Visions of Four Notions – Contents


Introduction to a Quadralectic Epistemology

by Marten KUILMAN

Falcon Press, Heemstede, 08072011,  ISBN 978-90-814420-2-2


It may, indeed be not only possible

But likely that life exists on other

Planets circling other suns;

And if it does then the chances

Are very good that it lives

Under blue skies with white clouds

And a yellow sun, with rivers and

Oceans of water nearby in plenty


John GRIBBIN (1982) – Genesis. The Origin of Man & the Universe



Fig. 1 – The flying and floating island of Laputa was moving in a curious way along the northern periphery of the island Balnibarbi.Voyages du captaine L. Gulliver en divers pays éloigne – Jonathan Swift (1727).


O Divine Spirit, sustain me on thy wings

(William Blake – Jeruzalem)


CONTENTS (press the heading for direct access)


1. Introduction                                                                                                              7

2. Right from the start                                                                                              15

2.1. The primordial part                                                                                               21

2.2. Two parts in the universe                                                                                     23

2.3. The three division creates dynamism                                                                27

2.4. The tetradic sense of stability                                                                             30

2.5. There is more to five                                                                                             34

3. Preliminary movements                                                                                       35

3.1. The signal                                                                                                                37

3.2. The symbol                                                                                                              39

3.3. The sign                                                                                                                   41

3.4. The language                                                                                                          43

4. Modern knowledge and new names                                                          58

4.1. The First Quadrant (I) – The ultimate unity                                                    60

4.1.1. Teilhard de Chardin (1881 – 1955)                                                                 63

4.1.2. Carl Gustav Jung (1875 – 1961)                                                                       66

4.1.3. Giordano Bruno (1546 – 1600)                                                                        72

4.1.4. Jan Christiaan Smuts (1870 – 1950)                                                               74

4.2. The Second Quadrant (II) – The first multiplicity                                          84

4.2.1. A proto-communication (II, 1)                                                                        85

4.2.2. The conscious first division (II, 2)                                                                  86

4.2.3. The valuation (II, 3)                                                                                           93 The definition of visible visibility                                                              114

4.2.4. The implementation (II, 4)                                                                             117 In the First Quadrant (I)                                                                              124 In the Second Quadrant (II)                                                                        126 In the Third Quadrant (III)                                                                          128 In the Fourth Quadrant (IV)                                                                        130

4.3. The Third Quadrant (III) – A partial unity                                                      134

4.4. The Fourth Quadrant (IV) – The last multiplicity                                         140

4.5. A Recapitulation                                                                                                   144

5. Comparisons                                                                                                 147

5.1. A cosmic comparison                                                                                           156

5.2. A terrestrial comparison                                                                                     166

6. To the boundaries of imagination                                                            170

6.1. Imagination on a human scale: proposal for a new European history                                                                                                                             176

6.2. Imagination on a geological scale: the presence of life in time                  186

6.2.1. Two groups of extinct animals                                                                        188 Trilobites                                                                                                           190 Ammonites                                                                                                       196

6.2.2. Large animals as time indicators                                                                    203

6.2.3. The relation between Man and planet Earth                                                209

6.3. Imagination on a cosmic scale: existence in space                                        225

6.3.1. The cosmic history of the earth                                                                      226

6.4. The ultimate consciousness: the universe                                                       233

7. Perspectives                                                                                                  247

7.1. The roots of understanding                                                                                 249

7.2. Inventarisation                                                                                                      253

7.3. Substantiality                                                                                                         255

7.4. Relativity of Meaning                                                                                           258

7.5. The Four-fold Man                                                                                                260

8. Glossary (of quadralectic and related terms)                                                    267

9. Bibliography                                                                                                 277

10. Illustrations                                                                                                289

11. About the author                                                                                       293



Cover of the 2009-Edition (5 march 2009) of ‘Visions of Four Notions‘ by Marten Kuilman. Falcon Press, Heemstede. ISBN 978-90-814420-2-2


4.1.3. Giordiano Bruno (1546 – 1600)

View from the Third Quadrant (III) to the First Quadrant (I)

The Italian Dominican friar and scholar Giordano Bruno (1546 – 1600) gave a thorough philosophical treatment of the First Quadrant from a Third Quadrant perspective. Bruno lived in turbulent times, and his life seemed a permanent flight from reality, running from his birthplace Nola (near Naples) to Rome (inquisition trial), Genua (pest), Noli, Venice, Geneva (in jail) and Paris.

His stay in Paris (1582/1583) was, in hindsight, the most rewarding. Bruno taught at the Collège Royal and was sent to London for a diplomatic mission. Again, conflict broke out and a return to Paris followed. The political situation, however, had changed, and he had to find refuge in Germany. More travels followed. He stayed in Prague and returned to Venice. Here, the Inquisition caught him again and a trial resulted in a deportation to Rome (and seven years in jail). He ended his life by burning at the stake on the 17th February of 1600 (WILDGEN, 1998).

Bruno’s frame of mind was dualistic and oppositional. However, a distinct extension into the triadic world provided him with the tools to embark in the dynamic aspects of a communication. His interest in the works of Raymond Lull (and a comprehensive publication of his doctrine in several works; see p. 17) had to do with the same intellectual dynamism with could be generated in a triadic system. The difference may be that Lull was acting to limit the four-division (BONNER, 1985; Vol. 1, p. 56 – 57), while Bruno tried to reach the latter from a two-division. Both men took these actions in order to develop a ‘metaphysics of unity’ (HENTSCHEL, 1988) in using the three-division as a steppingstone to an unity-in-multiplicity. The triangle consisted of:

1. The original unity is the place where the ‘immanence’ is seen as a unity of materia and forma. The oppositional nature of matter and form is neutralized here.

2. The multiplicity provides the extension, where transcendence can be achieved.

3. The harmonic unity is the area where a controversy is solved.

Bruno elaborated in his book ‘Von der Ursach’ (Of the Cause) on these different settings within a human relationship. He joined the formal and final causes together. This action brought Aristotle’s entelechia (see p. 60/61; fig. 20) back from four to three. Furthermore, Bruno joined the efficient cause and the form in the substratum (the material cause) together. By doing so, there was only a duality left in the causes (Ursachen): the First (final) and Second (formal) Quadrant coupled as the representation of the inside and the Third (material) and Fourth (efficient) Quadrant were connected as the outside.

Now the limited, oppositional stage was set to reach for the universal substance, which was the last, absolute and original unity. This goal could only be reached – in a dualistic mind – by taking a definite stance in the choice between the inside and outside. Bruno opted wholeheartedly for the latter.


A cryptic woodcut from the work of Bruno, 1591. P. 170, Abb. 38 in: WILDGEN, Wolfgang (1998). Das Kosmische Gedachtnis. Kosmologie, Semiotik und Gedachtnistheorie im Werke Giordano Brunos (1548 – 1600). Peter Lang, Frankfurt am Main. ISBN 3-363-3295

Bruno’s line of thought started – in a quadralectic interpretation – with the material (Third Quadrant), went through transcendental translations and ended with a nearly godly and eternal substance, which he called Dio (First Quadrant). The latter location makes it impossible to distinguish any difference between (formal) being and potential (final) being. He used the word natura naturans, to express the educational aspect of nature, towards this ultimate state of everything, which is or could become.

Because everything is possible in the absolute (of the First Quadrant), everything is real. There is no nothingness, only a complete reality of all being (be it material or spiritual). Everything is substantial. The plurality of worlds and the infinity of space are real and not creations of thought. The created world uses all possibilities of being and there is no choice made by a God, as Thomas of Aquinas proposed. It is the completion of the potentia absoluta, seen from the human perspective.

The inversion of the observational orientation – turning the vantage point from the First to the Third Quadrant – might be his main heresy. This shift implied a natural surrender to conscious subjectivism, which was not tolerated by the Church. The journey through Bruno’s path of division thinking was brilliantly recorded by MICHEL (1962/1973).

He described several stages of discours (ways of reasoning) in Bruno’s life. Bruno started in a Neo-Platonic mood with nine components (influenced by Raymond Lull). This initial number was reduced to five in 1583, then con-sisting of: sensus, imaginatio, ratio, intellectus, and mens. Another reduction (to four) took place in his book De l’Infinito universo e mondi (On the Infinite Universe and Worlds, 1584). The remaining four were earlier determined by Pythagoras and presented by Aristotle in his De Anima (On the Soul) (fig. 23):


Fig. 23 – A scheme of the ways of reasoning (discours) and the associated methods placed in a quadralectic environment (of quadrants).

Bruno brought the number further down in 1591 to three (sensus, ratio, and intellectus). The triptych ‘De Minimo’, ‘De Monade’ (‘A Pythagorean reverie’) and ‘De Immenso’ were a tribute to the three-division. Finally, the number was back again to four in his last work ‘Summa terminorum metaphysicorum’ (Zürich, 1591 – 1595). This development and change of vision during a human life might hint to more general rules, which can be applied to every intellectual presence.


The (historic-visible) life of Giordano Bruno (1546 – 1600) expressed in a universal CF-graph. The line of the CF-graph of the European cultural period is indicated. The encircled numbers refer to the periods in his life which were ruled by a particular form of division thinking (number of discourses/way of reasoning).