Complete Table of Contents
of the Whole Website of Jaap Bax
e-mail : lovelace@hetnet.nl
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Introduction
The present website consists of several main parts accessible by particular links.
The First Part -- which contains the Homepage -- is about the ontological constitution of intrinsic things, i.e. it is about the necessary 'constituents' -- which are themselves not things -- that constitute something into a real, self-contained thing, especially (it is about) the thing's kernel that determines the very what-is-it of the thing, the thing's ESSENCE.
All this belongs to the science of Ontology or the Metaphysics of Being.
In this First Part of the website is was found out that (the) ESSENCE (of a thing or being) can be equated with the dynamical law of the dynamical system that generated that given thing.
ESSENCE is strongly tied up with INDIVIDUALITY, so the latter is investigated, making use of important medieval texts about that subject.
While ESSENCE, and thus the dynamical law, has a more or less implicit way of being, and so constitutes the 'genotypic domain' of the thing, its effects are explicit, and constitute the 'phenotypic domain' of the thing.
One of these effects (of the relevant dynamical law) is (material) STRUCTURE (another is behavior).
And it is STRUCTURE to which the rest of the First Part of the website and the whole of the Second Part is devoted, i.e. to the material structure of things having their cause of their what-is-it within them : intrinsic things. The main representatives of such things are crystals and organisms. And because a main aspect of STRUCTURE is SYMMETRY, the mentioned remainder of the First Part and the whole Second Part of the website investigate the symmetry of organisms and the symmetry of crystals, and set out to establish a general Theory of Structure.
The symmetry of Crystals is studied in the Series on Crystallography (Crystal Systems, Crystal Classes, Internal Structure, etc. First and Second Part of Website), while the symmetry of Organisms is studied in the Series concerning the Promorphological System of Basic Forms (The ideal stereometric basic forms of organisms, Second Part of Website).
In order to understand real crystals and their general structural principles, their two-dimensional counterparts (imaginary 2-dimensional crystals) are studied extensively, revealing much of the mentioned structural principles.
To study SYMMETRY more deeply, an introduction to Group Theory is given. It focusses on symmetry groups, especially those describing the symmetry of plane ornaments, which can be thought of as the mentioned two-dimensional crystals. Discussed are Point Groups (realized in 2- and 3-dimensional Crystals and in Organisms, generally in 2- and 3-dimensional Rosettes), Line Groups (realized as Friezes or Strip Patterns), Plane Groups (realized in Plane Ornaments or 2-dimensional Crystals and in layers of 3-dimensional Crystals) and Space Groups (realized in 3-dimensional Crystals). In addition to isometric symmetry groups, we discuss similarity symmetry groups and conformal symmetry groups, and of all these we discuss antisymmetry and colored symmetry groups that can be derived from them. All this is being applied to the structure of real crystals and organisms. This introduction to Group Theory, its application to the study of symmetry, and its ontological status, are discussed in the Second Part of the Website (Not all of it is yet completed).
While the First and Second Parts of the Website philosophically show a more or less reductionistic attitude, in the Third Part of the Website a holistic world view is investigated. It is investigated whether all things are -- in a sense -- already there, abeit in a wholly implicit way, and unfold into the 'explicate' domain of concrete existence along certain definite lines.
In the Fourth Part of the website the reader will find a general Ontology (general theory of Being).
While in the First and Second Parts of the website the individual being as such was taken as point of departure (theory of beings), resulting in the study of dynamical systems that generate such beings, and in the ontological evaluation of the dynamical law according to which such a system goes its business, etc. etc., in the Fourth Part of Website we investigate the World as it is divided into several complexity layers. The higher layers are the result of a jumpy increase in complexity and come to lie on top of the previous layer, resulting in a system of layers. Within this system we looked for principles that determine qualitative contents that can be found within the sequence of layers. Such principles are called categories. They determine in a supra-individual way, i.e. their determination is general, involving many individual beings at once, or even all of them (It is thus a theory of Being, not of beings). Within this approach the individual beings are (themselves also) layered, i.e. the mentioned complexity layers cut across all or many of those beings, resulting for example in the fact that an individual human being is himself a layered being, consisting of four complexity layers, while, say, an individual oak tree consists of only three complexity layers. The ontological significance of the layers and the categories is investigated. The resulting ontology fits in pretty well with the ontology of the philosopher Nicolai HARTMANN.
We'll now give a complete overview of the whole website (as far as it is finished). All the entries presented are given as LINKS in the left frame associated with the relevant Part of Website, and also in the TABLE OF CONTENTS of the first page of each Part of Website.
Complete Table of Contents of the Whole Website
First Part of Website
Non-Classical Series of documents
- The Philosophy of Being (Homepage)
- General Considerations
- Introduction and Overview
- Status Quaestionis (Formulation and Definition of the Problem)
- The Uniform Thing (Discussion of intrinsic Beings -- Totalities -- versus extrinsic Beings)
- Realistic View of Knowledge
- Substance and Accident
- Revised Ontology of Determinations I.
- Revised Ontology of Determinations II.
- Revised Ontology of Determinations III.
- Reductionism versus Holism
- The Universal
- Metaphysics and Dynamical Systems
- Cellular Automata
- Random Boolean Networks
- L-systems
- The Mixtum and its Elements
- Principle of Individuation
- The Chemical Bond
- Crystals and Metaphysics
- Non-living Dissipative Systems
- Organisms I
- Organisms II
- Organisms III
- Organisms IV
- Digital Computer I
- Digital Computer II
- Metaphysics of Artificial Life
- A supplementary approach : Mereotopology of Reality
- Metaphysics and Quantum Mechanics
Classical Series of documents
- Introduction to the Classical Theory of Being
- Criteria for to be a Substance
- What is an Individuum? I
- What is an Individuum? II
- What is an Individuum? III
- What is a Totality?
- Essence in the Thomistic View
- Essence and Universal in the Thomistic View
- The Analogy of Being
- Medium-independency
- In what way do the Elements exist in the Mixtum?
Critical Series of documents
- Introduction to the Critical Series
- The Substance-Accident Metaphysics and the Totally Dynamic World
- The Substance-Accident Metaphysics and the Theory of Knowledge
- The Species-Individuum Structure
- The Mind-Body Problem
- Historical Individuum, Here-and-Now Individuum
- The Nominalistic Critique
- The Distinction between Substance, Essence, Genuine Property and State
- Structural Levels
Special Series of documents
- The Structure of Crystals Revisited
- The Morphology of Crystals
- Derivation of Crystal Classes I
- Derivation of Crystal Classes II
- Derivation of Crystal Classes III
- Derivation of Crystal Classes IV
- Derivation of Crystal Classes V
- Derivation of Crystal Classes VI
- Isometric Crystal System
- Tetragonal Crystal System I, Class 4/m 2/m 2/m
- Tetragonal Crystal System II, Class 4mm
- Tetragonal Crystal System III, Class 4*2m
- Tetragonal Crystal System IV, Class 4/m
- Tetragonal Crystal System V, Class 4
- Tetragonal Crystal System VI, Class 422
- Tetragonal Crystal System VII, Class 4*
- Hexagonal Crystal System I, Class 6/m 2/m 2/m
- Hexagonal Crystal System II, Class 6mm
- Hexagonal Crystal System III, Class 6/m
- Hexagonal Crystal System IV, Class 6
- Hexagonal Crystal System V, Class 622
- Hexagonal Crystal System VI, Class 3* 2/m
- Hexagonal Crystal System VII, Class 3*
- Hexagonal Crystal System VIII, Class 6* m2
- Hexagonal Crystal System IX, Class 3m
- Hexagonal Crystal System X, Class 6*
- Hexagonal Crystal System XI, Class 3
- Hexagonal Crystal System XII, Class 32
- Orthorhombic Crystal System I , Class 2/m 2/m 2/m
- Orthorhombic Crystal System II, Class mm2
- Orthorhombic Crystal System III , Class 222
- Monoclinic Crystal System I , Class 2/m
- Monoclinic Crystal System II , Class 2
- Monoclinic Crystal System III , Class m
- Triclinic Crystal System I , Class 1*
- Triclinic Crystal System II , Class 1
- Internal Structure of Crystals I, The five fundamental 2-D Lattice Types
- Internal Structure of Crystals II, 2-D Periodic Patterns, P2, P1, P4mm, P4gm, P4
- Internal Structure of Crystals III, 2-D Periodic Patterns, P2mm, P2mg, P2gg
- Internal Structure of Crystals IV, 2-D Periodic Patterns, C2mm, Pm, Pg, Cm
- Internal Structure of Crystals V, 2-D Periodic Patterns, P6mm, P6, P3m1
- Internal Structure of Crystals VI, 2-D Periodic Patterns, P31m, P3
- Internal Structure of Crystals VII, Summary of the 17 2-D Periodic Patterns
- Internal Structure of Crystals VIII, 2-D Crystals : Development of faces in P2
- Internal Structure of Crystals IX, 2-D Crystals : Development of faces in P1, Pm
- Internal Structure of Crystals X, 2-D Crystals : Development of faces in Pg, Pm, Cm
- Internal Structure of Crystals XI, 2-D Crystals : Development of faces in P2mm, P2gg
- Internal Structure of Crystals XII, 2-D Crystals : Development of faces in P2mg, C2mm
- Internal Structure of Crystals XIII, 2-D Crystals : Development of faces in P4, P4mm
- Internal Structure of Crystals XIV, 2-D Crystals : Development of faces in P4gm
- Internal Structure of Crystals XV, 2-D Crystals : Development of faces in P3
- Internal Structure of Crystals XVI, 2-D Crystals : Development of faces in P3 (sequel)
- Internal Structure of Crystals XVII, 2-D Crystals : Development of faces in P3m1
- Internal Structure of Crystals XVIII, 2-D Crystals : Development of faces in P31m
- Internal Structure of Crystals XIX, 2-D Crystals : Development of faces in P6
- Internal Structure of Crystals XX, 2-D Crystals : Development of faces in P6mm
- Continuation of this Series (Special Series) ( LINK to Second Part of Website)
- Holistic World View, a Holistic Philosophy as an alternative world view (LINK to Third Part of Website).
Second Part of Website
Continuation of the Special Series of documents
- Philosophy of Being (LINK to First Part of Website [Homepage] )
- Retrospect and Continuation
(Prelude to the) Symmetry of three-dimensional Crystals : Group Theory (Second Part of Website)
- The Total Symmetry of 3-dimensional Crystals Part I, Matrices
- The Total Symmetry of 3-dimensional Crystals Part II, Group Theory, C12, D2, Automorphism
- The Total Symmetry of 3-dimensional Crystals Part III, Group Theory, C6, D3, D6, inner Automorphism
- The Total Symmetry of 3-dimensional Crystals Part IV, Group Theory, C6, C3, C4, C2, C1, C7, Automorphism
- The Total Symmetry of 3-dimensional Crystals Part V, Group Theory, C12, Cosets, Homomorphism
- The Total Symmetry of 3-dimensional Crystals Part VI, Group Theory, C12, Cosets, Homomorphism (Sequel)
- The Total Symmetry of 3-dimensional Crystals Part VII, Group Theory, Cinfinite, D3, Homomorphism, D6, C2, D2
- The Total Symmetry of 3-dimensional Crystals Part VIII, Group Theory, D6, Homomorphy Theory, D4, D5, Dinfinite
- The Total Symmetry of 3-dimensional Crystals Part IX, Group Theory, C4xC3, C6xC2, C2xC2 = D2, D3xC2
- The Total Symmetry of 3-dimensional Crystals Part X, Group Theory, C4xC2 = C4i, C2xC2xC2 = D2xC2, Automorphisms
- The Total Symmetry of 3-dimensional Crystals Part XI, Group Theory, CinfinitexCinfinite , CinfinitexC2 , Dinfinite , Cinfinite , even/odd Permutations
- The Total Symmetry of 3-dimensional Crystals Part XII, Group Theory, Relevance of Group Theory, Classification of Simple Groups, Symmetry Groups, Indirect Product D4 = C2semiC4
- The Total Symmetry of 3-dimensional Crystals Part XIII, Group Theory, Sequel to Symmetry Groups : A4, S4 = O, S4xC2 = Oi, A5, A5xC2
- The Total Symmetry of 3-dimensional Crystals Part XIV, Group Theory, Cosets, D6, Q6
- The Total Symmetry of 3-dimensional Crystals Part XV, Group Theory, Conjugation, Normal Subgroups, D4, A4, Center, Centralizer
- The Total Symmetry of 3-dimensional Crystals Part XVI, Group Theory, Homomorphism, Quotient Groups, Normal Subgroups, D3, D4, A4, Cinfinite , C5, C4
- The Total Symmetry of 3-dimensional Crystals Part XVII, Group Theory, Automorphism, D4
- The Total Symmetry of 3-dimensional Crystals Part XVIII, Group Theory, Automorphism, D3, C12, C6xC2, Q4
- The Total Symmetry of 3-dimensional Crystals Part XIX, Group Theory, Automorphism, Q4, Q6, S4
- The Total Symmetry of 3-dimensional Crystals Part XX, Group Theory, Periodic 2-D patterns, P4mm
- The Total Symmetry of 3-dimensional Crystals Part XXI, Group Theory, Periodic 2-D patterns, P1, P2, P3, P4
- The Total Symmetry of 3-dimensional Crystals Part XXII, Group Theory, Periodic 2-D patterns, P6, Pm, Pg, P2mm, P2gg, P2mg
- The Total Symmetry of 3-dimensional Crystals Part XXIII, Group Theory, Periodic 2-D patterns, Cm, C2mm, P4gm, P6mm
- The Total Symmetry of 3-dimensional Crystals Part XXIV, Group Theory, Periodic 2-D patterns, P31m, P3m1
- Sequel to Group Theory, Two-dimensional Patterns. LINK to the continuation of Group Theory. When we follow up this LINK we get the following :
Continuation of the Special Series of documents (Second Part of Website)
Sequel to Group Theory : Symmetry of Two-dimensional Patterns (Second Part of Website)
- Subpatterns and Subgroups in 2-dimensional space, Part I, Introduction
- Subpatterns and Subgroups in 2-dimensional space, Part II, Antisymmetry Groups, Color Symmetry Groups
- Subpatterns and Subgroups in 2-dimensional space, Part III, Friezes, p11, p1g, pm1, p12
- Subpatterns and Subgroups in 2-dimensional space, Part IV, Friezes (continued), pmg, p1m, pmm
- Subpatterns and Subgroups in 2-dimensional space, Part V, Ontology of Symmetry Groups, Antisymmetry in Friezes, p11/p11, p12/p12, p12/p11, p1m/p1m, p1m/p11, p1m/p1g, pm1/pm1, pm1/p11, pmg/pm1
- Subpatterns and Subgroups in 2-dimensional space, Part VI, Antisymmetry in Friezes, pmg/p1g, pmg/p12, pmm/pmm, pmm/pm1, pmm/pmg
- Subpatterns and Subgroups in 2-dimensional space, Part VII, Motifs s.str. in Ornaments, Introduction, Difference between P31m and P3m1
- Subpatterns and Subgroups in 2-dimensional space, Part VIII, Motifs s.str. in Ornaments (sequel), P1, P2, Pm, Pg, P2mm, P2mg, P2gg
- Subpatterns and Subgroups in 2-dimensional space, Part IX, Motifs s.str. in Ornaments (sequel), Cm, C2mm, P4, P4mm, P4gm
- Subpatterns and Subgroups in 2-dimensional space, Part X, Motifs s.str. in Ornaments (sequel), P3, P31m, P3m1, P6, P6mm
- Subpatterns and Subgroups in 2-dimensional space, Part XI, Antisymmetry in Ornaments, P1, P2
- Subpatterns and Subgroups in 2-dimensional space, Part XII, Antisymmetry in Ornaments, Pm
- Subpatterns and Subgroups in 2-dimensional space, Part XIII, Antisymmetry in Ornaments, Pm,
- . . . . Series will be continued, and finally concluded with the symmetry theory of three-dimensional crystals . . .
- Back to 3-dimensional Crystals (conclusion), Organic Tectology and Promorphology. When following up this LINK we get the following (Still on Second Part of website) :
Continuation of the Special Series of documents
- Philosophy of Being (LINK to First Part of Website [Homepage] )
- Retrospect and Continuation
One should now directly scroll the left frame past
SEQUEL TO GROUP THEORY, two-dimensional patterns,
up to
Actual Structure and Growth of Three-dimensional Crystals
- The Chemical Lattice Types of Three-dimensional Crystals (not yet completed)
- The Shapes of Three-dimensional Crystals (not yet completed)
- The Thermodynamics of Crystal Growth (not yet completed)
- Twin Crystals (not yet completed)
Tectology Series (General Theory of the structure of Organisms)
- Introduction to Tectology
- Tectology : Morphological Individuality. Cells, Organs, Antimers
- Tectology : Morphological Individuality. Metamers
- Tectology : Morphological Individuality. Persons, Colonies
- Tectology : Physiological Individuality. Cells, Organs, Antimers
- Tectology : Physiological Individuality. Metamers, Persons, Colonies
Basic Forms
Promorphological System ( System of the Ideal Stereometric Basic Forms of Organisms [and extended to Crystals as well ] )
- Introduction to Promorphology
- Anaxonia, Homaxonia, Polyaxonia
- Protaxonia, Monaxonia
- Stauraxonia homopola
- Homopola sigmostaura
- Stauraxonia heteropola : Homostaura isopola
- Homostaura anisopola, Heterostaura
- Autopola oxystaura, Autopola orthostaura
- Allopola
- Allopola amphipleura
- Heteropola gyrostaura
- Protaxonia spiraxonia
- Spiraxonia allogonia
- Spiraxonia isogonia. Concluding Remarks on Promorphology
Basic Forms of the Six Individuality Orders
- Basic Forms of Cells I
- Basic Forms of Cells II
- Basic Forms of Organs
- Basic Forms of Antimers
- Basic Forms of Metamers
- Basic Forms of Persons
- Basic Forms of Colonies
Basic Forms of Crystals
- Promorphology of Crystals. Preparation I, P4gm
- Promorphology of Crystals. Preparation II, P4gm
- Promorphology of Crystals. Preparation III, P1, P2, Pm
- Promorphology of Crystals. Preparation IV, Pg
- Promorphology of Crystals. Preparation V, Cm, P2gg, P2mm, P2mg, C2mm
- Promorphology of Crystals. Preparation VI, P4gm
- Promorphology of Crystals. Preparation VII, P4mm, P4, P3
- Promorphology of Crystals. Preparation VIII, P3m1
- Promorphology of Crystals. Preparation IX, P3m1
- Promorphology of Crystals. Preparation X, P3m1
- Promorphology of Crystals. Preparation XI, P31m
- Promorphology of Crystals. Preparation XII, P31m
- Promorphology of Crystals. Preparation XIII, P31m
- Promorphology of Crystals. Preparation XIV, P31m
- Promorphology of Crystals. Preparation XV, P31m and P3m1
- Promorphology of Crystals. Preparation XVI, P6, P6mm
- Promorphology of Crystals. Preparation XVII, P6mm
- Elimination of glide translations I
- Elimination of glide translations II
- Preparation to a Promorphology of 3-D Crystals. Part I
- Preparation to a Promorphology of 3-D Crystals. Part II
- Preparation to a Promorphology of 3-D Crystals. Part III
- Preparation to a Promorphology of 3-D Crystals. Part IV
- Preparation to a Promorphology of 3-D Crystals. Part V
- Promorphology of Crystals I
- Promorphology of Crystals II
- Promorphology of Crystals III
-
Theses on Basic Forms
- Promorphological Theses and Tables
Third Part of Website
a HOLISTIC Philosophy as an Alternative World View ( LINK to Third Part of Website )
When one follows up this LINK, one gets :
Holistic Series of documents
Back to Philosophy of Being ( LINK to First Part of Website [Homepage] )
Back to Second Part of Website ( LINK to Second Part of Website)
- Retrospect and Continuation of the Philosophy Site of Jaap Bax (Introduction to the Theory of the Implicate Order)
- Model of enfolding and unfolding : The Ink-in-Glycerine Model
Crystals and the Implicate Order
- Part I : Introduction, The Group P4, General Theory of Holistic Crystallization
- Part II : The Groups P2, P1, Pm, Cm
- Part III : The Groups Pg, P2mm
- Part IV : The Group P2gg
- Part V : The Group P2mg
- Part VI : The Group C2mm
- Part VII : The Group P4mm
- Part VIII : The Group P4gm
- Part IX : The Group P4gm (sequel)
- Part X : The Group P4gm (sequel and conclusion)
- Part XI : The Group P3
- Part XII : The Group P3m1
- Part XIII : The Group P3m1 (sequel and conclusion)
- Part XIV : The Group P31m
- Part XV : The Group P31m (sequel and conclusion)
- Part XVI : The Group P6
- Part XVII : The Group P6mm
- Part XVIII : The Group P6mm (sequel and conclusion)
- Part XIX : Summary of the 17 Plane Groups
Further Development of the Theory of the Implicate Order
- Hidden Variables and the Sub-quantum Level (not yet completed)
What will eventually follow is an extensive comparison of the Theory of the Implicate Order with the neoplatonic metaphysics of PLOTINUS (third century), and maybe with the ontological theory of Nicolai HARTMANN.
Fourth Part of Website
General Ontology. ( LINK to Fourth Part of Website (General Ontology, a Theory of Metaphysical Layers) can be found in the left frame after LINK to Holistic philosophy)
When one follows up this LINK, one gets :
- General Ontology, a theory of ontological layers ( The Determined and the Determining), Contents.
- General Ontology (Cosmos and Nomos). Theory of Ontological Layers and Complexity Layers, Part I.
All this c o n c l u d e s our website (Four Parts) on the theory of Being and Essence, and the Structures of intrinsic things, structures caused by the dynamical law (plus initial conditions) of the dynamical system that has generated the given thing.
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e-mail : lovelace@hetnet.nl
After this window has been consulted, close it, and you're back where you were.