplication of Coefficients
    • 26.The Theory of Rational Human Intelligence as a Black Box Theory
    • 27.References
  • Chapter Five : The Prime Sequence: Demonstrably Highly Organized While Opaque and Incomputable (with Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence)
    • 1.Preamble
    • 2.Back to Euclid: Viewing Numbers Geometrically
    • 3.L. Euler’s Infinite Prime Product Equation
    • 4.The Riemann Hypothesis
    • 5.A Geometric Interpretation of the Prime Sequence in Euclidean Fashion
    • 6.Four Past Approaches or Attitudes to the Prime Sequence
    • 7.A New, Fifth, Approach to the Prime Sequence
    • 8.Highly Organized Patterns Exhibited by the Prime Sequence
    • 9.Inaccessibility to Human Cognition of the Prime Sequence’s Highly Organized Patterns
    • 10.Potential Objection to Assuming that the Prime Sequence Is at the Same Time Opaque and Highly Organized
    • 11.A Mathematical “Poem” Involving the Prime, Non-Prime, Uneven Number, and Even Number Sequences, and Its Relation to the Rie
    • 12.How the Mathematical “Poem” Is Obtained
    • 13.Variations Related to the Mathematical “Poem”
    • 14.Is the Prime Sequence Special?
    • 15.Aristotle and the Limits of Rational Human Intelligence
    • 16.Partition, the Primes, and the Prime Sequence
    • 17.Goldbach’s Conjecture and the Sequence of the Primes
    • 18.Euclid, the Primes, and the Prime Sequence
    • 19.Euclid’s Fifth Postulate and the Sequence of the Primes
    • 20.Excursus: The Origin of Wilson’s Theorem
    • 21.Toward New Paradigms of Western Civilization
    • 22.References
  • Conclusion
    • Conclusion
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