Table of Contents

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p vi On `Springer Complexity’

 General use of `she’ for the third person singular pronoun 

Preface

p viia  This is a book of physics; 

 Feynman’s comment on physicists’ point of view

Number of formulas in the book

p viib  Two Comments on `Two Cultures’ (1)

 Math is nonverbal in its core! 

 Two Comments on `Two Cultures’ (II) (more serious comments) 

p viii  Is this book kind to the students?

Chapter 2 Conceptual Analysis

p36 Bohr and Wittgenstein?

To supply a tool of precise definition is an important function of a formal system (footnote 6)

p39 The great earthquake model of K. Ito’s

Periodic earthquakes in New Zealand

p40

p41 Demonstration of footnote 13

p44 On the Adler-Weiss linear torus map

p48 Additional note to Note 2.1.1 History of the study of chaotic systems 

p55 God’s reason that we cannot fathom

p56 Keynes’ ``Newton, the Man’’ (1946)

 On superstition

Isn’t ``Don’t be bound by dogmas’’ a dogma?

 Addition to Footnote 46 On paradigm and the viewpoint to emphasize discontinuity

 Additional comment on paradigm

p57  Cause of superstitions such as God

p58 von Neumann Extractor

p60  Since expelled from Japan

p62 Additional Discussion

p63  lim sup etc.

 Scrambled set, some additional explanation

 The relation to Sarkovskii’s theorem

 Feigenbaum’s critical point

 Another characterization of chaos

 Footnote 66 additional comment

 p64  Footnote 71 

We can understand the World by introspection and meditation alone (?)

p69 Professor Lee Rubel’s fundamental theorem of analogue computation (under construction)

 Professor Rubel’s letter: Proposal for a New Mathematical Society p70

p70 The danger of Medievalization

What is the Medieval Age?

 What is probability, supplement

p75  Axiomatic characterization of information

 Physical meaning of information

p78 Ergodicity is irrelevant to statistical mechanics, additional note

p79 Time-correlation function

p87 Footnote 119

p88 Shannon-McMillan-Breiman’s Theorem, a demo outline

p94 On statistical test of random number tables (additional comment)

p95 When compressible

p99 Computability of irrational numbers, etc.

Is computability relevant to physics?

p106  Brudno’s theorem can be sometimes practical.

p110  van Lambalgen’s axioms of randomness

p111 Edge of chaos and computational power

Logical depth (and significance of 16-ary expression of pi)

Chapter 3 Phenomenology

p121 What for has intelligence evolved?

Positive devolution

p122  “What is phenomenology?” An important additional comment

 “The world tolerates phenomenological understanding”

p123  Why are there common nouns?

 Footnote 7 Priority of essential intuitions comments

p124  Fluctuation and fluid dynamics footnote 11 addendum

 A recommended set of introduction to fluid dynamics

p125  Phase transition lecture notes

p126  The formula for the correlation function 

p127  Footnote 14 Staudinger and Heidegger addendum

 Introduction to polymer physics 

p129  History never repeats in the phase transition dynamics

p134  ‘most human beings are not different from dogs in this respect’

p137  Variational principles and forbidding principles

p138  Lambert and pi 

 ‘Phenomenology’

p140  Structural stability addendum 

 Footnote 47 Comments on the structural stability of chaos.

 Footnote 48 Functional analytical nature of the Navier-Stokes equation

p141  Natural history is much harder than physics

p142  No-renormalizable interactions

p145 On the validity of microscopic mechanics (footnote 57)

p153  Worked out examples of renormalization group

p157  Derivation of (3.42) 

p168  Interaction representation and renormalization

Chapter 4 Modeling

p191  There is no pure induction

p194 Repeated efforts to undermine the special status of natural science in human culture

Semicircular canal and spatial dimension (footnote 7)

p197 Footnote 16 Adaptor addendum:  Mirror neurons 

 Footnote 17 addendum (more quotes from Wittgenstein and 伝習録)

p198  Footnote 19 Sapir-Whorf thesis addendum

p199 Operationally well-defined correspondence

Footnote 21 Addendum Biology and women

 Truth does not exist apart from life. Footnote 22 addendum

p204  What sort of insight could numerical studies of the Riemann zeta function give?

 Footnote 34 `the arrogance of attempting to change the world’ Addendum

p205  Large scale models

 Ecology and surprise

 Food chain and parasitic organisms

p208  Correct differential equation for a given phenomenon ?

 Footnote 40 Popper’s original not available

 Footnote 41 (categorization) addendum

p209

p210 Mean spherical theorem

p211  C-program for spinodal decomposition and block-copolymer phase separation CDS model (2D) 

p215 Lanczos’ biography 

p224 Block copolymer program program = spinodal program + video

p225  Phase separation and chondrogenesis

p227  Turing model: Nodal-Lefty system

p228 On reaction-diffusion systems

p230  San Martin paper delay

Chapter 5 Toward Complexity

p235  The basso continuo of this chapter

The end of science (under construction) 

 Complex vs complicated

 Integrative Natural History 

p236 “usual ‘complex systems studies’ are off the mark”

p237 Not all eukaryotes use histones

p238  Book entitled  The Origin of Values

 Is human altruism due to intergroup conflicts?

p239  An introduction to the frame problem

 Meaning 

 Garbage In, Gospel Out

 Discussion 5.1

 Can we trust networks? Mostly not very much.  Footnote 7 addendum `emotional reaction is the intuitive form of value judgment’

p241 Life and flame

Can we trust networks? Mostly not very much.

 Turing pattern

 Benard pattern

p243  Computer languages (addendum): 

Critique of generative grammar

p244  Evolution of humans

 On Mesolithic revolution

Animal intelligence: not ordinary examples 

p245 Darwin process

Has Darwinism been demonstrated?

 Side issues of evolution

 Language and thought

p246 Footnote 25 addendum: mathematical performance 

Footnote 27 addendum: depth of observation records

 Footnote 28 On the difficulty of expression by language

 Nonlinguistic judgement

 Implicit cognition

 “It was my heart that followed my body.’’

p247  The Bible fundamentalism

 Logos-Davar and the intrinsic evilness of religions 

 Logos

 Critique of Polanyi

p248  Reconstitution of ribosomes

 Cell wall does not constitute itself spontaneity counterexample

 Cell and self-organization

p250

p251 Go’s understanding of protein folding (footnote 38)

p256 Possibility of completely different biological systems

p257  Footnote 53 Addendum

 Fig 5.4 Is it still OK for large C number organisms?

 Fundamental difference between Prokaryote and Eukaryote from the complexity point of view 

p259 Footnote 57 Semigroup word problem 

p262  Footnote 65 ‘Facts’ addendum

p265 As to the own concepts/tools (2) of ‘the theory of biological systems.’ 

Giardia 5SrRNA

p267  Catastrophe theory

p268 Footnote 77 Flame of fire addendum

p270 Punctuated equilibrium

p272  How do complex systems evolve?

p273 Landfall of animals

p274 Precursor elements to speak (cf footnote 90) another example

p275  Exaptation

Phylogeny of Metazoa

p276  Footnote 93 Equality of capabilities, addendum

p279  “The possibility to complexify is most widely open to the organisms that most preserve the

 common ancestor’s features” 

Bikonta controversy

p280  Footnote 102 PVC phyla addendum

p281  Following the wind and not missing good opportunities is much wiser.

p283 Chaperon reviews 

p284  Proteins with definite equilibriums structures are not majority

p285 E coli without topoisomerase I

p286 In relation to population a sober story of environmental destruction should be paid due attention 

p287  “Accomplishment of good things lies in long time.”

 The maturity of civil society