The Quadrature : Le Quadriparti – La Cuadratura

The Quadrature has been formulated and discovered or re-discovered many times in history. A book might be written to explain how and when the Quadrature is forgotten or recedes into the background. Perhaps the least understood formulation is that of Martin Heidegger. As M. Robitaille notes, following the studies by Jean-Francois Mattéi, Heideger´s “quadrature” (Geviert … Continue reading The Quadrature : Le Quadriparti – La Cuadratura

Richard Jung: “Surfaces Of Systems”

The work of R. Jung, especially the paper quoted below, shows the key turn we should take to re-define systems theory. This would be positive for Science in general, and certainly for all specialties dealing with social and technical systems. The conventional view criticised by Jung –one centred around mechanical metaphors—must be overcome. The key … Continue reading Richard Jung: “Surfaces Of Systems”

Les Deux Carrosses by Claude Gillot (circa 1707)

The painting Les Deux Carrosses by Claude Gillot presents a scene of street-level conflict where two carts pulled by servants are blocking each other. The characters in the painting, arranged around the binary opposition of the cart pullers (who are almost touching) gesticulate grotesquely. One of them is masked, and all are dressed in rich … Continue reading Les Deux Carrosses by Claude Gillot (circa 1707)

Information Theory

In  “Recent Contributions to the Mathematical Theory of Communication”  (University of Illinois Press, Urbana, 1964) Warren Weaver summarised the paradoxical character of Information Theory (as formulated by C. Shannon): “2.2 Information “The word information, in this theory, is used in a special sense that must not be confused with its ordinary usage. In particular, information … Continue reading Information Theory

Hegel: Intensive And Extensive Magnitude

The correlated terms of intensive and extensive abstraction have another antecedent in the reflections of G.W.F Hegel on intensive and extensive “magnitude.”  The following fragments can be found in Hegel’s “Science of Logic- Identity of Intensive and Extensive Magnitude” – sections 480, 481 and 483: “480. The determinateness of intensive magnitude is, therefore, to be … Continue reading Hegel: Intensive And Extensive Magnitude

K. Palmer: “The Inverse Dual Of a System”

One of the most important insights made in the realm of Systems Theory was due to Kent D. Palmer in a paper published in  2010. (Source: ). The key paper, under the title “Advanced Meta-Systems Theory For MetaSystems Engineers,” presents a radical reformulation of the relations between the concepts of “system” and “meta-system.” Palmer … Continue reading K. Palmer: “The Inverse Dual Of a System”

Distinctions: Two Kinds of Negative Statements

Careless discussion tends to ignore important philosophical criteria, as noted in previous notes and articles in this blog. One of these is the distinction between two basic types of negative statements: true negations, and complements of the predicate. Daniel J. Castellano, a mathematician and historian from MIT and Boston University covers these points in his … Continue reading Distinctions: Two Kinds of Negative Statements

J. Maritain on Extensive and Intensive Visualisation

In his “A Preface to Metaphysics,” (Fourth Lecture, section 10) Jacques Maritain writes: “I have already spoken of the most important distinction which the ancient drew between abstractio totalis, which I will call extensive visualisation, and abstractio formalis, which I will call intensive or characterising and typifying visualisation. At first intellectual visualisation is as yet … Continue reading J. Maritain on Extensive and Intensive Visualisation

Discontinuity in Language

Discontinuity  is manifest in language in the sense that there is a complete separation between the signifier and the signified, between the symbolic and that for which the symbol stands for. This is also called the “arbitrariness of the signifier” (see the work of Ferdinand de Saussure - ) The term “arbitrariness” means here … Continue reading Discontinuity in Language

Intensive and Extensive Abstraction

“When reflection, turning to the comprehension of chaotic experience, busies itself about recurrences, when it seeks to normalise in some way things coming and going, and to straighten out the causes of events, that reflection is inevitably turned toward something dynamic and independent, and can have no successful issue except in mechanical science. When on … Continue reading Intensive and Extensive Abstraction

Nihilism and Meaning Come Together

In “Against Philosophical Appeasement” ( ) Anthony and Mary Mansueto write a magnificent indictment of nihilism, which starts as follows: “Nothing is harder for this sceptical age than to believe that the universe ultimately has meaning –except, perhaps, the idea that such a belief is not only warranted, but is in fact commanded, by … Continue reading Nihilism and Meaning Come Together