Alexander I. Stepanov

The Number and Culture.

The Rational Unconscious in Language, Fiction, Science, Present Politics, Philosophy, History


Instead of preface, or the New unconscious

Chapter 1. Number and culture, or Simplexes in the language, science, belles-lettres, politics, philosophy

1.1 Introduction
1.2 Theoretical model
1.3 Triple structures
(persons of pronouns; genders: masculine - feminine - neuter; past - present - future; three part's division of time by Confucius, Zoroastrians; the tense system in German; degrees of comparison for adjectives and adverbs: positive - comparative - superlative; articles: definite - indefinite - zero; parts of the sentence: two primes and a secondary; the Heaven - the Earth - the Hell (Paradise - Earth - Inferno); body - soul - spirit; geosphere - biosphere - noosphere; mind - sense - will; three levels of the ego by K. Jaspers; more - less - equal; rational quantities - algebraic irrational ones - transcendence; real numbers - complex numbers - quaternions; rich - middle - poor classes in modern Western societies; the nobility - the clergy - the third estate in absolutistic France; poetic social order in The Republic by Plato; estate order in the Russian empire; three forms of state service: military - civilian - court; three branches of state power: legislative - executive - judicial; the institute of tripartite commissions: business - trade unions - government; the court: prosecution - defence - judge; the forms of government: autocracy - oligarchy - democracy; types of legal power by M. Weber; standard classification of political movements: liberalism - conservatism - radicalism (variants: liberalism - conservatism - Marxism; liberalism - Marxism - nationalism); the Right - the Left - the Centre; the West - the East - the Third World; the notion of "the Third Way"; world-system analysis: kernel - semi-periphery - periphery; Russian ideology of the 19th century: orthodoxy - autocracy - nationality; state ideology of Thailand: nation - religion - monarchy; A. Ferguson: Ages of savagery - barbarism - civilization; Thomsen: the Stone - the Bronze - the Iron Ages; palaeolithic period - mesolithic period- New Stone Age; Ancient history - Middle Ages - Modern times; "Moscow is the Third Rome"; "the Third Reich"; "the Third Revelation"; classical system of literary genre: lyrics - epos - drama; tragedy - comedy - drama; literary process: author - reader - critic; ingredients of aesthetic object by M.M. Bakhtin: author - hero - audience; Frege's triangle: real object - concept - symbol (denotation - designation - name); F. de Saussure: langage - langue - parole (Germ.: Rede - Sprache - das Sprechen or Sprache - Sprachtum - Sprechart); mental structure of a person by S. Freud: the subconscious - consciousness - Super ego; faith - hope - love; spheres of moral law by Thomas Aquinas: the natural realm of elements - the heavenly world of the firmament - intelligible world; the threes by J. Boehme; the truth - the good - the beauty; the highest cognitive abilities by I. Kant: reason - intellect - the ability for judgement; Hegel: the universal - the particular - the single, being - nothing - becoming; quality - quantity - measure; essence - phenomenon - reality, law - ethics - morals, the family - the guild - the state, thesis - antithesis - synthesis; the life styles by S.A. Kierkegaard: aesthetic - ethic - religious; three main paradigms of New Age's philosophy by A.Whitehead: idealism - materialism - dualism; races of mankind: the three-race theory; ethnic kernel of American nation: the English - the Germans - the Irish; main groups of European nations: Romanic - Germanic - Slavonic; pivotal world religions: Christianity - Islam - Buddhism; three main parts of Christianity: Catholicism - Orthodoxy - Protestantism; key religious and philosophical components of the traditional Chinese culture: Confucianism - Daosism - Buddhism; the threes of folklore's heroes; Pythagorean classification of living intelligent creatures: God - man - a creature like Pythagoras; Pascal: "The God of Abraham, Isaac, Jacob, but not the God of philosophers"; Roman law: tres facuint collegium (the three make a collegium); number three by the Pre-Iranians, Chinese, primordial people; the structure of monogamic family: man - wife - children; three-dimensional physical space; re'sume')
1.4 Quaternion structures
1.4.1 Preliminary list of examples
(four-dimensional physical space; the aggregate states of the matter: solid - liquid - gas - plasma; the fundamental physical interactions: strong - electro-magnetic - weak - gravity; the Golden - the Silver - the Bronze - the Iron Ages; the four elements: earth - water - air - fire; the four of the Gospels (by Matthias, Mark, Lucas, John); the fours by A. Schopenhauer, H. L. Bergson; the four-dimensional time by M. Heidegger; the Ancient history - the Middle Ages - the New Age - the Newest; the social and economic structures by Marxism: slave-owning system - feudalism - capitalism - communism; the fourth type of political movements: bolsheviks; "Les trois mousquetaires" by A. Dumas: Athos - Porthos - Aramis - d'Artagnan; "The Karamazov Brothers" by Dostoyevsky: three legitimate sons and an illegitimate one; "The Golden Calf" by Il'f and Petrov: Kozlevitch - Balaganov - Panikovsky - Bender; the seasons: spring - summer - autumn - winter; the cardinal points: east - west - south - north; the times of the day: morning - afternoon - evening - night; division of the day in German; the fourth literary genre; quaternions by K. Jung; Paradise - Purgatory - Inferno - Earth; studies about Sophia in Russian religious philosophy; quaternions in the mass culture; "Three men in a boat (to say nothing of the dog)" by J. K. Jerome; the Beatles; simplexes)

1.4.2 Simplexes in politics The USSR and the CIS (the Commonwealth of Independent States) The territorial and political structure of the newest Europe
1.4.3 Other variety of quaternions
1.5 Systems with different logical structure
1.6 Summary of the first chapter

Chapter 2. Revolutions, "revolutions", society. The logical cycles of modern political history

Chapter 3. The golden section and other proportions in politics

3.1 Theoretical model. The post-war world community: the USA and the USSR
3.2 Russian Federation in the USSR. England in the United Kingdom of Great Britain and Nothern Ireland. Czechia in Czechoslovakia
3.3 Short historical reference
3.4 Bi-polar party systems
3.5 Peculiar cases of bi-polar systems: party system of the post-war Italy, the percentage of people participated in a poll
3.6 Quaternion party systems
3.7 Presidential and parliamentary elections, other attendant proportions
3.8 National majority and minority, national autonomies, etc.
3.9 Several more difficult cases. Variants of quaternion systems
3.10 The elections to Russian State Duma on 19 Dec. 1999. Remarks about Europe
3.11 Summary


A.1 Deduction and solution of the equation from the first chapter
A.1.1 A different way of deduction of the main equation from chapter 1
A.1.2 How do we know about the general solutions of the main equation from the first chapter?

A.2 Systems with significant order of elements' disposition. The golden section: the Occident and the Orient paradigms
A.3 Germany in the post-Yalta epoch and nowadays


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